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Which of the following equations cannot be solved by using the method of separation of variables?

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Which of the following equations cannot be solved by using the method of separation of variables?

(a) Laplace Equation

(b) Helmholtz Equation

(c) Alpha Equation

(d) Biharmonic Equation

I have been asked this question in a national level competition.

The query is from Method of Separation of Variables topic in division Applications of Partial Differential Equations of Engineering Mathematics

1 Answer

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Best answer
The correct choice is (c) Alpha Equation

Easiest explanation: The method of separation of variables is used to solve a wide range of linear partial differential equations with boundary and initial conditions, such as:

Heat equation

 Wave equation

 Laplace equation

 Helmholtz equation

 Biharmonic equation

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