Question

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

score 95 · Answer 1 · 2026-04-11 01:37:58

95

Views

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

Published on 11 Apr 2026 - 1:37

score 741 · Answer 2 · 2026-04-16 00:10:57

741

Views

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

Published on 16 Apr 2026 - 0:10

score 94 · Answer 3 · 2026-04-11 14:38:56

94

Views

A question on homotopy invariance of the topological degree

Published on 11 Apr 2026 - 14:38

score 35 · Answer 4 · 2026-04-16 07:39:48

35

Views

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

Published on 16 Apr 2026 - 7:39

score 450 · Answer 5 · 2026-04-14 15:57:59

450

Views

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

Published on 14 Apr 2026 - 15:57

score 937 · Answer 6 · 2026-04-13 13:22:21

937

Views

Using Hartman-Grobman to determine stability of ODE

Published on 13 Apr 2026 - 13:22

score 187 · Answer 7 · 2026-04-29 12:27:56

187

Views

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

Published on 29 Apr 2026 - 12:27

score 626 · Answer 8 · 2026-04-15 23:28:00

626

Views

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

Published on 15 Apr 2026 - 23:28

score 165 · Answer 9 · 2026-04-15 11:46:01

165

Views

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

Published on 15 Apr 2026 - 11:46

score 465 · Answer 10 · 2026-04-15 12:59:13

465

Views

Example of nonexpansive mapping.

Published on 15 Apr 2026 - 12:59

score 207 · Answer 11 · 2026-04-16 04:41:02

207

Views

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

Published on 16 Apr 2026 - 4:41

score 213 · Answer 12 · 2026-04-16 14:33:10

213

Views

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

Published on 16 Apr 2026 - 14:33

score 90 · Answer 13 · 2026-04-14 10:31:57

90

Views

On solution of a nonlinear differential inequality

Published on 14 Apr 2026 - 10:31

score 69 · Answer 14 · 2026-04-14 01:46:57

69

Views

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

Published on 14 Apr 2026 - 1:46

score 156 · Answer 15 · 2026-04-16 09:50:47

156

Views

Source of non-linear Laplace equation

Published on 16 Apr 2026 - 9:50

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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