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Chapter 9 Differential Equations Ex 9.2 Solutions

Question - 11 : -

The numbers of arbitrary constants in the general solutionof a differential equation of fourth order are:

(A) 0 (B) 2 (C) 3 (D) 4

Answer - 11 : -

We know that the number of constants in thegeneral solution of a differential equation of order n is equal to its order.

Therefore,the number of constants in the general equation of fourth order differentialequation is four.

Hence, the correct answer is D.

Question - 12 : -

The numbers of arbitrary constants in the particularsolution of a differential equation of third order are:

(A) 3 (B) 2 (C) 1 (D) 0

Answer - 12 : -

In a particular solution of a differential equation, thereare no arbitrary constants.

Hence, the correct answer is D.

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