Question

Finite family of analytic functions linearly dependent if and only if Wronskian is $~0~$

score 466 · Answer 1 · 2013-02-26 00:30:41

466

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Finite family of analytic functions linearly dependent if and only if Wronskian is $~0~$

Published on 26 Feb 2013 - 0:30

score 60 · Answer 2 · 2020-08-05 03:25:13

60

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Wronskian of two linearly independent differential functions. Show $c$ in [a,b] such that $g(c) = 0$ exists

Published on 05 Aug 2020 - 3:25

score 318 · Answer 3 · 2020-08-28 06:39:36

318

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Wronskian, Linear Dependence and Construction of ODE

Published on 28 Aug 2020 - 6:39

score 48 · Answer 4 · 2020-08-29 09:41:53

48

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Find $W(y_1 , y_2)$ where $y_1$ and $y_2$ are fundamental solutions of $x^2 y'' - 2 x^3 y' + \frac{1}{x^2} y = 0$

Published on 29 Aug 2020 - 9:41

score 58 · Answer 5 · 2020-08-30 22:52:27

58

Views

for $y''+p(x)y'+q(x)=0$, $-\frac{W'(u',v')(x)}{W(u,v)(x)}=p(x)$ and $q(x)=\frac{W(u',v')(x)}{W(u,v)(x)}$

Published on 30 Aug 2020 - 22:52

score 193 · Answer 6 · 2020-09-01 14:35:04

193

Views

Find the minimum value of n such that the given limit is 0.

Published on 01 Sep 2020 - 14:35

score 156 · Answer 7 · 2020-09-01 15:21:17

156

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Linear Independence via Induction

Published on 01 Sep 2020 - 15:21

score 46 · Answer 8 · 2020-09-10 21:29:07

46

Views

Each different solution of $y''+{\sin xy'+e^{-x}y=0}$ has different min and max points

Published on 10 Sep 2020 - 21:29

score 94 · Answer 9 · 2020-09-25 14:07:59

94

Views

How is Wronskian used for linear system of equations?

Published on 25 Sep 2020 - 14:07

score 692 · Answer 10 · 2020-10-06 02:11:38

692

Views

Wronskian of functions $\sin(nx), n=1,2,...,k$.

Published on 06 Oct 2020 - 2:11

score 951 · Answer 11 · 2020-10-06 14:52:26

951

Views

Find the Wronskian of the second-order homogeneous differential equation

Published on 06 Oct 2020 - 14:52

score 550 · Answer 12 · 2020-10-07 17:38:12

550

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About a chain rule for Wronskians

Published on 07 Oct 2020 - 17:38

score 42 · Answer 13 · 2020-10-08 04:29:16

42

Views

To prove linear independence of given functions

Published on 08 Oct 2020 - 4:29

score 44 · Answer 14 · 2020-10-14 15:04:43

44

Views

Proving linear independence of $e^{a_it}, i=1,...,n$

Published on 14 Oct 2020 - 15:04

score 87 · Answer 15 · 2020-10-18 13:29:03

87

Views

Linear independence of 2nd order ODE solutions

Published on 18 Oct 2020 - 13:29

List Question

Finite family of analytic functions linearly dependent if and only if Wronskian is $~0~$

Wronskian of two linearly independent differential functions. Show $c$ in [a,b] such that $g(c) = 0$ exists

Wronskian, Linear Dependence and Construction of ODE

Find $W(y_1 , y_2)$ where $y_1$ and $y_2$ are fundamental solutions of $x^2 y'' - 2 x^3 y' + \frac{1}{x^2} y = 0$

for $y''+p(x)y'+q(x)=0$, $-\frac{W'(u',v')(x)}{W(u,v)(x)}=p(x)$ and $q(x)=\frac{W(u',v')(x)}{W(u,v)(x)}$

Find the minimum value of n such that the given limit is 0.

Linear Independence via Induction

Each different solution of $y''+{\sin xy'+e^{-x}y=0}$ has different min and max points

How is Wronskian used for linear system of equations?

Wronskian of functions $\sin(nx), n=1,2,...,k$.

Find the Wronskian of the second-order homogeneous differential equation

About a chain rule for Wronskians

To prove linear independence of given functions

Proving linear independence of $e^{a_it}, i=1,...,n$

Linear independence of 2nd order ODE solutions

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