2. Consider the differential equation $y' = 2y$. (a) Solve this differential equation using any method that we've discussed in this course. (b) Substitute $y = \sum_{n=0}^{\infty} c_n x^n$ into the equation and find the power series solutions to this equation that matches the solution from part (a)
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Dividing both sides of the equation by y, we get: Show more…
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