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The solution of an ODE contains arbitrary constants, the solution to a PDE contains arbitrary functions.

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The solution of an ODE contains arbitrary constants, the solution to a PDE contains arbitrary functions.

(a) True

(b) False

The question was asked in an online interview.

My question comes from Homogeneous Linear PDE with Constant Coefficient topic in portion Partial Differential Equations of Engineering Mathematics

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Correct option is (a) True

To explain I would say: A differential equation is an equation involving an unknown function y of one or more independent variables x, t, …… and its derivatives. These are divided into two types, ordinary or partial differential equations.

An ordinary differential equation is a differential equation in which a dependent variable (say ‘y’) is a function of only one independent variable (say ‘x’).

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

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