Question

$-y''+(1+x)y= \lambda y$ for which value of $\lambda$ the eqn has nonzero solution

score 176 · Answer 1 · 2026-03-25 22:09:32

176

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$-y''+(1+x)y= \lambda y$ for which value of $\lambda$ the eqn has nonzero solution

Published on 25 Mar 2026 - 22:09

score 416 · Answer 2 · 2018-08-22 16:44:48

416

Views

Recursive formula to compute coefficients of $n^\text{th}$ power of power series

Published on 22 Aug 2018 - 16:44

score 255 · Answer 3 · 2018-08-22 17:23:36

255

Views

Taylor (McLaurin) polynomial vs Taylor (McLaurin) series vs Power series

Published on 22 Aug 2018 - 17:23

score 695 · Answer 4 · 2026-03-25 01:39:35

695

Views

How does this nursery rhyme pertain to power series: “There was a little girl Who had a little curl Right in the middle of her forehead..."

Published on 25 Mar 2026 - 1:39

score 948 · Answer 5 · 2018-08-23 17:29:00

948

Views

Prove $\sum_{i=0}^n (-1)^{n-i} \binom{n+1}{i} (i+1)^n = (n+2)^n$

Published on 23 Aug 2018 - 17:29

score 5.1k · Answer 6 · 2026-02-23 06:38:02

5.1k

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Summation problem: $f(x)=1+\sum_{n=1}^{\infty}\frac{x^n}{n}$

Published on 23 Feb 2026 - 6:38

score 425 · Answer 7 · 2018-08-24 02:40:58

425

Views

Radius of convergence $\sum_{k=1}^{\infty} {{k^33^{-k!}}(x-3)^{k!}}$

Published on 24 Aug 2018 - 2:40

score 112 · Answer 8 · 2018-08-26 19:27:47

112

Views

On the sum of Double Power Series $\sum\limits_{-\infty}^{+\infty}\space\frac{2^n}{{x}^{2^n}+1}$

Published on 26 Aug 2018 - 19:27

score 612 · Answer 9 · 2026-03-25 12:28:15

612

Views

Prove if $k^\text{th}$ derivative of an entire function $f$ is polynomial, then $f$ itself is polynomial. Where's my mistake?

Published on 25 Mar 2026 - 12:28

score 36 · Answer 10 · 2026-03-25 10:52:43

36

Views

Equality regarding power series and an integral

Published on 25 Mar 2026 - 10:52

score 118 · Answer 11 · 2026-03-25 13:58:49

118

Views

What is the solution of normalized harmonic series based on $4/3$ between one and two?

Published on 25 Mar 2026 - 13:58

score 852 · Answer 12 · 2026-03-26 06:01:39

852

Views

Show that the field of fractions of $\mathbb{Z}[[x]]$ is properly contained in $\Bbb Q((x))$

Published on 26 Mar 2026 - 6:01

score 220 · Answer 13 · 2018-08-30 22:23:59

220

Views

Coefficient of $x^{27}$ in $(1-x^{10})^6/(1-x)^6$.

Published on 30 Aug 2018 - 22:23

score 213 · Answer 14 · 2018-08-31 10:00:56

213

Views

Construct Two Linearly Independent Power Series Solutions to $(1+z^2)u''+3zu'+u=0$

Published on 31 Aug 2018 - 10:00

score 59 · Answer 15 · 2018-09-01 17:44:57

59

Views

How can I find the radius of convergence, where $a_n$ equal to number of divisors of $n^{50}$

Published on 01 Sep 2018 - 17:44

List Question

$-y''+(1+x)y= \lambda y$ for which value of $\lambda$ the eqn has nonzero solution

Recursive formula to compute coefficients of $n^\text{th}$ power of power series

Taylor (McLaurin) polynomial vs Taylor (McLaurin) series vs Power series

How does this nursery rhyme pertain to power series: “There was a little girl Who had a little curl Right in the middle of her forehead..."

Prove $\sum_{i=0}^n (-1)^{n-i} \binom{n+1}{i} (i+1)^n = (n+2)^n$

Summation problem: $f(x)=1+\sum_{n=1}^{\infty}\frac{x^n}{n}$

Radius of convergence $\sum_{k=1}^{\infty} {{k^33^{-k!}}(x-3)^{k!}}$

On the sum of Double Power Series $\sum\limits_{-\infty}^{+\infty}\space\frac{2^n}{{x}^{2^n}+1}$

Prove if $k^\text{th}$ derivative of an entire function $f$ is polynomial, then $f$ itself is polynomial. Where's my mistake?

Equality regarding power series and an integral

What is the solution of normalized harmonic series based on $4/3$ between one and two?

Show that the field of fractions of $\mathbb{Z}[[x]]$ is properly contained in $\Bbb Q((x))$

Coefficient of $x^{27}$ in $(1-x^{10})^6/(1-x)^6$.

Construct Two Linearly Independent Power Series Solutions to $(1+z^2)u''+3zu'+u=0$

How can I find the radius of convergence, where $a_n$ equal to number of divisors of $n^{50}$

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