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Which of the following statements is/are ordinary differential equations ?

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The number of arbitrary constants is same as the degree of the differential equation.

A linear differential equation can contain products of the dependent variable and its derivatives

A particular integral cannot contain arbitrary constants.

By putting $v = \frac{y}{x}$ any homogeneous first order differential equation transforms to variable separable form.

answer is C.

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Detailed Solution

The number of arbitrary constants in the solution of a differential equation is same as its order.

So, statement (i) is is not true.

Statement (ii) is not true.

However, statement (iii) is Some homogeneous differential equations reduce to differential separable form by putting $v = \frac{y}{x} .$

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