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anonymous
 3 years ago
dy/dx=(x+y)/xy
anonymous
 3 years ago
dy/dx=(x+y)/xy

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hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2i would have substituted x=vy any method specifically asked for ?

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.2\[\frac{dy}{dx} = \frac{x+y}{xy}\] homegeneous equation y = uv \[\frac{dy}{dx} = \frac{x/x + y/x}{y/x} => \frac{dy}{dx} = \frac{1+y/x}{y/x}\] \(y=ux\) \[\frac{dy}{dx} = v+ \frac{dx}{dx}x\]

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2@Mimi_x3 is confused with 'u' and 'v' :P

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.2\[\frac{dy}{dx} = \frac{1+u}{u}\]

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.2\(\huge u+x\frac{du}{dx}=\frac{1+u}{u}\) this is variable separable and hence easily solvable.
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