Pregunta: Using the Laplace transform and the inverse Laplace transform, solve the following IVPs.i) y′′ − 10y′ + 9y = 5t; y(0) = −1 y′(0) = 2ii) 2y′′ + 3y′ − 2y = te−2t; y(0) = 0 y′(0) = −2iii) y′′ + 4y′ = cos(t − 3) + 4t; y(3) = 0 y′(3) = 7iv) y′′ + 3ty′ − 6y = 2; y(0) = 0 y′(0) = 0