New posts in Ordinary Differential Equations

Second Course on ODEs - Self Study - Book Recommendation

Find the GS of the System of DE's $\begin{cases} x' = x-3y\\ y'=3x+7y \end{cases}$

If $\int {yy''dx} = 3xy$ is it possible to find y'?

How can I prove that $f'(x)=1+\left[f(x)\right]^2$ has no solution over $\mathbb{R}$ without solving the equation explicitly?

Given a self-map $h$ of a (closed?) manifold, is there a vector field $\xi$ with flow $\Phi_t$ such that $h = \Phi_1$?

ODE $f''''(x)+f(x) = \cos{x} - \left( \sin{x} \right)^2$ with boundary conditions $f(0)=f(\pi); \quad \quad f'(0)=f'(\pi)$

Prove that, if $y''+w(x)y=0,$ then $y$ has infinitely many zeroes

prove or disprove: if $y'=y^2-\cos(x)$ then any solution diverges in a finite time

Solve $ay''+by+c=0$ using separation of variables

Solving a coupled system of linear ODEs (one second order, the other first order)