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Find at least 4 non zero terms of the power series (around 0) for the solution...

Find at least 4 non zero terms of the power series (around 0) for the solution to the initial value problem

y"+ (4 + x)y' − 2y = sin(4x), y(0) = −1, y' (0) = 2.

Over what interval is the solution analytic and why? What is the radius of convergence of the series solution around 0?

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