Hi, let's take this ode:(adsbygoogle = window.adsbygoogle || []).push({});

y''(t) = f(t),y(0)=0, y'(0)=0.

using the FT it becomes:

-w^2 Y(w) = F(w)

Y(w)=( -1/w^2 )F(w)

so i can say that-1/w^2is the fourier transorm of the green's function(let's call itG(w)).

then

y(t) = g(t) * f(t)

where(inverse fourier transorm)

g(t) =F^-1 (G(w))

how can i solve the integral to find g(t)?

iff(t)=0fort<0andf(t)=1fort>=0how can i say thaty(t)= 1/2t^2?

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# I Ode using Fourier Transform

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