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How do I get the second solution to the Power Series Solution?

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#calculus #ordinary-differential-equations #power-series #solution-verification
53
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Representation of $\int \frac{\ln(1-x)}{x}dx$ as series of power x.

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#calculus #integration #power-series
71
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power series expansion for x+1?

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#sequences-and-series #power-series #taylor-expansion
26
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I can't find similar worked questions anywhere, can someone help me with this Power Series Method for Differential Equations Question?

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#power-series
339
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Find the first four non-zero terms of the power series

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#ordinary-differential-equations #power-series
275
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Reindexing power series

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#ordinary-differential-equations #power-series
1.7k
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Find the first four non-zero terms of the power series for $f(x) = \sin x \cos x$

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#ordinary-differential-equations #power-series #taylor-expansion
1.3k
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Find the power series solution for the equation $\frac{dy}{dx} = 2xy$

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#ordinary-differential-equations #derivatives #power-series #taylor-expansion
41
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How do I solve the implicit equation $G(z) = z \sum_{k=0}^\infty f_K(k) G(z)^k$ for $G$?

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#complex-analysis #power-series #implicit-function
335
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Using the power series method, find the general solution of $y^{''} − x^2 y^{'}−3xy=0$

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#ordinary-differential-equations #power-series #taylor-expansion
132
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Radius of convergence of a power series solution to a differential equation

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#calculus #sequences-and-series #power-series
85
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Discontinuous power series at radius 1

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#continuity #power-series
30
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Computing Laplace Tranform of $\operatorname{floor}x$

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#ordinary-differential-equations #power-series #laplace-transform
120
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Recurrence formula for power series

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#ordinary-differential-equations #power-series #taylor-expansion
98
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Sophomore's Dream and an almost integer

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#inequality #definite-integrals #power-series

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