1. Solve using the Laplace transform y” − 6y’ + 18y = 36 y(0) = 1,…

1. Solve using the Laplace transform
y” − 6y’ + 18y = 36 y(0) = 1, y'(0) = 6
3. Solve
t
f(t)−cos2t + ∫ f(τ)sin(t−τ)dτ =1
0