- #1
damoj
- 9
- 0
[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 haven't been given f(0)
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 haven't been given f(0)
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