Question regarding finding the particular solution to nonhomogenous differentialequation.

tradBohus

New member
Joined
Feb 2, 2021
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8
I'm having an issue with the integration in the following problem, perhaps you can help:
I'm meant to find the particular solution to the differential equation
y'(t)+(-2t-8)*y(t)=131t-2t3
, which is in the form 1616262140152.png
I know that I can find the solution with the formula 1616261612130.png.
I have inserted P(t) (antiderivative of p(t)) and q(t) in the formula:
1616262306872.png
However, I do not know how to approach the integration of eP(T)*q(t). Does anyone have any advice?Thank you.
 

tradBohus

New member
Joined
Feb 2, 2021
Messages
8
The solution is meant to be a second degree polynomial.
 
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