1. The problem statement, all variables and given/known data Consider the initial value problem x" + x′ t+ 3x = t; x(0) = 1, x′(0) = 2 Convert this problem to a system of two first order equations and determine approximate values of the solution at t=0.5 and t=1.0 using the 4th Order Runge-Kutta Method with h=0.1. 2. Relevant equations yn+1 = yn + 1/6 ( k1 + 2k2 + 2k3 + k4) k1 = h* f(xn, yn) k2 = h* f(xn + 1/2 h, yn + 1/2 k1) k3 = h* f(xn + 1/2 h, yn + 1/2 k2) k4 = h* f(xn+1, yn+k3) 3. The attempt at a solution I tried to convert the equation into two linear ODEs: x = x1 x′= x1' = x2 x′′= x1'' = x2' x2' = -x2 t + t - 3x1 (first linear ODE) x1' = x2 (second linear ODE) I do not know what to do from here. From 4th Order RK equations, I do not know what f(xn, yn) is.