Question

Find the convolution of f(t)=t and g(t)=e^t

Answer 1

f(t)*g(t)

Answer 2

The convolution of ƒ and g is defined as the integral of the product of the two functions after one is reversed and shifted.
So taking that it would stand to reason that:
\[f*g \rightarrow f(t) = t \space g(t) = e^t \rightarrow \int\limits_{}^{}f(t)g(e^t)\] Would become: \[\int\limits_{}^{}g(t)f(e^t)\]

Answer 3

Not sure what more you want to do with that. :)

Answer 4

Just understand it a little better I suppose, differential equations is a bit confusing to me, thanks though, that helped

Answer 5

I feel ya, integrals are a pain to wrap your head around at times.