## chemENGINEER 2 years ago I ran into a 1st order DiffEQ that....

1. chemENGINEER

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

2. chemENGINEER

$x \frac{ dy }{ dx }=y + \sqrt( x^2-y^2)$

3. chemENGINEER

4. Mimi_x3

homogenous $$y=ux$$ you have to change it; to seperable

5. Mimi_x3

$\large x\frac{dy}{dx}=y+\sqrt{x^2+y^2}$ correct?

6. chemENGINEER

7. Mimi_x3

$\large x\frac{dy}{dx}=y+\sqrt{x^2-y^2}$???

8. chemENGINEER

yes.

9. Mimi_x3

so, its homogeous $$y=ux$$ $\frac{dy}{dx}=v+x\frac{dv}{dx}$ are you able to start it?

10. chemENGINEER

indeed i have it from here.... thank you for the help!

11. Mimi_x3

:) if you need any help; feel free to ask :)