= = =

Euler method with (a) Lix = 0.25, (b) Lix = 0.125, and (c) Lix = 0.0625. Compare the errors and calculate the ratio of the errors at x = 0.5.

ji" + (I + x)ji' + (I + x)ji = eY ji(O) = 0 and y(l) = I (H) 26. Solve Problem 25 by the second-order modified Euler method. 27. Solve Problem 25 by the fourth-order Runge-Kutta method. 28. Solve the following ODE by the shooting method using the first-order explicit

Euler method with (a) Lix = 0.25, (b) Lix = 0.125, and (c) Lix = 0.0625. Compare the errors and calculate the ratio of the errors at x = 0.5.