Find the values of X(t) for t up to 2, where X(t) is the solution of the

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Find the values of X(t) for t up to 2, where X(t) is the solution of the differential equation problem

dx dt + dx dt + d.x dt - xt = sint, d.x dx x(1) = 0.2 (1)= 1, (1) = 0 dt dt

using Euler’s method with step size h = 0.025. Repeat the computation with h = 0.0125. Hence estimate the accuracy of the value of X(2) given by your solution.

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