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The solution of 𝑑⁢𝑦𝑑⁢𝑥 = 1 is ______. - Mathematics and Statistics

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Question

The solution of `dy/ dx` = 1 is ______.

Options

  • x + y = c

  • xy = c

  • x2 + y2 = c

  • y − x = c

MCQ
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Solution

The solution of `dy/ dx` = 1 is y − x = c.

Explanation

`dy/ dx` = 1

∴ dy = dx

Integrating on both sides, we get

`int 1 dy = int 1 dx`

∴ y =  x + c

∴ y − x = c

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Chapter 8: Differential Equation and Applications - Miscellaneous Exercise 8 [Page 171]

APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 8 Differential Equation and Applications
Miscellaneous Exercise 8 | Q 1.05 | Page 171

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