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The order of the differential equation of all circles of given radius a is ______. - Mathematics

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प्रश्न

The order of the differential equation of all circles of given radius a is ______.

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उत्तर

The order of the differential equation of all circles of given radius a is 2.

Explanation:

Let the equation of given family be (x – h)2 + (y – k)2 = a2.

It has two orbitrary constants h and k.

Threrefore, the order of the given differential equation will be 2.

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अध्याय 9: Differential Equations - Solved Examples [पृष्ठ १८७]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 9 Differential Equations
Solved Examples | Q 15 | पृष्ठ १८७

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