List questions from ordinary-differential-equations

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Prove that doesn't exist a Lyapunov function

Published on 29 Apr 2026 - 12:55

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Time-optimal control of a car

Published on 17 Apr 2026 - 10:38

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How to find $x(t)$ in:

Published on 10 Apr 2026 - 13:39

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Show that an operator is symmetric Sturm-Liuville operator

Published on 09 Apr 2026 - 1:15

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Transform the equation $(x+y)\frac{\partial u}{\partial x} - (x-y)\frac{\partial u}{\partial y} = 0$ with $s = \ln\sqrt{x^2+y^2}$, $t = \arctan(y/x)$

Published on 28 Apr 2026 - 17:52

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Green Function for $y''(t)-y(t)=f(t)$

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95

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

Published on 11 Apr 2026 - 1:37

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Differential Equations: Non autonomous

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Closed positively invariant subset is a subset of a basin in an autonomous ODE

Published on 22 Apr 2026 - 22:51

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Corrected trapezoidal method resources

Published on 29 Apr 2026 - 12:18

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Solve a second order differential equation $ax''(t) +bx'(t) + cx(t) = d$

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Differential equation for all circles in a plane.

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Solving a 2nd order ODE: $\frac{d^2}{dx^2}y(x)=\left(C+(1+x^2)^{-1}\right)y(x)$.

Published on 17 Apr 2026 - 0:46

165

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Solve $\dfrac{dy}{dx}=\cos(x+y)+\sin(x+y)$

Published on 17 Apr 2026 - 3:00

List Question

Determining the order and degree of a differential equation

Prove that doesn't exist a Lyapunov function

Time-optimal control of a car

How to find $x(t)$ in:

Show that an operator is symmetric Sturm-Liuville operator

Transform the equation $(x+y)\frac{\partial u}{\partial x} - (x-y)\frac{\partial u}{\partial y} = 0$ with $s = \ln\sqrt{x^2+y^2}$, $t = \arctan(y/x)$

Green Function for $y''(t)-y(t)=f(t)$

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

Differential Equations: Non autonomous

Closed positively invariant subset is a subset of a basin in an autonomous ODE

Corrected trapezoidal method resources

Solve a second order differential equation $ax''(t) +bx'(t) + cx(t) = d$

Differential equation for all circles in a plane.

Solving a 2nd order ODE: $\frac{d^2}{dx^2}y(x)=\left(C+(1+x^2)^{-1}\right)y(x)$.

Solve $\dfrac{dy}{dx}=\cos(x+y)+\sin(x+y)$

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