Question

What is the nature of Lagrange’s linear partial differential equation?

(a) First-order, Third-degree

(b) Second-order, First-degree

(c) First-order, Second-degree

(d) First-order, First-degree

I have been asked this question at a job interview.

My question comes from First Order Linear PDE topic in chapter Partial Differential Equations of Engineering Mathematics

Answer 1

Right choice is (d) First-order, First-degree

To explain: Lagrange’s linear equation contains only the first-order partial derivatives which appear only with first power; hence the equation is of first-order and first-degree.