- #1
Paradoxx
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Find the Fourier series solution to the differential equation x"+x=t
It's given that x(0)=x(1)=0
So, I'm trying to find a Fourier serie to x(t) and f(t)=t, and I'm know it must a serie of sin...
So here's my question...the limits of integration to the Bn, how do I define them? Will it be like 0 to L to both series? And about the x", after a I find the f(x) Fourier series I must just derive it and replace in the x"??
It's given that x(0)=x(1)=0
So, I'm trying to find a Fourier serie to x(t) and f(t)=t, and I'm know it must a serie of sin...
So here's my question...the limits of integration to the Bn, how do I define them? Will it be like 0 to L to both series? And about the x", after a I find the f(x) Fourier series I must just derive it and replace in the x"??