Solving diff eqn: dy/dx=[sqrt(y)(1-sqrt(y)-y)]/[sqrt(y)(1/sqrt(y)+1-...)]

[A4li]

Hi I'm having a slight issue trying to solve the differential equation below.. I would greatly appreciate any help or tips to solve this problem. Thank you.

\(\displaystyle \dfrac {dy}{dx} = \dfrac{y^{1/2}(1 - y^{1/2} - y)}{y^{1/2}(y^{-1/2} + 1 - y^{-3/2})}\)

 

[A4li]

Help solving this differential equation

Hi I'm having a slight issue trying to solve the differential equation below.. I would greatly appreciate any help or tips to solve this problem. Thank you.

\(\displaystyle \frac {dy}{dx} = \frac{y^{1/2}(1 - y^{1/2} - y)}{y^{1/2}(y^{-1/2} + 1 - y^{-3/2})}\)

 

[Deleted member 4993]

Hi I'm having a slight issue trying to solve the differential equation below.. I would greatly appreciate any help or tips to solve this problem. Thank you.

\(\displaystyle \dfrac {dy}{dx} = \dfrac{y^{1/2}(1 - y^{1/2} - y)}{y^{1/2}(y^{-1/2} + 1 - y^{-3/2})}\)

If I were to do this problem, I would simplify it first by making a substitution:

u = y^(1/2)

and continue...