Question

Consider the following third-order IVP: Ty''(t) + y"(t) – (1 – 2y (t) 2)y'(t) + y(t) =0 y(0)=1, y'(0)=1, y''(0)=1, where T=-1. Use the midpoint method with a step size of h=0.1 to estimate the value of y(0.1) + 2y'(0.1) + 3y" (0.1), writing your answer to three decimal places.