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NCERT · Class 12 · Maths

Chapter 9: Differential Equations

Practice each question, then open the answer or worked solution.

Exercise 9.2

12 questions
Q11Multiple choice

Find the numbers of arbitrary constants in the general solution of a differential equation of fourth order.

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Worked solution

Ans: The number of arbitrary constants in the general solution of a differential equation is equal to its order. As the given differential equation is of fourth order, thus it has four arbitrary constants in its solution.

The correct answer is (D).


Q12Multiple choice

Find the numbers of arbitrary constants in the particular solution of a differential equation of third order.

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Worked solution

Ans: The particular solution of any differential equation does not have any arbitrary constants. Thus it has zero constants in its solution.

The correct answer is (D).