Answer Happy

Solve the systems of differential equations using
Laplace transforms.
please do all of them or don’t do it.
please keep your handwriting neat.
= 1. X' = X – Y with ly' = 2x + 4y x(0)=-1 1 y(0)=0 = = = 2. x' = y + sint with ly' = x + 2 cost = x(0) = 2 y(0) = 0 = - = = 3. { =- S x" +y=1 x(0)=1 S x'(0)=1 with and 1 x + y" =-1 y(0)=1 y'(0)=-1 x" = y + uſt – 1) x'(0) =0 and ly" = x +1 – uſt - 1) 1 g(0) =0 1 y'(0)=0 = = 4. with $ x(0)=1 -