M- 07. Consider the following first-order ODE: dy_y dt - 0.5t? from t = 2 to t = 5 with y(2) = 4 (a) Solve with Euler's explicit method using h = 1 (b) Solve with the modified Euler method using h =1 (c) Solve with the classical third-order Runge-Kutta method using h = 1. The analytical solution of the ODE is y = -+ 3t In each part, calculate the error between the true solution and the numerical solution at the points where the numerical solution is determined.

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.