How do you use the laplace transform to sovle this equation?
intergral from 0 to t f(r)f(t-r)dr=6t^3
How do u do this question. Some steps would be great. Thanks
- Anonymous1 decade agoFavorite Answer
intg[f(r).f(t-r)].dr from 0 ---> t is the convolution f * f by definition...
so take the laplace transform of both sides gives you;
F(s) . F(s) = 36/s^2
so F(s) = +/- 6/s^2
then take the inverse laplace of both sides to get;