Forgive me, I don't quite understand it. How is it only about differentiate? There is an integral on the answer y(t), you can get rid of it on y''(t), but I don't know how to get rid of it on λ^2*y(t)
[b]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
Homework Equations
[b]3. I tried to do integration by parts on y(t), but...
This is NOT a school work/homework, it's just a problem relate to my personal interest found on a ballastics book. And I already converted all units into SI units to make it simple.
I tried but couldn't get to correct answer.
Please not a is speed of sound, K2 is a constant with equation.
The...