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Differential Equations
Page 6
Questions (803)
The radius of a sphere is increasing at a rate proportional to its radius. If the radius is 4 initially, and the radius is 10
3 answers
asked by
Mischa
1,429 views
Consider the following equation: dy/dt = −20y+7e⁻⁰∙⁵ Given that the value of y=5 when t=0, a) Use the Euler's method
2 answers
asked anonymously
45 views
Solve the initial value problem 8(t+1) dy/dt
−6y=12t for t>−1 with y(0)=17. Find the integrating factor, u(t)=
2 answers
asked anonymously
49 views
An analog input signal x(t) = 1.5 + 1.5sin(5t) is sampled with 1 kHz sampling frequency fs. Assuming that sampling starts at t =
1 answer
asked by
Anonymous
79 views
an analog input signal x(t) = 1.5 +0.5 sin(100t) is sampled with 2 kHz sampling frequency fs. Assuming that sampling starts at t
1 answer
asked by
Anonymous
79 views
y′′′−6y′′+ 11y′−6y= 0 where y(0) =y′(0) = 0, y′′(0) = 2
2 answers
asked by
vcadn
72 views
y′′′−6y′′+ 11y′−6y= 0 wherey(0) =y′(0) = 0, y′′(0) = 2
2 answers
asked by
vcadn
68 views
Solve the differential equation (x+ 2)2y′′−(x+ 2)y′+y= 3x+ 4.
2 answers
asked by
Domuz Gribi Hayat
140 views
Solve the initial value problem 2x2y′′+xy′−3y= 0 wherey(1) = 1,y′(1) = 4.
1 answer
asked by
Domuz Gribi Hayat
71 views
Question:
Consider the IVP dy/dt=f(y,t) =(t^2)*y - t + 5 , y(0)=5 Show that the function satisfies the Lipschitz continuity
1 answer
asked by
Ashley
84 views
u′′(x) − 4u′(x) + 4u(x) = 0 (x ∈ R),
1 answer
asked by
Anonymous
73 views
d^2y/dx^2=6x
2 answers
asked by
Anonymous
71 views
68.23 6.001
1 answer
asked by
Evaluate
95 views
The family of functions given by 𝑦 = 𝐾𝑒−4 𝑥⁄ is a solution to the differential equation
𝑑𝑦 𝑑𝑥 = 4𝑦
1 answer
asked by
john
153 views
Find f by solving the initial-value problem. (Remember to use absolute values where appropriate.)
f '(x) = (x + 1)/x ; f(1) = 5
1 answer
asked by
cleor
252 views
Consider the ODE
y''(x) − y(x) = f(x), lim x→±∞ y(x) = 0 for some sufficiently smooth function f. Your task in this
1 answer
asked by
Bob
310 views
solve the linear ODEs
dx − (1 + 2x tan y) dy = 0
1 answer
asked by
Apple
376 views
Find the solution of y''+3y'-4y=36e^2t with y(0)=5 and y'(0)=4. Find y(t). I don't know where to start, but I just need the
2 answers
asked by
Me
177 views
40 new students come to a class each year. At the end of the year, 10% of the students leave the school, 30% stay in the class
1 answer
asked by
Furkan
294 views
=y(y^2+1) dx + x (y^2-1) dy=0
1 answer
asked by
Aaron
136 views
Solve the initial-value problem for y as a function of x
(x^2+49)dy/dx=1
1 answer
asked by
Rpeep
270 views
Let y = f(x) be the solution to the differential equation dy/dx = y-x The point (5,1) is on the graph of the solution to this
3 answers
asked by
LR
1,503 views
How do we solve the following differential equation?
dr/[ (m/(r^2)) + vcos(theta) ] = r*d(theta)/(-vsin(theta) The answer is
1 answer
asked by
Ashley
285 views
(x^3+xy^2+y)dy+(x^2y+y^3+x)dx=0
It is non-exact DE and I'm stuck at making it an exact DE. Need help. Thank you.
1 answer
asked by
Hannah
202 views
Given the 2nd-order ODE
d^2 d 2------ f(x) - 4---- f(x) + 20f(x) = 2x dx^2 dx with initial conditions: f '(0)=2 and f(0)= 2
1 answer
asked by
Anonymous
209 views
Solve and find the general solution of y
(3x+1)y"-(12x+5y)y'+6y(2x+1)=28⁴√(3x+1)³.•e²x Help me out please ......
3 answers
asked by
Isaac
350 views
solve the following differential equations
dx/dt - 7x + y = 0 -->(1) dy/dt - 2x - 5y = 0 -->(2) (2)/(1) dy/dx = (2x+5y)/(7x-y)
3 answers
asked by
Aryaa
1,443 views
Solve (D^2-3D+2)y =x(x+4) and show that its general solution is given by y=Ae^x + Be^2x +(x^2/2) + (7x/2) + (19/4)
My work :
4 answers
asked by
Aryaa
353 views
dy/dx=(6x^2 *y^2)
4 answers
asked by
B
320 views
Obtain the governing differential equation for unidirectional flow in a circular pipe. Use N-S equations and employ cylindrical
1 answer
asked by
Johan
661 views
If dy/dx= sin^2(πy/4) and y=1 when x = 0, then find the value of x when y = 3.
A) 0 B) 8/π C) - π/8 D) None of these
4 answers
asked by
Karen
391 views
Hello, I am needing help to find the general solution to:
dy/dt + y = te' Thanks!
1 answer
asked by
Thomas
364 views
Determine the natural response for the systems described by the following difference equations:?
Edit a) y[n] -
1 answer
asked by
Jacob
398 views
(X+y) dx + xdy =0
2 answers
asked by
Anonymous
1,117 views
solve 1/(x^2+1) * y' + xy = 3 for y(0)=0
So I needed to find the integrating factor which is r(x)=e^(integral(p(x)dx)) so here
4 answers
asked by
Maddie
557 views
Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is
2 answers
asked by
Anonymous
1,029 views
I don't understand how to solve this. I can solve the left side and get yc, but I have no idea how to solve for the right side.
y
4 answers
asked by
Anonymous
425 views
We are learning how to solve systems of linear ODE's by elimination. I am not sure how to solve this:
x'=-y+t y'=x-t I took the
3 answers
asked by
Jefferson
1,052 views
solve initial value problem
t dy/dt = y + sqrt(t^2 + y^2) , y(1)=0
1 answer
asked by
George
319 views
solve the initial value problem and find the interval of existence...
cos(y) dy/dt = -t sin(y)/ (1+t^2) , y(1)=pi/2
2 answers
asked by
George
582 views
Find the integrating factor for the following differential equation
(cos8x)y′+8(tan8x)y=4sec8x,0<x<π/16.
2 answers
asked by
Anonymous
474 views
A 500-gallon tank initially contains 200 gallons of brine containing 85 pounds of dissolved salt. Brine containing 1 pounds of
3 answers
asked by
Anna
1,367 views
Find the general solution of the given differential equation.
x dy/dx − y = x^2 sin x I have solved to: y = -x cos(x) + cx The
4 answers
asked by
Jefferson
1,986 views
Hi, I can't seem to find out how to do this. My textbook has two Q(t) values in the example and I don't know how to interpret
3 answers
asked by
Catherine
1,522 views
what is the differential equation of (1/x-y)dx- (1/y+x)dy=0. Kindly help me. I'm cramming for my exams and there were a lot of
1 answer
asked by
shanel
418 views
what is the differential equation of (6x+1)y^2 dy/dx + 3x^2 +2y^3=0
1 answer
asked by
shanel
627 views
what is the differential equation of (2xy+1) + (x^2 + 3y^2)dy/dx=0
1 answer
asked by
shanel
313 views
what is the differential equation of (2x+y+1)dx + (2y+x+1)dy=0
2 answers
asked by
shanel
467 views
(Y'-x^2y^2)/sec x=0
1 answer
asked by
Sko
285 views
b. Explain why the initial value problem y'=4xsqrt(1-y^2) with y(0) = 4 does not have a solution.
I already solved the
1 answer
asked by
Danni
432 views
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