Please provide Handwritten answer.

Only need part c) answer

The higher order differential equation and initial conditions are shown as follows: (-139 d?" 2 E = 2ta +y 1 9(0) = 1: y'all = _13 y\"(0) = 2 (a) J Transform the above initial value problem into an equivalent rst order differential system, including initial conditions. (b) Express the system and the initial condition in (a) in vector form. (c) Using the second order Runge Kutta method as follows a = a + 15,1305\" a} h _. _, - _, +1 t + E(Fth 'U'i} + F(t+11'u*)). to solve system in (b) with step size h, what is the vector form of the iteration formula? [You do not need to combine the above two equations into one equation)