consider the following first-order ODE: dy/dt = y+t³ from t=0 to t=1.5 with y(0) = 1. a). Solve with euler's explicit method using h=0.05. b). Solve with the midpoint method using h=0.05. c). Solve...

consider the following first-order ODE: dy/dt = y+t³ from t=0 to t=1.5 with y(0) = 1. a). Solve with euler's explicit method using h=0.05. b). Solve with the midpoint method using h=0.05. c). Solve with the classical fourth-order runge-kutta method using h=0.05. The analytical solution of the ODE is y= 7e^t - t³ - 6t-6. In each part, calculate the error between the true solution and the numerical solution at the points where the numerical solution is determined. Kindly answer a,b, and c. Thank you