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Exercise 4.6:

Consider the IVP

Show that the solution, , satisfies the two integral relations:


Find in terms of , and . Use RKSUITE to approximate the solution to this problem and monitor the accuracy of your solution by seeing how well the integral relations are satisfied. Note that if the integral relations are satisfied, the numerical solution may or may not be accurate, but if they are not satisfied, the numerical solution must be inaccurate.