#1734 · Algebra · Sequences & series

Series Expansion of Implicit Function

If $y^{2} + 2 y = x (y + 1)$ , shew that one value of $y$ expressed in ascending powers of $x$ is $\frac{1}{2} x + \frac{1}{8} x^{2} - \frac{1}{128} x^{4} + \dots$ .

~12 minProof · checked by AIUndetermined coefficientsPower series

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXII. Undetermined Coefficients, Examples XXII.b, No. 8

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