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# Solve the following differential equation. xdx + 2y dx = 0 - Mathematics and Statistics

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Sum

Solve the following differential equation.

xdx + 2y dy = 0

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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]

Concept: Differential Equations
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#### APPEARS IN

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