Solve nedded

1. Solve the following initial value problem dy x - ty , = X- y(0) = 1 dx by the Euler Method and Heun's method to estimate y (0.1) using h = 0.05. Also estimate the percentage error of the numerical result with the exact answer given by the analytical solution as: y(x) = 3e -x - 2x-2. 2. An object with a mass, m = 10 kg is falling under the influence of earth gravity. The object starts from rest and experiences a retarding force equal to 0.25 of its velocity, V, i.e., in differential equation form, dy =x'ty, y(0) = 1 dx Find its velocity, v after time, t= 4 seconds using the classical 4th order R-K method with a step size, h = 2 seconds. Solve it analytically and determine the percentage error of your numerical estimate. [g = 9.81 m/s=]