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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Solve: ydx – xdy = 0 dy - Business Mathematics and Statistics

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Question

Solve: ydx – xdy = 0 dy

Sum

Solution

ydx – xdy = 0

ydx = xdy

`1/x  "d"x = 1/y  "d"y`

Integrating on both sides

`int 1/x  "d"x = int 1/y  "d"y`

log x = log y + log c

log x = log cy

⇒ x = cy

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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 3. (i) | Page 88
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