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hartnnBest ResponseYou've already chosen the best response.2
i would have substituted x=vy any method specifically asked for ?
 one year ago

Mimi_x3Best ResponseYou've already chosen the best response.1
\[\frac{dy}{dx} = \frac{x+y}{xy}\] homegeneous equation y = uv \[\frac{dy}{dx} = \frac{x/x + y/x}{y/x} => \frac{dy}{dx} = \frac{1+y/x}{y/x}\] \(y=ux\) \[\frac{dy}{dx} = v+ \frac{dx}{dx}x\]
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
@Mimi_x3 is confused with 'u' and 'v' :P
 one year ago

Mimi_x3Best ResponseYou've already chosen the best response.1
\[\frac{dy}{dx} = \frac{1+u}{u}\]
 one year ago

hartnnBest 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.
 one year ago
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