(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

In this problem, we will solve the initial value inhomogeneous differential equation in two steps.

y''+4y=2x*e^(3x) y(0)=0 y'(0)=0

1.) First determine y_{p}the particular solution to the differential equation.

2.) Next determine y=y_{c}+y_{p}the complete solution to the differential equation.

3. The attempt at a solution

the roots i got were 0 and -4.

i did y''+4y=0

'equivalent' to: r^2 + 4r = 0

dont know what to do next. usually we'll go onto the y_{c}part but idk what its supposed to look like. the notes suggest that equation will have sin(something) and a cos(something)

help please! i should be able to do part 2 on my own; but we'll see

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# Initial value inhomogeneous differential equation

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