Question

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

Answer 1

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

Answer 2

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

Answer 3

subtraction not addition, sorry...

Answer 4

homogenous
\(y=ux\)
you have to change it; to seperable

Answer 5

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

Answer 6

no x^2-y^2 is under the radical, sorry about typo

Answer 7

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

Answer 8

yes.

Answer 9

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

Answer 10

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

Answer 11

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