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Let  be a differential equation. What is a solution?

Let  be a differential equation. What is a solution?

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Answer #1

Solution of a differential equation: Any relation between the dependent and independent variables, when substitute in the differential equation, reduces it to an identity is called a solution or integral of the differential equation.

It should be noted that a solution of a differental equation does not involeve the derivatives of the dependent variable with respect to the independent variable.

For example, is a solution of

Because by putting in differential equation it will end up with an identity.

Hence it is a solution of differential equation.

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