New posts in Ordinary Differential Equations

Existence of periodic solution in an ODE system

How to solve this differential equation via power series

Show that the solution of this (nonlinear) ODE cannot remain bounded as $t\to\infty$

How comes that integrating factor = $1/(x\,y)$

Asymptotic behaviour of quantity related to an ODE

Second order homogeneous differential equations: why do repeated roots modify the solution set?

How do I solve a first order differential equation of the following form

Why is it correct to assume $f = e^{\lambda x}$ in differential equation?

Without solving explicitly show that for the IVP $x'=x^{3}-x,x(0)=0.5$ the solution converges to $0$ for $t\rightarrow\infty$

Existence and uniqueness of homoclinic orbit