Introduction to differential equations. Topics include methods of solutions for linear and non-linear first order differential equations, linear second order differential equations, higher order ...

In this paper we will prove the coexistence of unbounded solutions and periodic solutions for the asymmetric oscillator $\ddot{x}+f(\dot{x})+ax^{+}-bx^{-}=\varphi (t,x)$, where a and b are positive ...

We consider the second order linear differential equation $y = \left[ {\frac{{{ \wedge ^2}}}{{{t^\alpha }}}+ g\left( t \right)} \right]y,$ where Λ is a large complex ...

Hi all, this is my first post so please bear with me – any advice/support would be warmly welcomed. I have been doing some work on a simple RLC electronic circuit whose transfer function follows the ...

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

Partial differential equations can describe everything from planetary motion to plate tectonics, but they’re notoriously hard to solve. Unless you’re a physicist or an engineer, there really isn’t ...