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

• (A) 3
• (B) 2
• (C) 1
• (D) 0

The number of arbitrary constants in the particular solution of a third-order differential equation is determined by the order of the equation itself. For a third-order differential equation, there are typically three arbitrary constants in the general solution.

Answer

Thus, the correct choice is:

• (A) 3

Explanation

In differential equations, the general solution includes constants that can be adjusted based on initial or boundary conditions. Since this is a third-order equation, it allows for three such constants, which are essential for fully defining the solution.