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What is Classification of PDEs and Cauchy Problems about?
This document contains the solutions to various problems involving partial differential equations (PDEs). It classifies several example PDEs as linear, semilinear, quasilinear or fully nonlinear. It also finds the first order PDE whose solution is a given function or surface. For example, the PDE whose solution is a sphere is yux - xuy = 0. Additionally, it solves first order Cauchy problems for various PDEs by finding characteristic curves. One example solution is u(x,t) = cos(x - at)/(1 - tcos(x - at)).
- Author
- Anshu Kumar Gupta
- Language
- EN