Solve the given initial value problem using LAPLACE TRANSFORMS. * The solutions with different methods won't be accepted. y" - 2y' + 2y = e-t y(0) = 0, y'(0) = 1 Note: Your solutions should be written in detail.(Partial fractions, Laplace transforms) TABLE 6.2.1 Elementary Laplace Transforms ear f(t) = L- {F(s)} eat sin(bt) eat cos(bt) F(s) = L {f(t)} 1 s-a b (sa) + b s-a (s-a) + b s > a s > a s > a