Question: Write a computer program to solve the initialvalue problem using Eulers method. Use your program to find the value of X(0.4) using steps of h

Write a computer program to solve the initialvalue problem

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

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

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