The number of arbitrary constants in the particular solution of a differential equation of third order are:

In each of the question verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:

The number of arbitrary constants in the general solution of a differential equation of fourth order are:

In each of the question, form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.

In each of the question, form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.

y² = a(b² – x²)