USE THE FOLLOWING INFORMATION FOR QUESTIONS 1.30 TO 1.32 Consider the differential equation dy =-2y+t+4, y(0) =1. Make use of the dt fourth order Runge-Kutta method with h=0.2 to determine approximate...

Extracted text: USE THE FOLLOWING INFORMATION FOR QUESTIONS 1.30 TO 1.32 Consider the differential equation dy =-2y+t+4, y(0) =1. Make use of the dt fourth order Runge-Kutta method with h=0.2 to determine approximate solutions of y at t=0.2 1.30 The value of k3 where to = 0 of the above differental equation using the 4th order Runge-Kutta method with k, = 2, k2 = 1.7 and ka = 1.496 is: 1.31 The numerical solution (up to t = 0.2) of the above differental equation using the 4th order Runge-Kutta method is: 1.32 The exact solution of the given differential equation is y=-0.75e* + 0.5t +1.75 (NB Use 9 decimal places). The percentage error for the 4th order Runge-Kutta method at y(0.2) is: