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Which of the following is not a standard method for finding the solutions for differential equations?

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Which of the following is not a standard method for finding the solutions for differential equations?

(a) Variable Separable

(b) Homogenous Equation

(c) Orthogonal Method

(d) Bernoulli’s Equation

This question was addressed to me in an international level competition.

I would like to ask this question from First Order Non-Linear PDE in portion Partial Differential Equations of Engineering Mathematics

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Best answer
Right choice is (c) Orthogonal Method

To elaborate: The following are the different standard methods used in finding the solution of a differential equation:

Variable Separable

 Homogenous Equation

 Non-homogenous Equation reducible to Homogenous Equation

 Exact Differential Equation

 Non-exact Differential Equation that can be made exact with the help of integrating factors

 Linear First Order Equation

 Bernoulli’s Equation

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