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Please help, thank you! 3. Find a power series solution to the differential equation (1 + x3) dy - y = 0, subject to the

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Please help, thank you!

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3. Find a power series solution to the differential equation (1 + x3) dy - y = 0, subject to the initial condition y(0) = 2. In your answer, explicitly write out the first five non-zero terms. 4. Is it possible to solve the differential equation in problem 3 by separation of variables? What makes this method difficult? Extra Credit: Use a power series representation of 1 1 + x3 to find a solution to the differential equation for -1

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