Using Fourier Series to Find a Particular Solution to an ODE

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Problem 16 from my Spring 2020 Math 210 Final, we find a particular solution to the differential equation y'' + 3y = 2x. In the problem, we are given the 2-periodic Fourier series for 2x on the interval [-1,1].
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Hello Professor Adam, thanks for your video, and it's so helpful.

abdulrahmansalem
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Thank you for this very clear explanation!

inerammeloo
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thank you sir so much for your explanation
but where can we find those exams ????

houdamaarfi