and V, (0) Consider the differential equation: (a) 6. 2 tterential equation: ty" -2y+ty o where y(0) 1 (3 points) Determine the Laplace transformation of this differential equation. (b) (8 points) Solve the resulting differential equation (from 6(a)) for F(s). (c) (8 points) Complete, find the solution to the differential equation by finding f(t) = f-1(F(s)) Hint: s3 = s(s2 + a)-as