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The Order of the Differential Equation Satisfying √ 1 − X 4 + √ 1 − Y 4 = a ( X 2 − Y 2 ) is - Mathematics

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प्रश्न

The order of the differential equation satisfying
\[\sqrt{1 - x^4} + \sqrt{1 - y^4} = a\left( x^2 - y^2 \right)\] is

विकल्प

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MCQ

उत्तर

1

 

The order of a differential equation depends on the number of arbitrary constants in it.

since \[\sqrt{1 - x^4} + \sqrt{1 - y^4} = a\left( x^2 - y^2 \right)\] contains only 1 constant, the order of the differential equation is 1.

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अध्याय 22: Differential Equations - MCQ [पृष्ठ १४०]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 22 Differential Equations
MCQ | Q 13 | पृष्ठ १४०

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