Question:
The number of arbitrary constants in the particular solution of a differential equation of third order are \(\underline{\hspace{2cm}}\)
The number of arbitrary constants in the particular solution of a differential equation of third order are \(\underline{\hspace{2cm}}\)
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The order of the differential equation determines the number of arbitrary constants in the general solution.
Updated On: Nov 29, 2025
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Solution and Explanation
Step 1: Understanding arbitrary constants.
For a differential equation of order \( n \), the number of arbitrary constants in its particular solution is \( n \).
Step 2: Conclusion.
Thus, for a third-order differential equation, the number of arbitrary constants is 3.
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