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Solving Legendre Equations with Frobenius

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#legendre-polynomials #frobenius-method
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Frobenius Method Equal Roots proof

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#ordinary-differential-equations #power-series #roots #frobenius-method
306
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Frobenius method produces recurrence relation that doesn't pass the smell test

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#ordinary-differential-equations #frobenius-method
52
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How to fix $yy’’=y’\implies y=\sum\limits_{k=0}^\infty a_k x^{k+r}, (k+r+1)a_{k+1}=\sum\limits_{n=0}^{k-r}(n+r+1)(n+r+2)a_{k-n-r}a_{n+2} $ if false?

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#solution-verification #recurrence-relations #inverse-function #nonlinear-analysis #frobenius-method
136
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could this ode be solved by power series?

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#ordinary-differential-equations #power-series #frobenius-method
83
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Frobenius method applied to $x^2y''+(x^2-x)y'+2y=0$

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#frobenius-method
53
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Trouble understanding big-O notation in proof

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#ordinary-differential-equations #asymptotics #power-series #frobenius-method
54
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Is there a version of Bessel functions for hyperbolic sectors?

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#ordinary-differential-equations #special-functions #hyperbolic-geometry #bessel-functions #frobenius-method
36
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What is the underlying reason(s) that Frobenius method solutions to a DE may be degenerate?

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#ordinary-differential-equations #frobenius-method
136
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Any suggestions on how to get started on solving this differential equation?

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#ordinary-differential-equations #partial-differential-equations #hypergeometric-function #frobenius-method
30
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Frobenius method in differentials equations

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#ordinary-differential-equations #change-of-variable #frobenius-method
54
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Frobenius Method, where does the log solution come from?

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#ordinary-differential-equations #frobenius-method
60
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Termination condition $(\alpha + x - \beta(1+x^2))g'(x)+(1+x^2)g''(x)+Eg(x)=0$

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#sequences-and-series #ordinary-differential-equations #power-series #frobenius-method
56
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Confusion about the Frobenius Method

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#ordinary-differential-equations #frobenius-method
34
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Frobenius solution with non-patterned recurrence relation

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#ordinary-differential-equations #power-series #frobenius-method

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