Solve the differential equation xdx + 2ydy = 0 - Mathematics and Statistics

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Sum

Solve the differential equation xdx + 2ydy = 0

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Solution

xdx + 2ydy = 0

Integrating on both sides, we get

`int x  "d"x + 2inty  "d"y` = 0

∴ `x^2/2 + 2(y^2/2)^2` = c1

∴ x2 + 2y2 = c, where c = 2c1 

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Chapter 2.6: Differential Equations - Attempt the following questions II

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