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April 25, 2014

Search: Differential equation- Math

Number of results: 102,918

calculus-differential equation
Consider the differential equation: (du/dt)=-u^2(t^3-t) a) Find the general solution to the above differential equation. (Write the answer in a form such that its numerator is 1 and its integration constant is C). u=? b) Find the particular solution of the above differential ...
Tuesday, February 5, 2008 at 5:19pm by Jeff

math (differential equation)
show that y sub n=cos(ncos^-1(x)) satisfies the differential equation: (1-x^2)(d^2y/dx^2)-x(dy/dx)+n^2(dy/dx)=0
Sunday, March 3, 2013 at 4:53pm by shoosh

Calculus
Solve the differential equation dy/dx = -xe^y and determine the equation of the curve through P(1,2) I tried solving the differential equation and I get y = log(x^2/2 + C). Is this correct? Now I forgot how to find the equation. Thank you!
Monday, August 6, 2012 at 8:20pm by Robert

calculus differential equation
Find in implicit form the general solution of differential equation dy/dx=2(e^x-e^-x)/y^2(e^x+e^-x)^4 with (y>0). I know this requires a seperation of variables but I beyond that I am confused by how.Thanks.
Saturday, February 12, 2011 at 12:52pm by malcolm

calculus differential equation
Find in implicit form the general solution of differential equation dy/dx=2(e^x-e^-x)/y^2(e^x+e^-x)^4 with (y>0). I know this requires a seperation of variables but I beyond that I am confused by how.Thanks.
Saturday, February 12, 2011 at 12:53pm by malcolm

math
a bank account earns 7% annual interest compounded continuously. you deposit $10,000 in the account, and withdraw money continuously from the account at a rate of $1000 per year. a. write the differential equation for the balance, B, in the account after t years b. what is the...
Monday, March 14, 2011 at 5:04pm by Anonymous

DIFFERENTIAL EQUATION
find the differential equation of family of lines with slope and y intercept equal.
Saturday, June 16, 2012 at 4:37am by JAJA111111

Math
For the harmonic potential V(x,y) = x^2 + y^2 a) Find the total differential, dV. For this I got dV = 2x.dx + 2y.dy b) Given that -dV = F(x).dx + F(y).dy, where F(x) and F(y) is the force in the x and y direction, respectively, write a differential equation describing the ...
Tuesday, November 18, 2008 at 9:36am by Beth

math
The displacement s (in metres) of a body in a damped mechanical system, with no external forces satisfies the following differential equation: 6 3 2 2    dt ds dt d s where t represents time in seconds. If at time t = 0, s = 0 and  5 dt ds m/s, ...
Tuesday, May 17, 2011 at 5:42pm by Karl Haxell

math numerical methods
Consider the following second order differential equation: y"-2x^(2)y+y^(3)=17cos(4x) with y(0)=4 , y'(0)=-9 If we let u=y and v=y′ then as an AUTONOMOUS first order system, the second order differential equation is correctly expressed as:
Sunday, April 21, 2013 at 3:06am by mahdi

Math
a weight of mass m is attached to a spring and oscillates with simple harmonic motion. By Hooke's Law, the vertical displacement, y(t) satisfies the differential equation dy/dt=sqrt(k/m)*sqrt(A^2-y^2) where A(Fixed) is the maximum displacement and k is a constant, solve this ...
Saturday, December 15, 2012 at 8:00pm by A.J.

Differential Equations
The velocity v of a freefalling skydiver is well modeled by the differential equation m*dv/dt=mg-kv^2 where m is the mass of the skydiver, g is the gravitational constant, and k is the drag coefficient determined by the position of the driver during the dive. (a)Find the ...
Thursday, January 24, 2013 at 12:58am by Erica

math
10. Sales of televisions grow at a rate proportional to the amount present (t is measured in days). (a)Set up a differential equation to model this problem. (b)Solve the differential equation if at t = 0, there are 20 televisions sold and after 3 days, 500televisions are sold.
Thursday, May 31, 2007 at 8:06pm by dougal

calculus
verify that y=c/x^2 is a general solution of the differential equation y'+(2/x) y=0-6y=0 then find a particular solution of the differential equation that satisfies the side condition y(1)=2
Tuesday, April 10, 2012 at 11:40am by mari

differential equation
A simple pendulum of length l, is oscillating through a small angle theta, in a medium for which the resistance is proportional to the velocity. Obtain the differential equation of its motion and discuss the motion
Thursday, March 10, 2011 at 9:15pm by aamiraa

differential equation
A simple pendulum of length is oscillating through a small angle θ in a medium for which the resistance is proportional to the velocity. Obtain the differential equation of its motion and discuss the motion.
Monday, March 14, 2011 at 8:03am by shasha

differential equations
solve the differential equation by seperation of variables 5. y'=xy/2ln y
Thursday, March 17, 2011 at 7:24pm by cathy

Differential Equations
Solve the seperable differential equation for U. du/dt = e^(5u+7t) - Using the following initial condition U(0) = 12
Saturday, August 27, 2011 at 1:55pm by Kody

Differential Equations
Consider the differential equation: dy/dt=y/t^2 a) Show that the constant function y1(t)=0 is a solution. b)Show that there are infinitely many other functions that satisfy the differential equation, that agree with this solution when t<=0, but that are nonzero when t>0...
Thursday, January 31, 2013 at 12:35am by Erica

Differential Equations
Consider the differential equation: dy/dt=y/t^2 a) Show that the constant function y1(t)=0 is a solution. b)Show that there are infinitely many other functions that satisfy the differential equation, that agree with this solution when t<=0, but that are nonzero when t>0...
Thursday, January 31, 2013 at 3:41pm by Erica

AB Calculus
So I'm supposed to verify the solution of the differential equation. The solution is y=e^(-x). The differential equation is 3y' + 4y = e^(-x). What is the problem asking me to do here?
Monday, February 27, 2012 at 12:07pm by Hannah

Chemistry/Math
Write a differential equation describing a second order reaction a reaction in which the rate of depletion of the concentration of the reactants depends on the square of reactants concentration. Solve this differential equation and hence find an expression for the ...
Monday, November 10, 2008 at 2:09pm by Alice

Differential Equations
Solve the differential equation below with initial conditions. Compute the first 6 coefficient. Find the general pattern. (1-x)y"-y'+xy=0 y(0)=1, y'(0)=1
Monday, July 9, 2012 at 5:26pm by Jason

Differential Equations
Consider the differential equation: dy/dt=y/t^2 a) Show that the constant function y1(t)=0 is a solution. b)Show that there are infinitely many other functions that satisfy the differential equation, that agree with this solution when t<=0, but that are nonzero when t>0...
Thursday, January 31, 2013 at 11:46am by Erica

Differential Equation
Hello everyone. I was wondering if anyone knows a site that could help me with the homework free online...with Differential equations. it would be great. I need help on in big time thank you
Wednesday, October 22, 2008 at 10:24am by mary

calculus
is y = x^3 a solution to the differential equation xy'-3y=0?? how do i go about solving this??? also, is there a trick to understanding differential equations? i'm really struggling with this idea, but i'm too embarassed to ask my professor for help.
Monday, December 1, 2008 at 9:10pm by Kenneth

differential equations
Consider the 2nd order differential equation: x''(t)=-x-A(x^2-1)x'(t) x(0)= 0.5 x'0)= 0 ''= 2nd order,'= 1st order where A is a positive constant.As the value of A increases this equation becomes increasingly stiff. Convert this equation to two first-order equations. please ...
Wednesday, November 16, 2011 at 12:23pm by Rikki

Math
I need to solve this set of differential equations {y'+(t/2)1, y(0)=1} and then find the limiting value as t approaches infinity. I'm not sure where to start. I found the answer to the differential equation to be: y(t)=e^-t^2/4[e^(r^2/4)dr +Ce^(-t^2/4)where the [ sign ...
Thursday, September 6, 2012 at 8:57pm by Emily

calculus
consider the differential equation dy/dx= (y - 1)/ x squared where x not = 0 a) find the particular solution y= f(x) to the differential equation with the initial condition f(2)=0 (b)for the particular solution y = F(x) described in part (a) find lim F(x) X goes to infinity
Monday, May 19, 2008 at 3:25am by sammy

calculus
determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false a) the function f(x)=3/2 +cx^-2 is a solution of the differential equation xy'+2y=3 b) the differential equation dy/dx= (f(x)g(y...
Tuesday, April 10, 2012 at 11:44am by jhony

Differential Equations
Find the general solution of the differential equation specified. 1) dy/dt= 1/(ty+1+y+1) 2) dy/dx=sec y I got y(x)=arcsin(x) for the second one. I'm not sure what to do with the first one.
Tuesday, January 22, 2013 at 10:14pm by Erica

Physics
For the harmonic potential V(x,y) = x^2 + y^2 a)Find the total differential, dV. b) Show that dV is exact c) Given that -dV = Fx.dx + Fy.dy where Fx and Fy is the force in the x and y direction, respectively, write a differential equation describing the change of potential ...
Friday, November 14, 2008 at 12:04pm by Beth

Differential equation- Math
Find the general solution of the following system of equation? Please help, i don't know what to do... dx/dt = 3x +2y +2z dy/dt = -5x - 4y - 2z dz/dt = 5x + 5y +3z.
Thursday, March 17, 2011 at 8:49am by katie

math
Can someone please help? Solve the differential equation dy/dx = 6xy with the condition y(0) = 40 Find the solution to the equation y= ______
Sunday, May 19, 2013 at 7:27pm by mark

differential equation!!
How can I solve the differential equation? C = 15(2Dh+(3/4)D) + (94.25 Dh+35.34 D^2)/(pi D^2h/4) first dC/dD? second d^2C/dD^2? first dC/dh? second d^2C/dh^2?
Tuesday, November 23, 2010 at 9:42pm by Alicia

calculus
Can you give me a good website on the topic, slope fields and differential equations? I need to match six slope fields with the correct differential equation. 1. dy/dx=x-y 2. dy/dx=1+x 3. dy/dx=cosx 4. dy/dx=2x 5. dy/dx=x+y 6. dy/dx=y(2-y)
Wednesday, November 7, 2007 at 12:27am by Anonymous

Ap Calculus
Ok, I've been doing BC review tests to prepare for the AP exam. I came across this free response problem and I have no idea how to do it, can someone please help me with this? It gives the differential equations: dP/dt = .03P(30-P) and it asks "Find the general solution to the...
Wednesday, April 25, 2007 at 1:41pm by Jessica

math
how do you find the differential equation for t(dy/dt)+9y=8t and y(1)=6?
Thursday, January 29, 2009 at 11:31pm by alice

MATH
Differential equations, initial value problem. The general equation of motion is: mx"+Bx'+kx=f(t), where the independent variable is t, and the displacement x is the dependent variable. In this case, external force f(t)=0, so mx"+Bx'+kx=0 substitute m=0.25, k=4, B=1 we have a ...
Wednesday, March 16, 2011 at 1:54pm by Anonymous

I would like to understand my calc homework:/
Consider the differential equation given by dy/dx=(xy)/(2) A) sketch a slope field (I already did this) B) let f be the function that satisfies the given fifferential equation for the tangent line to the curve y=f(x) through the point (1,1). Then use your tangent line equation...
Wednesday, March 27, 2013 at 7:40pm by Amber

math
f"(x)=2, f'(2)=5, f(2)=10. solve this differential equation by finding the particular solution. How do you do this?
Tuesday, December 1, 2009 at 7:47pm by Ed

Calculus
Find the particular solution of the differential equation particular solution of the differential equation dy/dx=(x−7)e^(−2y).
Friday, November 15, 2013 at 1:36pm by Robin

Math
Find the general solution F(x,y)=C of the differential equation: (-3(x^2)y-8x)dy+(-3xy^2-8y)dx=0 Where F(x,y)=___________________
Tuesday, January 22, 2013 at 7:13pm by Bob

Math
Determine the solution to the initial value differential equation: y′+2*y^2*e^(5*x)= 0 y(0)=2
Wednesday, October 21, 2009 at 9:14pm by AK

math
find general solution in implicit form of differential equation dy/dx= 2(e^x-e^-x)/y^2(e^x+e^-x)^4 (y>0)
Friday, February 11, 2011 at 1:08pm by mike

calculus
Sorry to post this again, but I am still unable to understand it and need help. Please help.1) Using 3(x-3)(x^2-6x+23)^2 as the answer to differentiating f(x)=(x^2-6x+23)^3/2, which I have been able to do, I need to find the general solution of the differential equation dy/dx...
Sunday, May 22, 2011 at 1:33pm by Claire

Differential Equations
a) Sketch the phase line for the differential equation dy/dt=1/((y-2)(y+1)) and discuss the behavior of the solution with initial condition y(0)=1/2 b) Apply analytic techniques to the initial-value problem dy/dt=1/((y-2)(y+1))), y(0)=1/2 and compare your results with your ...
Sunday, February 3, 2013 at 4:53pm by Erica

Differential Equations
A rabbit starts at the origin and runs up the right branch of the parabola y=x^2 with speed a. At the same time a dog, running with speed b, starts at the point (c,0) and pursues the rabbit. Write a differential equation for the path of the dog
Thursday, January 26, 2012 at 7:41pm by Samantha

Engineering Math
solve the 1st differential equation: y1+4y=cos(x) with intial condition y(pie/3)=1
Friday, June 24, 2011 at 2:26pm by Thomas

Differential Equation
Find the general solution of (D^2-3D+2)(D-5)^Dy=0. (Hint:Use the auxiliary equation)
Saturday, July 14, 2012 at 12:46am by Maegan

CACULUS
dy/dx = (y-1)^2 cosπx There's a horizontal line with equation y=c that satisfies this differential equation. Find the value of c.
Wednesday, February 11, 2009 at 10:58pm by JIM

Differential Equations
a) Sketch the phase line for the differential equation dy/dt=1/((y-2)(y+1)) and discuss the behavior of the solution with initial condition y(0)=1/2 b) Apply analytic techniques to the initial-value problem dy/dt=1/((y-2)(y+1))), y(0)=1/2 and compare your results with your ...
Sunday, February 3, 2013 at 1:37am by Erica

Differential eqns
a) Sketch the phase line for the differential equation dy/dt=1/((y-2)(y+1)) and discuss the behavior of the solution with initial condition y(0)=1/2 b) Apply analytic techniques to the initial-value problem dy/dt=1/((y-2)(y+1))), y(0)=1/2 and compare your results with your ...
Sunday, February 3, 2013 at 2:51pm by Erica

Calc
I have the differential equation dP/dt = 0.5(800-P) and I need to get the population equation P(t). Can someone walk me through the steps? Thanks!
Sunday, May 6, 2012 at 1:31pm by Kris

calculus
d=dmax (1-e^(-kt)) This equation is the result of integrating an ordinary differential equation. Derive that ODE and the associated initial condition.
Saturday, March 7, 2009 at 8:32am by dolphin1384

Math
Hi. please help me solve the ffg. differential equation: D^2y=3sinx-4y given y=0 and dy/dx=1 at x=pie/2 Need full solution. Tx
Wednesday, February 27, 2013 at 6:51am by Ash

Calculus
I'm having trouble with part of a question in a problem set. The question reads as follows: Continuous price discounting. To encourage buyers to place 100-unit orders, your firm's sales department applies a continuous discount that makes the unit price a function p(x) of the ...
Friday, October 16, 2009 at 9:36am by Kelly

math
how do i solve differential equation dy/dx=3/(2-x) and use graphing utility to graph 3 solutions,one which passes through the point(1,0)
Friday, January 21, 2011 at 12:26am by mrunal

differential equation
xy
Tuesday, June 19, 2012 at 2:59am by sd

Maths, differential equation..
( ( e^( -2( X^(1/2) ) ) / x^(1/2) ) - (dx/dy) = 1
Monday, June 18, 2007 at 7:36am by Thirumalai

Differential equation
dy/dx=(-8xy^2+4x)(4x+1)y-(8x^3+4x^2-1)
Friday, July 1, 2011 at 12:59am by Maria

Calculus Please help!
The differential of the function y=(x^2+6)^3 is dy=______dx. When x=2 and dx=0.05, the differential dy=_______? A) dy=______dx? B) the differential dy=_______?
Friday, February 28, 2014 at 8:19pm by ALI

Calculus
1)Find the particular solution of the differential equation xy'+3y=80xlnx (x>0) satisfying the initial condition y(1)=4 2)Find the particular solution of the differential equation y'−1y=−5x+3 satisfying the initial condition y(0)=3.
Thursday, November 18, 2010 at 8:24pm by Hannah

Math: Differential Equations
I've been stuck on this math hw problem for a while, I was thinking of taking the integral of the equation, but I've been messing up too much that I'm not sure anymore. Q: Is it possible to solve y'=x/(x^(2)-1) for y(1) = 0? Thank you!
Wednesday, January 15, 2014 at 11:47pm by Student

Math
how do i solveseparable differential equation 7x−4y sqrt(x^2+1) dxdy=0 Subject to the initial condition: y(0)=−10
Friday, April 30, 2010 at 8:56pm by Lana

Differential equation
1.) (2x+y)dy + (2x+y+6)dx=0 2.)(5t+1)t ds + (25t-1)sdt=0 thanks. :)
Saturday, November 22, 2008 at 10:05pm by Akitsuke

calculus
F''(x)=x^-3/2 f'(4)=1 f(0)=0 how do I solve this differential equation?
Monday, January 10, 2011 at 5:34pm by Chynna

solve the differential equation
(D2-4D+3)y=sin2xcosx
Thursday, June 30, 2011 at 4:31am by MBU

CALCULUS
Solve the differential equation: dy/dx = x (y^(1/3))
Tuesday, May 29, 2012 at 8:00pm by Anonymous

DIFFERENTIAL EQUATION
Y=C1sin4x+C2cos4x+x
Saturday, June 16, 2012 at 3:00am by JAJA111111

Calulus 2
Solve the differential equation: dy/dx = y^2 + y
Tuesday, October 30, 2012 at 5:16pm by Heather

Calculus 2
Solve the differential equation: dy/dx = y^2 + y
Tuesday, October 30, 2012 at 7:44pm by Heather

maths
how would i solve the differential equation dx/dt=-kx^2 i.e. solve for x as a function of t. I've been told to rearrange the equation to yield dx/x^2=-k dt but what can and should I do now?
Friday, December 14, 2007 at 7:01pm by xX_Supaman_Xx

Calculus AB
Solve the differential equation: dy/dx= (x^2+y^2)/(2xy) I know how to solve this type of problem, but I am struggling getting all of the x's and y's on different sides of the equation. Thank you for your help.
Monday, February 28, 2011 at 2:58am by Jake

math
Write and solve the differential equation that models the verbal statement. Using k for the constant of proportionality The rate of change of N with respect to s is proportional to 626 − s. dN/ds= N=
Monday, April 30, 2012 at 7:21am by ella

calc
Find m and b so that y=mx+b is a solution to the differential equation dy/dx=1/2x+y-1
Thursday, January 24, 2008 at 4:24pm by Mischa

Calculus
How would you solve this differential equation? dy/dx=1/2x+y-1
Sunday, May 1, 2011 at 3:10pm by Joe Schmo

Differential Equation
Find the general solution of y"+4y'-2y=0
Saturday, July 14, 2012 at 12:48am by Maegan

Maths
Please help me solve this differential equation : x^3+ (y+1)^(2) dy/dx=0
Tuesday, February 26, 2013 at 6:07am by Taldil

Maths
Please help me solve this differential equation: dy/dx-(1+1/x)y=y^2
Tuesday, February 26, 2013 at 6:09am by Taldil

math
Seek power series solution of the given differential equation about the given point x0; find the recurrence relation. (1-x)y'' + y = 0; x0 = 0
Saturday, April 21, 2012 at 5:18pm by Jen

Diff eqn- IVP
The differential equation that governs the forced oscillation is shown below: 0.2 dy/dt + 1.2 dy/dt +2y = r(t) where r(t) is the external force. Given that r(t) = 5 cos 4t with y(0) = 0 . find the equation of motion of the forced oscillations
Monday, March 14, 2011 at 7:36am by shasha

math
Let y = tan(5x+2). Find the differential dy when x = 2 and dx = 0.4 Find the differential dy when x = 2 and dx = 0.8
Wednesday, March 28, 2012 at 10:13pm by bobby

calculus
solve the following differential equation: y' + (y)tanh(x) - 2e^x = 0
Wednesday, May 7, 2008 at 11:09am by Christine

university maths
solve the following differential equation: (x^2+xy)dy=(xy-y^2)dx
Tuesday, November 1, 2011 at 9:50am by anonymous

calculus
Solve the following differential equation: f"(x)=sinx, x(0)=0, x'(0)=1
Tuesday, December 6, 2011 at 10:28pm by Derek

Differential Equation
Find the general solution of y"-3y=8e^(3t)+4sint
Saturday, July 14, 2012 at 12:49am by Maegan

Engineering Maths
please help solve this differential equation: x^3+(y+1)^2 dy/dx=0
Friday, February 22, 2013 at 2:52pm by Taldil

calculus
Find the general solution to the differential equation: yy x2 = 3.
Monday, March 11, 2013 at 2:58pm by beth49

Calculus 2
solve this differential equation: dy/dt=0.06y(600-y) y(0)=10 y(t)=?
Wednesday, March 20, 2013 at 12:23pm by Maily

Math - derivative of sinusoidal (check)
a) Find a function y=f(x) that satisfies the differential equation dy/dx = fifth derivative. This is one of the questions in my practice test, I tried the basic equation of the trig function such as f(x)= sin(x) or f(x)=-sin(x) however in the fourth derivative they reach the ...
Monday, November 29, 2010 at 5:53am by Farah

Calculus
For which values of r does the function defined by y=e^(rt) satisfy the differential equation y''+ y'-6y = 0
Thursday, January 10, 2008 at 6:18pm by Matt

Calculus
Find the particular solution of the differential equation y"(x) - y(x) = 1+e^x Please help.
Friday, October 16, 2009 at 8:38pm by Jane

calculus
find the general solution to the differential equation. dy/dx=secxtanx-e^x
Friday, February 25, 2011 at 2:06pm by Anonymous

Calculus AB
Verify if the given equations are solutions to the differential equation. dy/dt=k(y-a) i) y=1-ae^(kt) ii) y=a+Ce^(kt)
Monday, February 28, 2011 at 11:21pm by dyingincalc

calculus
solve the differential equation by seperation of variables 3. dy/dx=e^(2x)/4y3
Thursday, March 17, 2011 at 7:02pm by steve

calculus
y'=xy/2ln y how do you solve the differential equation by seperation of variables
Thursday, March 17, 2011 at 7:48pm by smiley

differential equation
Find the Laplace transform by using the theorem of L{f(t-a)H(t-a)}=(e^-as)F(s) L{(e^4t)H(t-10)}
Sunday, April 24, 2011 at 2:20pm by farook

calculus
verify that y=C1e^2x + C2e^-3 is a solution of the differential equation y''+y'-6y=0
Tuesday, April 10, 2012 at 11:35am by mari

ap calculus
let y=f(x) be the particular solution for the differential equation with the initial condition y(-1_=3/2
Saturday, April 28, 2012 at 11:03pm by linda

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