Solving first order differential equation with power series – math.stackexchange.com

Solving first order differential equation with power series – math.stackexchange.com

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So, I was told solve the equation $y' - y = x^2$ using power series. Normal methods tell me that the solution is $y = c_{0}e^{x}-x^{2}-2x-2$, and this can be verified by plugging it back in. However, ...

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