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The number of arbitrary constants in the particular solution of a differential equation of third order are:
- a)2
- b)0
- c)3
- d)1
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The number of arbitrary constants in the particular solution of a diff...
0 , because the particular solution is free from arbitrary constants.
Most Upvoted Answer
The number of arbitrary constants in the particular solution of a diff...
Here it is given that the diferential equation is of order 3. But using the information in the tool box we get the number of arbitrary constants is 0.
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The number of arbitrary constants in the particular solution of a diff...
Explanation:
Arbitrary Constants in the Particular Solution of a Third Order Differential Equation
In general, the particular solution of a differential equation of order n contains n arbitrary constants. However, for a third-order differential equation, the particular solution does not contain any arbitrary constants.
Reasoning
When we solve a third-order differential equation, we typically obtain a general solution that includes three arbitrary constants. These constants are determined by the initial conditions of the problem.
However, once we impose those initial conditions and find the particular solution that satisfies them, the arbitrary constants are no longer present. The particular solution is a specific solution that uniquely satisfies the differential equation for the given initial conditions.
Conclusion
Therefore, the number of arbitrary constants in the particular solution of a third-order differential equation is 0. This is because the particular solution is a concrete solution that does not involve any arbitrary constants once the initial conditions are taken into account.
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The number of arbitrary constants in the particular solution of a differential equation of third order are:a)2b)0c)3d)1Correct answer is option 'B'. Can you explain this answer?
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The number of arbitrary constants in the particular solution of a differential equation of third order are:a)2b)0c)3d)1Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The number of arbitrary constants in the particular solution of a differential equation of third order are:a)2b)0c)3d)1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of arbitrary constants in the particular solution of a differential equation of third order are:a)2b)0c)3d)1Correct answer is option 'B'. Can you explain this answer?.
The number of arbitrary constants in the particular solution of a differential equation of third order are:a)2b)0c)3d)1Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The number of arbitrary constants in the particular solution of a differential equation of third order are:a)2b)0c)3d)1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of arbitrary constants in the particular solution of a differential equation of third order are:a)2b)0c)3d)1Correct answer is option 'B'. Can you explain this answer?.
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