Apply laplace transform on both sides.
hey guys,
not too sure if this is the right area, but i have 2 maths problems that i am struggling with. Does anyone know how to do these two laplace questions?
i have already tried once and failed and i only get one more attempt on the online test
Find laplace of
d^2y/dt^t-13dy/dt+42y=6e^(-4t)
y(0)=0
y'(0)=3
and find the solution of the integral using laplace
f(t)=5+3t^2+2{f(u)sin(2(t-u))
the { is meant to be the integral sign
Thanks
You can find the LT of the first DE using the standard tables and theorems. The initial conditions get included when you take the LT of derivatives. As for the second equation, the integral there is a convolution, which transforms in a particularly nice fashion. I think you meant to say, "Find the solution of the integral equation using Laplace...", right?
So, what do you get when you apply these techniques?