damoj

[tex] f(x) = 2\int_{0}^{t} sin(8u)f'(t-u) du + 8sin(8t) , t\geq 0 [/tex]
is this problem solvable? i've never seen an integral equation like this with an f'(t-u)

i tried to solve it us the convolution theorem and laplace transforms but ended up with

[tex] s^{2} F(s) + 64F(s)- 16(F(s) - f(0)) =64 [/tex]
and i havent been given f(0)