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Power Series Method

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1. Use the power series method to solve the following initial value problem (other methods are not acceptable) xy" ? xy' + y ? = 0, y(0) = 1, y'(0) = 2. Your answer must be in closed from. That is, your answer must not have infinitely many terms. Remember that you MUST show all work.

2. Find the general solution of the differential equation (6) ? y = 0. You may use calculator or DERIVE to check some of your calculations. However, you MUST show every single step of your work.

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Solution Summary

The power series method is used to solve an IVP. The solution is detailed and well presented.

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