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Differentiate w.r.t ( y ) and set equal to ( N ): [ \frac\partial F\partial y = x^2 + h'(y) = x^2 - \cos y \implies h'(y) = -\cos y ] [ h(y) = -\sin y + C ]
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A power series solution is a series solution that is expressed as a power series in x. The power series solution is assumed to be of the form: