Question

2)(20 pts.) Find the general solution of the non-homogeneous differential equation y^(4) −4y^(3) +15y′′ −22y′ +10y...

2)(20 pts.) Find the general solution of the non-homogeneous differential equation y^(4) −4y^(3) +15y′′ −22y′ +10y = 2cos2x+e^x. Determine the complementary solution yc and particular solution yp do not evaluate the coefficients of yp.

(I find it harder to evaluate without coefficients can you please especially pay attention to that, I promise I will give thumbs up)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the general solution to the non-homogeneous differential equation. y'' + 4y' + 3y = 2x2...
Find the general solution to the non-homogeneous differential equation. y'' + 4y' + 3y = 2x2 y(x) =
Find the general solution of the differential equation 10y' + 4y/x = 1/y^4
Find the general solution of the differential equation 10y' + 4y/x = 1/y^4
B. a non-homogeneous differential equation, a complementary solution, and a particular solution are given. Find a...
B. a non-homogeneous differential equation, a complementary solution, and a particular solution are given. Find a solution satisfying the given initial conditions. y''-2y'-3y=6 y(0)=3 y'(0) = 11 yc= C1e-x+C2e3x yp = -2 C. a third-order homogeneous linear equation and three linearly independent solutions are given. Find a particular solution satisfying the given initial conditions y'''+2y''-y'-2y=0, y(0) =1, y'(0) = 2, y''(0) = 0 y1=ex, y2=e-x,, y3= e-2x
Find the general solution of the non-homogeneous differential equation y "+ y = csc² x.
Find the general solution of the non-homogeneous differential equation y "+ y = csc² x.
Solve below differential equation d2ydx2+2dydx+3y=2sin2x coefficients of final answer/s should be exact. Ie radical/fraction form Find...
Solve below differential equation d2ydx2+2dydx+3y=2sin2x coefficients of final answer/s should be exact. Ie radical/fraction form Find the complementary solution yc Find the particular integral yp Find general solution y(x) Find the particular solution yp(x)
Consider the non-homogeneous equation y(4)−4y(3)+5y′′−4y′+4=2e2t+sinty(4)−4y(3)+5y″−4y′+4=2e2t+sin⁡t. The general solution of the corresponding homogeneous equation is yh=c1e2t+c2te2t+c3cost+c4sintyh=c1e2t+c2te2t+c3cos⁡t+c4sin⁡t. What...
Consider the non-homogeneous equation y(4)−4y(3)+5y′′−4y′+4=2e2t+sinty(4)−4y(3)+5y″−4y′+4=2e2t+sin⁡t. The general solution of the corresponding homogeneous equation is yh=c1e2t+c2te2t+c3cost+c4sintyh=c1e2t+c2te2t+c3cos⁡t+c4sin⁡t. What is the form of a particular solution ypyp?
Second-Order Linear Non-homogeneous with Constant Coefficients: Find the general solution to the following differential equation, using...
Second-Order Linear Non-homogeneous with Constant Coefficients: Find the general solution to the following differential equation, using the Method of Undetermined Coefficients. y''− 2y' + y = 4x + xe^x
Find a particular solution to the differential equation −4y″+4y′−1y=−1t^2+2t+2e^3t. yp=
Find a particular solution to the differential equation −4y″+4y′−1y=−1t^2+2t+2e^3t. yp=
1) Consider the following differential equation to be solved by variation of parameters. y'' + y...
1) Consider the following differential equation to be solved by variation of parameters. y'' + y = sec(θ) tan(θ) Find the complementary function of the differential equation. yc(θ) = Find the general solution of the differential equation. y(θ) = 2) Solve the given differential equation by undetermined coefficients. y'' + 5y' + 4y = 8 y(x) =
Find the general solution of the given higher order differential equation y^(4) + 4y^(3) − 4y^(2)...
Find the general solution of the given higher order differential equation y^(4) + 4y^(3) − 4y^(2) − 16y^(1) = 0 Derivatives of Y not power