Non-homogenous second order linear differential equations

Please find the general solution of the nonhomogenous second order linear differential equation below by following these steps: 1. Find the general solution y= C1y1 + C2y2 of the associated homogenous equation (complementary solution) 2. Find a single solution of yp of above.(particular solution). 3. Express the general so ...continues

Solve linear differential equation

Solve the initial value problem below. the initial condition is y(0) = -6 The differential equation is dy/dx + xy = x Please show all details in the solution, including the steps to find the value of C. thank you!

Nonhomogenous second order differential equations

Please find the General solution to the nonhomogenous second order differential equation below. Please show all details in your solution. Thank you d²y/dt² - 9y = sint

Particular solution of differential equation

How do you find the particular solution of this differential equation? I'm not sure if I need to use the product rule because it's xe^x. Please show the solution. thanks The differential equation is: d²y/dx² - y = xe^x For the first part of the general solution, I got y=Ae^x + Be^-x where a and b are constants. ...continues

Nonhomogenous second order linear differential equations

Find the general solution of the nonhomogenous second order linear differential equation below. Please show detailed solution steps. Thanks, d²y/dx² + 5dy/dx - 6y = 7e^x

Nonhomogenous second order linear differential equation

Please find the general solution of the nonhomogenous second order linear differential equation below. Please show all details in the solution. Thanks d²y/dx² + 6dy/dx + 9y = e^(-4x)

Solve diff eq and find green's function

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Particular solution for nonhomogenous second order linear diff-eq

I have already found the first part of the general solution for the equation below, but am not sure how to find the particular solution for the sint part of the equation. Please find the particular solution for sint in this problem and show all details.thanks. d²y/dt² - 9y = sint

Particular solution for non-homog.second order linear diff- eq.

I have already found the first part of the general solution for the equation below, but am not sure how to find the particular solution for the cosx part of the equation. Please find the particular solution for cosx in this problem and show all details.thanks. d²y/dx² + y = cosx

Particular solution for nonhomogenous second order linear diff-eq

I have already found the first part of the general solution for the equation below, but am not sure how to find the particular solution for the xe^x part of the equation. Please find the particular solution for xe^x in this problem and show all details.thanks. d²y/dx² - y = xe^x