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chemENGINEER

  • 2 years ago

I ran into a 1st order DiffEQ that....

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  1. chemENGINEER
    • 2 years ago
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    I cannot figure which method to solve it with (linear, exact, homo, ect) x(dy/dx)=y + sqrt(x^2 + y^2)

  2. chemENGINEER
    • 2 years ago
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    \[x \frac{ dy }{ dx }=y + \sqrt( x^2-y^2) \]

  3. chemENGINEER
    • 2 years ago
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    subtraction not addition, sorry...

  4. Mimi_x3
    • 2 years ago
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    homogenous \(y=ux\) you have to change it; to seperable

  5. Mimi_x3
    • 2 years ago
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    \[\large x\frac{dy}{dx}=y+\sqrt{x^2+y^2}\] correct?

  6. chemENGINEER
    • 2 years ago
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    no x^2-y^2 is under the radical, sorry about typo

  7. Mimi_x3
    • 2 years ago
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    \[\large x\frac{dy}{dx}=y+\sqrt{x^2-y^2}\]???

  8. chemENGINEER
    • 2 years ago
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    yes.

  9. Mimi_x3
    • 2 years ago
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    so, its homogeous \(y=ux\) \[\frac{dy}{dx}=v+x\frac{dv}{dx}\] are you able to start it?

  10. chemENGINEER
    • 2 years ago
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    indeed i have it from here.... thank you for the help!

  11. Mimi_x3
    • 2 years ago
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    :) if you need any help; feel free to ask :)

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