मराठी

Verify that the given function (explicit or implicit) is a solution of the corresponding differential equation: y = x2 + 2x + C : y′ – 2x – 2 = 0

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प्रश्न

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

y = x2 + 2x + C  :  y′ – 2x – 2 = 0

बेरीज
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उत्तर

y = x2 + 2x + C

`dy/dx` = 2x + 2

⇒ `dy/dx` - 2x - 2 = 0

or y’ - 2x - 2 = 0

The given function is the solution of the given differential equation.

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

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