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Solve: (x + siny)dy + ydx = 0

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in Differential equations by (36.4k points)

Solve: (x + siny)dy + ydx = 0

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Best answer

The given differential equation is

(x + siny)dy + ydx = 0

(xdy + ydx) + siny dy = 0

d(xy) + siny dy = 0

Integrating, we get 

(xy) – cos y = c

which is the required solution.

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