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The number of arbitrary constants in the general solution of a differential equation of order three is ______. - Mathematics

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प्रश्न

The number of arbitrary constants in the general solution of a differential equation of order three is ______.

रिक्त स्थान भरें
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उत्तर

The number of arbitrary constants in the general solution of a differential equation of order three is 3.

Explanation:

Given that general solution of a differential equation has three arbitrary constants.

So we require three more equations to eliminate these three constants.

We can get three more equations by differentiating given equation three times.

So, the order of the differential equation is 3.

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अध्याय 9: Differential Equations - Exercise [पृष्ठ २०२]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 9 Differential Equations
Exercise | Q 76.(iii) | पृष्ठ २०२

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