Question

A partial differential equation is one in which a dependent variable (say ‘y’) depends on one or more independent variables (say ’x’, ’t’ etc.)

(a) False

(b) True

The question was asked by my college director while I was bunking the class.

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

Answer 1

The correct choice is (b) True

Best explanation: A 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: \(F(x,t,y,\frac{∂y}{∂x},\frac{∂y}{∂t},……)= 0 \)