हिंदी

The degree of the differential equation dd1+(dydx)2 = x is ______.

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प्रश्न

The degree of the differential equation `sqrt(1 + (("d"y)/("d"x))^2)` = x is ______.

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उत्तर

The degree of the differential equation `sqrt(1 + (("d"y)/("d"x))^2)` = x is 2.

Explanation:

The given differential equation is `sqrt(1 + (("d"y)/("d"x))^2)` = x

Squaring both sides, we get

`1 + (("d"y)/("d"x))^2 = x^2`

So, the degree of the equation is 2.

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अध्याय 9: Differential Equations - Exercise [पृष्ठ २०१]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 12
अध्याय 9 Differential Equations
Exercise | Q 76.(ii) | पृष्ठ २०१

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