Question

Solutions of a system of PDEs can be obtained by equating the numerator of Cramer’s solution while using Cramer’s rule. This method is used by __________

(a) Integral transform

(b) Change of variables

(c) Separation of variables

(d) Method of characteristics

This question was addressed to me by my college professor while I was bunking the class.

This is a very interesting question from Classification of PDE in chapter Mathematical Behaviour of Partial Differential Equations of Computational Fluid Dynamics

Answer 1

Correct answer is (d) Method of characteristics

The best explanation: The Cramer’s numerator is equated to zero and compatibility equations are obtained. These are then solved to get the solution of PDEs.