Question 24 of 96beginner🧠 RememberMCQ1 mark

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

Exercise: EXERCISE 9.2 | Q: 12 | (Page 7)
For More Understanding

Explanation

A particular solution is defined as the solution free from arbitrary constants. It is obtained from the general solution by giving particular values to the arbitrary constants. Since the particular solution contains no arbitrary constants, the number of arbitrary constants is 0.

Solution Steps

  1. Step 1: Refer to the definition provided in the text: 'The solution free from arbitrary constants... is called a particular solution.'

  2. Step 2: Apply this definition to the question. Since a particular solution is free from arbitrary constants, the number of arbitrary constants is zero.

  3. Step 3: Match the result with the given options. Option (D) is 0.

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