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Nonhomogenous Second Order Linear Differential Equation

Please find the particular solution for xe^x in this problem and show all details.

d²y/dx² - y = xe^x

Solution Preview

Hi, here is the solution.

d^2/dx^2 -y = x e^x

This can be written as (D^2 -1) y = xe^x, where D = dy/dx

Auxiliary solution is ...

Solution Summary

The particular solution for a nonhomogenous second order linear differential equation is found. The solution is detailed and well presented.