Non exact differential equation, initial value problem

  • #1
295
4

Homework Statement


I am trying to solve the following:
y'''-9y'=54x-9-20e^2x with y(0)=8, y'(0)=5, y''(0)=38

Homework Equations




The Attempt at a Solution


upload_2016-12-8_9-34-25.png

upload_2016-12-8_9-34-52.png


The right answer is:
y= 2+2e^3x+2e^(-3x)-3x^2+x+2e^2x

I am only wrong on the coefficients C2 and C3. Where did I mess up in my solution?
 

Answers and Replies

  • #2
268
72
When computing ##y'## at the top of the second you are missing the constant ##1## coming from ##(x)'##=1.
 

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