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The number of arbitrary constants in the general solution of a differential equation of fourth order are ______.

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Question

The number of arbitrary constants in the general solution of a differential equation of fourth order are ______.

Options

  • 0

  • 2

  • 3

  • 4

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Solution

The number of arbitrary constants in the general solution of a differential equation of fourth order are 4.

Explanation: 

The generic solution of an nth order differential equation has n arbitrary constants.

So the fourth-order differential equation contains four constants.

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Chapter 9: Differential Equations - Exercise 9.2 [Page 385]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 9 Differential Equations
Exercise 9.2 | Q 11 | Page 385
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