Problem S. Consider following initial Value DOODLEIT! ! at _ EXPI - 21 1 - 21* * 10) = 1/10 WHERE the Exact solution is * ['t ) = 0. 1 EFFI - 2{} + TEEPI - 21 ) . Write a MAILAB code to numerically Solve the initial value problem Over the interval [ O, Z] using Euler's method with a fixed sample period, At = 0. 2. Calculate the Error curve for the following Sample periods At = 0. 2, 0. 1 and 0.05. b ) Repeat part aj using HELI's Method and the RungE - Kutta method