Question

If the Wronskian of two arbitrary functions is zero, are they linearly dependent only if they are not zero at some point?

score 161 · Answer 1 · 2026-02-23 08:33:59

161

Views

If the Wronskian of two arbitrary functions is zero, are they linearly dependent only if they are not zero at some point?

Published on 23 Feb 2026 - 8:33

score 90 · Answer 2 · 2023-05-30 10:28:57

90

Views

A Property of Wronskians

Published on 30 May 2023 - 10:28

score 52 · Answer 3 · 2023-06-09 11:38:50

52

Views

Exactly one homogeneous differential equation of second order to given fundamental solution

Published on 09 Jun 2023 - 11:38

score 105 · Answer 4 · 2023-06-14 19:09:47

105

Views

On a Riemann surface, $p$ is a Weierstrass point iff the Wronskian verifies $W(0) = 0$

Published on 14 Jun 2023 - 19:09

score 86 · Answer 5 · 2023-06-25 12:19:27

86

Views

Differential equation of the form: $y'' - \frac{1}{(1+x^2)^2} y=-\frac{Ax}{\sqrt{1+x^2}}$

Published on 25 Jun 2023 - 12:19

score 56 · Answer 6 · 2023-06-28 11:54:19

56

Views

Why the solution is wrong? $(x^2+x)\frac{d^2y}{ dx^2}+(2-x^2)\frac{ dy}{ dx}-(2+x)y=x(1+x)^2$

Published on 28 Jun 2023 - 11:54

score 26 · Answer 7 · 2023-07-18 19:53:56

26

Views

Wronskian - independent solutions

Published on 18 Jul 2023 - 19:53

score 93 · Answer 8 · 2023-07-28 13:19:36

93

Views

Formula for Derivative of Wronskian with Trace

Published on 28 Jul 2023 - 13:19

score 31 · Answer 9 · 2023-08-08 04:58:20

31

Views

Why A and B need not be differentiable...?

Published on 08 Aug 2023 - 4:58

score 68 · Answer 10 · 2023-09-23 18:28:28

68

Views

How can we use the initial condition $y(0)=0$, the solution is not even defined at $0$?

Published on 23 Sep 2023 - 18:28

score 15 · Answer 11 · 2023-11-12 17:56:30

15

Views

Prove each non-trivial solution, $u(x)$ of a normal, second-order linear ordinary differential equation, has only simple zeroes.

Published on 12 Nov 2023 - 17:56

score 72 · Answer 12 · 2023-11-19 06:10:35

72

Views

Is this set of functions linearly dependent or independent?

Published on 19 Nov 2023 - 6:10

score 75 · Answer 13 · 2023-12-11 03:28:27

75

Views

Derivative of a rational function on a curve with respect to a nonconstant function

Published on 11 Dec 2023 - 3:28

score 88 · Answer 14 · 2023-12-30 18:51:04

88

Views

Find general solution of Differential equation if you know three solutions. Is there exist general solution if Wronskian is zero?

Published on 30 Dec 2023 - 18:51

score 90 · Answer 15 · 2024-01-24 18:41:42

90

Views

Wronskian & Linear independence of functions

Published on 24 Jan 2024 - 18:41

List Question

If the Wronskian of two arbitrary functions is zero, are they linearly dependent only if they are not zero at some point?

A Property of Wronskians

Exactly one homogeneous differential equation of second order to given fundamental solution

On a Riemann surface, $p$ is a Weierstrass point iff the Wronskian verifies $W(0) = 0$

Differential equation of the form: $y'' - \frac{1}{(1+x^2)^2} y=-\frac{Ax}{\sqrt{1+x^2}}$

Why the solution is wrong? $(x^2+x)\frac{d^2y}{ dx^2}+(2-x^2)\frac{ dy}{ dx}-(2+x)y=x(1+x)^2$

Wronskian - independent solutions

Formula for Derivative of Wronskian with Trace

Why A and B need not be differentiable...?

How can we use the initial condition $y(0)=0$, the solution is not even defined at $0$?

Prove each non-trivial solution, $u(x)$ of a normal, second-order linear ordinary differential equation, has only simple zeroes.

Is this set of functions linearly dependent or independent?

Derivative of a rational function on a curve with respect to a nonconstant function

Find general solution of Differential equation if you know three solutions. Is there exist general solution if Wronskian is zero?

Wronskian & Linear independence of functions

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