Question

Can $y'' = e^y$ be converted into a linear ODE through successive variable substitutions?

score 93 · Answer 1 · 2026-03-25 04:38:24

93

Views

Can $y'' = e^y$ be converted into a linear ODE through successive variable substitutions?

Published on 25 Mar 2026 - 4:38

score 739 · Answer 2 · 2026-03-25 06:05:42

739

Views

Show that the origin of the following system is stable (non-linear vs linear stability)

Published on 25 Mar 2026 - 6:05

score 91 · Answer 3 · 2018-06-19 17:25:19

91

Views

A question on homotopy invariance of the topological degree

Published on 19 Jun 2018 - 17:25

score 33 · Answer 4 · 2018-06-22 15:11:25

33

Views

Uniqueness of values for a transcendental equation $(\sigma\beta)^2(-1+x/\beta+e^{-x/\beta })=y$

Published on 22 Jun 2018 - 15:11

score 447 · Answer 5 · 2018-07-04 02:43:24

447

Views

How to determine whether the vector valued function satisfy the Lipschitz condition?

Published on 04 Jul 2018 - 2:43

score 934 · Answer 6 · 2018-07-04 13:54:02

934

Views

Using Hartman-Grobman to determine stability of ODE

Published on 04 Jul 2018 - 13:54

score 182 · Answer 7 · 2018-07-06 11:17:55

182

Views

Does the fixed point corresponding to a Hopf bifurcation vary in the $(x, y)$ plane as the system parameter $\mu$ changes?

Published on 06 Jul 2018 - 11:17

score 623 · Answer 8 · 2018-07-08 09:13:57

623

Views

To find the approximate period and approximate equation of the limit cycle for a system with a Hopf bifurcation

Published on 08 Jul 2018 - 9:13

score 163 · Answer 9 · 2026-03-25 06:04:52

163

Views

To classify bifurcations by calculating partial derivatives evaluated at the bifurcation point

Published on 25 Mar 2026 - 6:04

score 461 · Answer 10 · 2026-03-22 03:30:34

461

Views

Example of nonexpansive mapping.

Published on 22 Mar 2026 - 3:30

score 206 · Answer 11 · 2026-03-25 06:06:26

206

Views

To show that $\dot{x} = -y - x +y^2 - x^2,\; \dot{y} = xy$ has no periodic orbits.

Published on 25 Mar 2026 - 6:06

score 210 · Answer 12 · 2018-07-18 10:58:31

210

Views

To show that a 2D nonlinear ODE undergoes a pitchfork bifurcation

Published on 18 Jul 2018 - 10:58

score 87 · Answer 13 · 2026-03-22 17:41:57

87

Views

On solution of a nonlinear differential inequality

Published on 22 Mar 2026 - 17:41

score 66 · Answer 14 · 2018-07-31 10:26:38

66

Views

mapping degree of $f: X \rightarrow Y$ with $\dim X \neq \dim Y$

Published on 31 Jul 2018 - 10:26

score 153 · Answer 15 · 2026-03-25 03:19:22

153

Views

Source of non-linear Laplace equation

Published on 25 Mar 2026 - 3:19

List Question

Can $y'' = e^y$ be converted into a linear ODE through successive variable substitutions?

Show that the origin of the following system is stable (non-linear vs linear stability)

A question on homotopy invariance of the topological degree

Uniqueness of values for a transcendental equation $(\sigma\beta)^2(-1+x/\beta+e^{-x/\beta })=y$

How to determine whether the vector valued function satisfy the Lipschitz condition?

Using Hartman-Grobman to determine stability of ODE

Does the fixed point corresponding to a Hopf bifurcation vary in the $(x, y)$ plane as the system parameter $\mu$ changes?

To find the approximate period and approximate equation of the limit cycle for a system with a Hopf bifurcation

To classify bifurcations by calculating partial derivatives evaluated at the bifurcation point

Example of nonexpansive mapping.

To show that $\dot{x} = -y - x +y^2 - x^2,\; \dot{y} = xy$ has no periodic orbits.

To show that a 2D nonlinear ODE undergoes a pitchfork bifurcation

On solution of a nonlinear differential inequality

mapping degree of $f: X \rightarrow Y$ with $\dim X \neq \dim Y$

Source of non-linear Laplace equation

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