anonymous
  • anonymous
I ran into a 1st order DiffEQ that....
Differential Equations
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
I cannot figure which method to solve it with (linear, exact, homo, ect) x(dy/dx)=y + sqrt(x^2 + y^2)
anonymous
  • anonymous
\[x \frac{ dy }{ dx }=y + \sqrt( x^2-y^2) \]
anonymous
  • anonymous
subtraction not addition, sorry...

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Mimi_x3
  • Mimi_x3
homogenous \(y=ux\) you have to change it; to seperable
Mimi_x3
  • Mimi_x3
\[\large x\frac{dy}{dx}=y+\sqrt{x^2+y^2}\] correct?
anonymous
  • anonymous
no x^2-y^2 is under the radical, sorry about typo
Mimi_x3
  • Mimi_x3
\[\large x\frac{dy}{dx}=y+\sqrt{x^2-y^2}\]???
anonymous
  • anonymous
yes.
Mimi_x3
  • Mimi_x3
so, its homogeous \(y=ux\) \[\frac{dy}{dx}=v+x\frac{dv}{dx}\] are you able to start it?
anonymous
  • anonymous
indeed i have it from here.... thank you for the help!
Mimi_x3
  • Mimi_x3
:) if you need any help; feel free to ask :)

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