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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Solve: ddaedydx=aey - Business Mathematics and Statistics

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Question

Solve: `("d"y)/("d"x) = "ae"^y`

Sum

Solution

`("d"y)/("d"x) = "ae"^y`

`("d"y)/"e"^y` = adx

⇒ e–y dy = adx

Integrating on both sides

` int "e"^y  "d"y = int "ad"x`

`"e"^y/((-1))` = ax + c

– ey = ax + c

⇒ ey + ax + c = 0

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Solution of First Order and First Degree Differential Equations
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Chapter 4: Differential Equations - Exercise 4.2 [Page 88]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 4 Differential Equations
Exercise 4.2 | Q 1. (i) | Page 88
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