Question

The number of arbitrary constants in the general solution of a differential equation of order three is ______.

Answer 1

The number of arbitrary constants in the general solution of a differential equation of order three is 3.

Explanation:

Given that general solution of a differential equation has three arbitrary constants.

So we require three more equations to eliminate these three constants.

We can get three more equations by differentiating given equation three times.

So, the order of the differential equation is 3.