List questions from ordinary-differential-equations

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Monge Ampere Numerical Analysis

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Limit of function as $x \to\infty $ when $f'(x)$ is given

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If $x>0$ and $y>0$ find the general solution to the differential equation giving your answer in the form $ye^{\frac{y}{x}}=f(x)$

Published on 16 Apr 2026 - 9:58

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Variable transformation PDE

Published on 12 Apr 2026 - 2:38

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How do I solve the second ODE $\ddot{x} + 2\beta x + \alpha^2 x= F \cos[\omega(t)t + \phi]$

Published on 16 Apr 2026 - 20:18

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Integral operator equation and Sturm-Liouville problem

Published on 08 Apr 2026 - 17:05

50

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Question about Euler equation: $at^2\ddot x(t)+bt\dot x(t)+cx(t)=0$

Published on 15 Apr 2026 - 6:51

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Differential equation from an exam

Published on 16 Apr 2026 - 16:11

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Show that $\dot x=x^2-t^2$ has a solution on $(-1,1)\subset\mathbb R$

Published on 15 Apr 2026 - 13:03

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Is there a generalization of Galois theory for linear homogeneous differential equations?

Published on 10 Apr 2026 - 4:27

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Solutions of $u^{(4)}=f; u=u'$

Published on 05 Apr 2026 - 17:25

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Nonlinear, homogeneous Volterra Equation with Positive Kernel

Published on 09 Apr 2026 - 3:01

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What are the names for $\ 1)f'(x)=f^{-1}(x)\ $, $\ 2)g'(x)=g(-x)\ $, $\ 3)h(x)=h'(h(x))\ $

Published on 14 Apr 2026 - 17:49

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What is solution for Bessel Equation of form $x^2y'' + xy' + (t^2x^2-1)y = 0$?

Published on 15 Apr 2026 - 5:49

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Integral curves to a non-vanishing vector field on the unit square

Monge Ampere Numerical Analysis

Limit of function as $x \to\infty $ when $f'(x)$ is given

If $x>0$ and $y>0$ find the general solution to the differential equation giving your answer in the form $ye^{\frac{y}{x}}=f(x)$

Variable transformation PDE

How do I solve the second ODE $\ddot{x} + 2\beta x + \alpha^2 x= F \cos[\omega(t)t + \phi]$

Integral operator equation and Sturm-Liouville problem

Question about Euler equation: $at^2\ddot x(t)+bt\dot x(t)+cx(t)=0$

Differential equation from an exam

Show that $\dot x=x^2-t^2$ has a solution on $(-1,1)\subset\mathbb R$

Is there a generalization of Galois theory for linear homogeneous differential equations?

Solutions of $u^{(4)}=f; u=u'$

Nonlinear, homogeneous Volterra Equation with Positive Kernel

What are the names for $\ 1)f'(x)=f^{-1}(x)\ $, $\ 2)g'(x)=g(-x)\ $, $\ 3)h(x)=h'(h(x))\ $

What is solution for Bessel Equation of form $x^2y'' + xy' + (t^2x^2-1)y = 0$?

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