Question

Wronskian and Linear Independence

score 72 · Answer 1 · 2026-02-23 20:53:58

72

Views

Wronskian and Linear Independence

Published on 23 Feb 2026 - 20:53

score 617 · Answer 2 · 2026-02-23 20:59:27

617

Views

$y_1(t) = t^2$ and $y_2(t) = t|t|$ linearly independent on [-1,1]

Published on 23 Feb 2026 - 20:59

score 954 · Answer 3 · 2026-02-23 20:59:33

954

Views

If $y_1$ and $y_2$ fundamental set of solutions, then no common point of inflection, unless $p(t)$ and $q(t)$ vanish simultaneous there

Published on 23 Feb 2026 - 20:59

score 1.2k · Answer 4 · 2026-02-23 20:59:27

1.2k

Views

For fundamental solutions $y_1,y_2$, there exist one and only one zero of $y_1$ between consecutive zeros of $y_2$.

Published on 23 Feb 2026 - 20:59

score 71 · Answer 5 · 2026-02-23 20:59:33

71

Views

Showing that $y_2$ is a constant multiple of $y_1$ if Wronskian $W[y_1,y_2](t^)=0$ and $y_1(t^)=0$.

Published on 23 Feb 2026 - 20:59

score 90 · Answer 6 · 2026-04-08 19:49:27

90

Views

How does PatrickJMT do variation of parameters without the Wronskian?

Published on 08 Apr 2026 - 19:49

score 1k · Answer 7 · 2026-04-10 01:40:50

1k

Views

Finding one solution of second order DE using another solution using Wronskian

Published on 10 Apr 2026 - 1:40

score 172 · Answer 8 · 2026-02-23 20:55:16

172

Views

Why is $1,x,x^2,x^3,\cdots$ a bad basis?

Published on 23 Feb 2026 - 20:55

score 321 · Answer 9 · 2026-02-23 20:55:16

321

Views

using Liouville-Ostrogradsky to solve differential equation

Published on 23 Feb 2026 - 20:55

score 67 · Answer 10 · 2026-02-23 20:52:12

67

Views

How did $e^x$ get equal to $e^{2x}$?

Published on 23 Feb 2026 - 20:52

score 64 · Answer 11 · 2026-04-09 11:02:07

64

Views

Fundamental system to a differential equation with constant Wronskian

Published on 09 Apr 2026 - 11:02

score 62 · Answer 12 · 2026-04-11 17:08:14

62

Views

Solving this Differential equation.

Published on 11 Apr 2026 - 17:08

score 242 · Answer 13 · 2026-04-09 04:50:31

242

Views

Stability of Solutions to Linear ODE

Published on 09 Apr 2026 - 4:50

score 333 · Answer 14 · 2026-04-10 22:25:15

333

Views

Variation of Parameters to solve

Published on 10 Apr 2026 - 22:25

score 33 · Answer 15 · 2026-02-23 21:00:17

33

Views

Find two LI continuous differentiable functions $f,g: I \in \mathbb{R} \rightarrow \mathbb{R}$ such that $(f\cdot g')(t) - (f'\cdot g)(t)) = 0$.

Published on 23 Feb 2026 - 21:00

List Question

Wronskian and Linear Independence

$y_1(t) = t^2$ and $y_2(t) = t|t|$ linearly independent on [-1,1]

If $y_1$ and $y_2$ fundamental set of solutions, then no common point of inflection, unless $p(t)$ and $q(t)$ vanish simultaneous there

For fundamental solutions $y_1,y_2$, there exist one and only one zero of $y_1$ between consecutive zeros of $y_2$.

Showing that $y_2$ is a constant multiple of $y_1$ if Wronskian $W[y_1,y_2](t^)=0$ and $y_1(t^)=0$.

How does PatrickJMT do variation of parameters without the Wronskian?

Finding one solution of second order DE using another solution using Wronskian

Why is $1,x,x^2,x^3,\cdots$ a bad basis?

using Liouville-Ostrogradsky to solve differential equation

How did $e^x$ get equal to $e^{2x}$?

Fundamental system to a differential equation with constant Wronskian

Solving this Differential equation.

Stability of Solutions to Linear ODE

Variation of Parameters to solve

Find two LI continuous differentiable functions $f,g: I \in \mathbb{R} \rightarrow \mathbb{R}$ such that $(f\cdot g')(t) - (f'\cdot g)(t)) = 0$.

Trending Questions

Popular # Hahtags

Popular Questions