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By using the method of separation of variables, the determination of solution to P.D.E. reduces to determination of solution to O.D.E.

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By using the method of separation of variables, the determination of solution to P.D.E. reduces to determination of solution to O.D.E.

(a) True

(b) False

The question was asked in an interview.

My question is based upon Method of Separation of Variables topic in portion Applications of Partial Differential Equations of Engineering Mathematics

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Correct choice is (a) True

Easy explanation: 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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