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Characteristics in the Eikonal equation

Using 'Componendo and dividendo' to integrate Monge's equations

5.3 Shockwaves in traffic flow

5.2 Quasilinear PDE: Checking the general solution and applying Cauchy data

5.1 Lagrange's method applied to a 'trivial' PDE

4.2 First-order linear PDE: change of variables

4.1 Truncated first-order PDE

1.1 Second-order linear ODE with constant coefficients