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

Linear and quasilinear first order PDE ... for three classical equations of mathematical physics (in all spatial dimensions): the wave equation, the heat/diffusion equation, the Laplace/Poisson ...

This concept revolves around the analysis of Puiseux series as solutions to first-order ordinary differential equations. Researchers have established necessary and sufficient conditions for this ...