I’m studying and need help with a Mathematics question to help me learn.

I need someone to solve this for me please?

(Keep the exact value of amplitude A as the fraction with the square root.)

Answer: y(t) = _____________________________________________________________

1. Find the inverse of Laplace transform for f(t):

L– 1 { }=f(t ) = _______________________________________________________,

Then, f (1) = _________________________, f(3) = ___________________________________.

2.Solve for y(t) from the integral equation:y’(t)=1 –sin(t) with y(0) = 0.

Answer:y(t) =__________________________________________________________________