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Solve the following differential equation. xdx + 2y dx = 0

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Question

Solve the following differential equation.

xdx + 2y dx = 0

Sum
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Solution

xdx + 2y dy = 0

Integrating on both sides, we get

`int x  dx +2 int y  dy = 0`

∴ `x^2/2 + (2y^2)/2 = c_1`

∴ x2 + 2y2 = c      ...[2c1 = c]

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Chapter 8: Differential Equation and Applications - Exercise 8.4 [Page 167]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 8 Differential Equation and Applications
Exercise 8.4 | Q 1.1 | Page 167

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