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+1 vote
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in Differential equations by (36.3k points)

Solve: x(dy – xdx) + ydx = 0. 

1 Answer

+1 vote
by (33.0k points)
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Best answer

The given differential equation is 

x(dy – xdx) + ydx = 0

xdy + ydx = x2dx 

d(xy) = x2dx 

Integrating, we get 

xy = (x2/3) + c 

which is the required solution.

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