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Verify that the given function (explicit or implicit) is a solution of the corresponding differential equation: y = cos x + C : y′ + sin x = 0

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प्रश्न

Verify that the given function (explicit or implicit) is a solution of the corresponding differential equation:

y = cos x + C : y′ + sin x = 0

योग
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उत्तर

y = cos x + C

`dy/dx` = - sin x

⇒ y’ + sin x = 0

As a result, the function y = cos x + C provides a solution to the above differential equation.

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अध्याय 9: Differential Equations - Exercise 9.2 [पृष्ठ ३८५]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 9 Differential Equations
Exercise 9.2 | Q 3 | पृष्ठ ३८५

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