Question

Why is it that solutions $x_1 \text{ and } x_2 \text{ to a differential equation are linearly dependent } \iff W(x_1,x_2)(t_0)=0$

score 98 · Answer 1 · 2019-11-11 19:42:34

98

Views

Why is it that solutions $x_1 \text{ and } x_2 \text{ to a differential equation are linearly dependent } \iff W(x_1,x_2)(t_0)=0$

Published on 11 Nov 2019 - 19:42

score 34 · Answer 2 · 2019-11-11 20:50:24

34

Views

Determine whether the functions are linearly independent at the interval $I$. (In the context of differential equations)

Published on 11 Nov 2019 - 20:50

score 56 · Answer 3 · 2019-11-16 18:13:14

56

Views

Are the functions $\sin(x)$ ; $\sin^2(x)$ ; ... ; $(\sin(x))^{2017}$ linearly independent?

Published on 16 Nov 2019 - 18:13

score 1.2k · Answer 4 · 2019-12-07 18:36:42

any two solution of the equation $y''+p(x)y'+q(x)y=0$, $p(x)$ and $q(x)$ are continuous on $(a,b)$ and $x\in (a,b)$ are linearly dependent

score 235 · Answer 5 · 2019-12-08 02:32:05

235

Views

Find all $a, b, c$ values which $\sin(ax) , \sin(bx)$ and $\sin(cx)$ are linearly independent

Published on 08 Dec 2019 - 2:32

score 425 · Answer 6 · 2019-12-10 05:31:49

425

Views

Solve $y''-3y'-4y=3\mathit{e}^{2t}$ using variation of parameters formula.

Published on 10 Dec 2019 - 5:31

score 297 · Answer 7 · 2019-12-27 17:32:01

297

Views

Clarification regarding the Wronskian in differential equations

Published on 27 Dec 2019 - 17:32

score 264 · Answer 8 · 2020-01-03 03:41:33

264

Views

How to prove linear combination solves homogeneous equation

Published on 03 Jan 2020 - 3:41

score 176 · Answer 9 · 2020-01-05 21:29:11

176

Views

Linear independence when writing a function as a sum of functions.

Published on 05 Jan 2020 - 21:29

score 125 · Answer 10 · 2020-01-23 14:17:04

125

Views

Substituting $t_0$ in Wronskian to solve 2nd order non homogeneous ode?

Published on 23 Jan 2020 - 14:17

score 673 · Answer 11 · 2020-02-02 21:00:24

673

Views

If the differential equation $t^2 y'' - 2y' + (3 + t)y = 0$ has $y_1$ and $y_2$ as a fundamental set of solutions...

Published on 02 Feb 2020 - 21:00

score 1.6k · Answer 12 · 2020-02-03 19:22:37

1.6k

Views

Wronskian of $x|x|$ and $x^2$.

Published on 03 Feb 2020 - 19:22

score 86 · Answer 13 · 2020-02-07 04:21:41

86

Views

Is Wronskian infinitely times differentiable?

Published on 07 Feb 2020 - 4:21

score 62 · Answer 14 · 2020-02-14 00:00:15

62

Views

Linearly independent solutions of a differential?

Published on 14 Feb 2020 - 0:00

score 122 · Answer 15 · 2020-02-28 17:27:24

122

Views

Abel's Theorem Contradiction?

Published on 28 Feb 2020 - 17:27

List Question

Why is it that solutions $x_1 \text{ and } x_2 \text{ to a differential equation are linearly dependent } \iff W(x_1,x_2)(t_0)=0$

Determine whether the functions are linearly independent at the interval $I$. (In the context of differential equations)

Are the functions $\sin(x)$ ; $\sin^2(x)$ ; ... ; $(\sin(x))^{2017}$ linearly independent?

any two solution of the equation $y''+p(x)y'+q(x)y=0$, $p(x)$ and $q(x)$ are continuous on $(a,b)$ and $x\in (a,b)$ are linearly dependent

Find all $a, b, c$ values which $\sin(ax) , \sin(bx)$ and $\sin(cx)$ are linearly independent

Solve $y''-3y'-4y=3\mathit{e}^{2t}$ using variation of parameters formula.

Clarification regarding the Wronskian in differential equations

How to prove linear combination solves homogeneous equation

Linear independence when writing a function as a sum of functions.

Substituting $t_0$ in Wronskian to solve 2nd order non homogeneous ode?

If the differential equation $t^2 y'' - 2y' + (3 + t)y = 0$ has $y_1$ and $y_2$ as a fundamental set of solutions...

Wronskian of $x|x|$ and $x^2$.

Is Wronskian infinitely times differentiable?

Linearly independent solutions of a differential?

Abel's Theorem Contradiction?

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