Possible Expressions for DE

[Sjsusu]

Hello, my calculus teacher recently assigned us these problems but he has not yet taught Differential Equations. I have been able to solve most of the other questions but I can't seem to figure this one out.
I have taken the derivative of each answer choice, but none of them seem to fit the DE. Answer choice b is the closest answer I could find, but I am not sure.
Thank you for taking the time to read this, any help is much appreciated.

 

[topsquark]

Start the same way that MarkFL suggested for a similar problem
[math]\dfrac{dy}{dx} = \dfrac{2x - 1}{y^2}[/math]
[math]y^2 ~ dy = (2x - 1) ~ dx[/math]
[math]\int y^2 ~ dy = \int (2x - 1) ~dx [/math]
[math]\dfrac{1}{3} y^3 = x^2 - x + C[/math]
Use y(0) = 3 to get a value for C.

-Dan

 

[Sjsusu]

Thanks, after simplifying to isolate y, I got d as my answer.