Question

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

• A. \( 3 \)
• B. \( 1 \)
• C. \( 2 \)
• D. \( 0 \)

Hint:

General solution → contains constants; Particular solution → no constants.

Answer 1

The Correct Option is D

Concept:

• General solution contains arbitrary constants equal to the order of the differential equation.
• Particular solution has no arbitrary constants.

Step 1: Understand the definition.
A particular solution is obtained after assigning specific values to constants.
Step 2: \[ \Rightarrow \text{Number of arbitrary constants} = 0 \]