Question

Given power series $y=\sum_{n}^\infty a_nx^n$ for the equation $(1-x)y''+xy'-y=0$. Find recurrence relation, and general formula for the $a_n's$

score 114 · Answer 1 · 2017-03-06 01:45:06

114

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Given power series $y=\sum_{n}^\infty a_nx^n$ for the equation $(1-x)y''+xy'-y=0$. Find recurrence relation, and general formula for the $a_n's$

Published on 06 Mar 2017 - 1:45

score 58 · Answer 2 · 2023-01-31 01:20:20

58

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140

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357

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score 57 · Answer 12 · 2023-03-11 22:28:15

57

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100

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score 80 · Answer 15 · 2023-03-25 03:55:58

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List Question

Given power series $y=\sum_{n}^\infty a_nx^n$ for the equation $(1-x)y''+xy'-y=0$. Find recurrence relation, and general formula for the $a_n's$

Looking for a formula to find the angle to a point that creates two perpendicular lines to two other points.

Finding a General Explicit Formula for $\lambda(n)$ for when $n\neq p^k$

How to remember differentiation formula for logarithmic functions

Ellipse Circumference General Formula with Integration

Wentzel–Kramers–Brillouin Connection Formula Derivation

What is the name of this equation and what do the variables mean?

Sum of $n$ degree derivatives taken w.r.t. different combinations of arguments

Area of a Lune general formula

What is the formula for cumulative compound interest?

What is the formula to generate a formula which can output any three chosen numbers as the first three terms of a sequence?

Is there a general form of a logical formula with N variables?

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Algebraic manipulation in summations involving the floor function

Derive a formula to successively decrement a given value by $x\%$ $n$ times

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