For each of the problems in Question 78 solve the differential equation numerically and check that the solutions you obtain are similar to your sketch solutions.

Data from Question 78

Write a computer program to solve the initialvalue problem

using Euler’s method. Use your program to find the value of X(0.4) using steps of h = 0.01 and h = 0.005. Hence estimate the accuracy of your value of X(0.4) and estimate the step size that would be necessary to obtain a value of X(0.4) accurate to 4dp.

dx dt d.x + x- dt x(0) = 0, + x = sint, d.x -(0) = 1 dt