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  • 3 years ago

dy/dx=(x+y)/xy

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  1. shamim
    • 3 years ago
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    wt is ur question

  2. hartnn
    • 3 years ago
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    i would have substituted x=vy any method specifically asked for ?

  3. Mimi_x3
    • 3 years ago
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    \[\frac{dy}{dx} = \frac{x+y}{xy}\] homegeneous equation y = uv \[\frac{dy}{dx} = \frac{x/x + y/x}{y/x} => \frac{dy}{dx} = \frac{1+y/x}{y/x}\] \(y=ux\) \[\frac{dy}{dx} = v+ \frac{dx}{dx}x\]

  4. hartnn
    • 3 years ago
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    @Mimi_x3 is confused with 'u' and 'v' :P

  5. Mimi_x3
    • 3 years ago
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    \[\frac{dy}{dx} = \frac{1+u}{u}\]

  6. Mimi_x3
    • 3 years ago
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    yes, typo! sorry!

  7. hartnn
    • 3 years ago
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    \(\huge u+x\frac{du}{dx}=\frac{1+u}{u}\) this is variable separable and hence easily solvable.

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