Monday

July 28, 2014

July 28, 2014

Number of results: 106,010

**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 ...
*February 5, 2008 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
*March 3, 2013 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!
*August 6, 2012 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.
*February 12, 2011 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.
*February 12, 2011 by malcolm*

**Calculus **

Which of the following is a separable, first-order differential equation? A) dy/dx= x+y/2x B) dy/dx=x+y/x-y C) dy/dx=sinx << D) dy/dx=xy/x+y E) dy/dx= 2lnxy 2) The differential equation dy/dx=y/x^2 has a solution given by: A) y=C sqrt(x^2+4) B)y=C e^-1/x C)-1/2ex^2+C D) ...
*May 8, 2014 by Samantha*

**Calculus**

Consider the differential equation dy/dx=xy-y. Find d^2y/dx^2 in terms of x and y. Describe the region in the xy plane in which all solutions curves to the differential equation are concave down.
*May 1, 2014 by Michelle*

**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...
*March 14, 2011 by Anonymous*

**DIFFERENTIAL EQUATION**

find the differential equation of family of lines with slope and y intercept equal.
*June 16, 2012 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 ...
*November 18, 2008 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, ...
*May 17, 2011 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:
*April 21, 2013 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 ...
*December 15, 2012 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 ...
*January 24, 2013 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.
*May 31, 2007 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
*April 10, 2012 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
*March 10, 2011 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.
*March 14, 2011 by shasha*

**differential equations**

solve the differential equation by seperation of variables 5. y'=xy/2ln y
*March 17, 2011 by cathy*

**Differential Equations**

Solve the seperable differential equation for U. du/dt = e^(5u+7t) - Using the following initial condition U(0) = 12
*August 27, 2011 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...
*January 31, 2013 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...
*January 31, 2013 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?
*February 27, 2012 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 ...
*November 10, 2008 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
*July 9, 2012 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...
*January 31, 2013 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
*October 22, 2008 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.
*December 1, 2008 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 ...
*November 16, 2011 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 ...
*September 6, 2012 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
*May 19, 2008 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...
*April 10, 2012 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.
*January 22, 2013 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 ...
*November 14, 2008 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.
*March 17, 2011 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= ______
*May 19, 2013 by mark *

**differential equation!!**

How can I solve the differential equation? C = 15ð(2Dh+(3/4)D²) + ë (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?
*November 23, 2010 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)
*November 7, 2007 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...
*April 25, 2007 by Jessica*

**math**

how do you find the differential equation for t(dy/dt)+9y=8t and y(1)=6?
*January 29, 2009 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 ...
*March 16, 2011 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...
*March 27, 2013 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?
*December 1, 2009 by Ed*

**Calculus**

Find the particular solution of the differential equation particular solution of the differential equation dy/dx=(x−7)e^(−2y).
*November 15, 2013 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)=___________________
*January 22, 2013 by Bob*

**Math**

Determine the solution to the initial value differential equation: y′+2*y^2*e^(5*x)= 0 y(0)=2
*October 21, 2009 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)
*February 11, 2011 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...
*May 22, 2011 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 ...
*February 3, 2013 by Erica*

**Calculus**

dy/dx = 4ye^(5x) a) Separate the differential equation, then integrate both sides. b) Write the general solution as a function y(x). For the second part, I got y(x)=e^((5e^(5x))/(5)) + C but I don't understand how to separate differential equations and/or integrate both sides...
*June 16, 2014 by Jamie*

**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
*January 26, 2012 by Samantha*

**Engineering Math**

solve the 1st differential equation: y1+4y=cos(x) with intial condition y(pie/3)=1
*June 24, 2011 by Thomas*

**Differential Equation **

Find the general solution of (D^2-3D+2)(D-5)^Dy=0. (Hint:Use the auxiliary equation)
*July 14, 2012 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.
*February 11, 2009 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 ...
*February 3, 2013 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 ...
*February 3, 2013 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!
*May 6, 2012 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.
*March 7, 2009 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
*February 27, 2013 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 ...
*October 16, 2009 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)
*January 21, 2011 by mrunal*

**differential equation**

xy
*June 19, 2012 by sd*

**Maths, differential equation..**

( ( e^( -2( X^(1/2) ) ) / x^(1/2) ) - (dx/dy) = 1
*June 18, 2007 by Thirumalai*

**Differential equation**

dy/dx=(-8xy^2+4x)(4x+1)y-(8x^3+4x^2-1)
*July 1, 2011 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=_______?
*February 28, 2014 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.
*November 18, 2010 by Hannah*

**Differential equation**

1.) (2x+y)dy + (2x+y+6)dx=0 2.)(5t+1)t ds + (25t-1)sdt=0 thanks. :)
*November 22, 2008 by Akitsuke*

**calculus**

F''(x)=x^-3/2 f'(4)=1 f(0)=0 how do I solve this differential equation?
*January 10, 2011 by Chynna*

**solve the differential equation**

(D2-4D+3)y=sin2xcosx
*June 30, 2011 by MBU*

**CALCULUS**

Solve the differential equation: dy/dx = x (y^(1/3))
*May 29, 2012 by Anonymous*

**DIFFERENTIAL EQUATION**

Y=C1sin4x+C2cos4x+x
*June 16, 2012 by JAJA111111*

**Calulus 2**

Solve the differential equation: dy/dx = y^2 + y
*October 30, 2012 by Heather*

**Calculus 2**

Solve the differential equation: dy/dx = y^2 + y
*October 30, 2012 by Heather*

**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!
*January 15, 2014 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
*April 30, 2010 by Lana *

**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?
*December 14, 2007 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.
*February 28, 2011 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=
*April 30, 2012 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
*January 24, 2008 by Mischa*

**Calculus**

How would you solve this differential equation? dy/dx=1/2x+y-1
*May 1, 2011 by Joe Schmo*

**Differential Equation **

Find the general solution of y"+4y'-2y=0
*July 14, 2012 by Maegan*

**Maths**

Please help me solve this differential equation : x^3+ ¡¼(y+1)¡½^(2) dy/dx=0
*February 26, 2013 by Taldil*

**Maths**

Please help me solve this differential equation: dy/dx-(1+1/x)y=y^2
*February 26, 2013 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
*April 21, 2012 by Jen*

**Diff eqn- IVP**

The differential equation that governs the forced oscillation is shown below: 0.2 d²y/dt² + 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
*March 14, 2011 by shasha*

**calculus**

solve the following differential equation: y' + (y)tanh(x) - 2e^x = 0
*May 7, 2008 by Christine*

**university maths**

solve the following differential equation: (x^2+xy)dy=(xy-y^2)dx
*November 1, 2011 by anonymous*

**calculus**

Solve the following differential equation: f"(x)=sinx, x(0)=0, x'(0)=1
*December 6, 2011 by Derek*

**Differential Equation **

Find the general solution of y"-3y=8e^(3t)+4sint
*July 14, 2012 by Maegan*

**Engineering Maths**

please help solve this differential equation: x^3+(y+1)^2 dy/dx=0
*February 22, 2013 by Taldil*

**calculus**

Find the general solution to the differential equation: yy’ – x2 = 3.
*March 11, 2013 by beth49*

**Calculus 2**

solve this differential equation: dy/dt=0.06y(600-y) y(0)=10 y(t)=?
*March 20, 2013 by Maily*

**mathematics **

Solve the differential equation x^2dy+ (x-3xy + 1)=0
*June 27, 2014 by musonda c*

**Calculus**

Solve the differential equation dy/dx=3x^2y^2 with the condition that y(1)=4. I know that y= -1/(x^3 + c) but what do I do with the y(1)=4 part?
*May 18, 2014 by Ann*

**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
*March 28, 2012 by bobby*

**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 ...
*November 29, 2010 by Farah*

**Calculus**

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

**Calculus**

Find the particular solution of the differential equation y"(x) - y(x) = 1+e^x Please help.
*October 16, 2009 by Jane*

**calculus**

find the general solution to the differential equation. dy/dx=secxtanx-e^x
*February 25, 2011 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)
*February 28, 2011 by dyingincalc*

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