Engineering Mathematics

Question

Auxiliary equations for the differential equation of the type Pq+Qq-R is-.

Answer 1

Quasi-linear partial differential equation of order one is of the form Pp + Qq = R, where P, Q and R are functions of x, y, z.  The Lagrange auxiliary equation to solve this PDE is:

\(\frac{dx}{P}=\frac{dy}{Q}=\frac{du}{R}\)