Question

A partial differential equation is one in which a dependent variable (say ‘x’) depends on an independent variable (say ’y’).

(a) False

(b) True

The question was posed to me in an interview.

The query is from First Order Non-Linear PDE in chapter Partial Differential Equations of Engineering Mathematics

Answer 1

Correct answer is (a) False

The best I can explain: An ordinary differential equation is divided into two types, ordinary and partial differential equations.

A partial differential equation is one in which a dependent variable depends on one or more independent variables.

Example: \(F(x,t,y,\frac{∂y}{∂x},\frac{∂y}{∂t},……)= 0. \)