Question

When using the variable separable method to solve a partial differential equation, then the function can be written as the product of functions depending only on one variable. For example, U(x,t) = X(x)T(t).

(a) True

(b) False

I have been asked this question by my college professor while I was bunking the class.

The origin of the question is Solution of 1D Heat Equation topic in portion Applications of Partial Differential Equations of Engineering Mathematics

Answer 1

Correct answer is (a) True

For explanation I would say: When solving a partial differential equation using a variable separable method, then the function can be written as the product of functions depending on one variable only.