- #1
DuncP89
- 4
- 0
1. Check that
y(t)=1/λ ∫_0-t_〖f(s) *sin(λ(t-s) )ds〗
is the solution of the following initial value problem
y''(t)+λ^2y(t)=f(t), λ>0, y(0)=0,y'(0)=0
3. I tried to do integration by parts on y(t), but just doesn't work. I'm not sure how to prove it using those two initial conditions
y(t)=1/λ ∫_0-t_〖f(s) *sin(λ(t-s) )ds〗
is the solution of the following initial value problem
y''(t)+λ^2y(t)=f(t), λ>0, y(0)=0,y'(0)=0
Homework Equations
3. I tried to do integration by parts on y(t), but just doesn't work. I'm not sure how to prove it using those two initial conditions