solo quiero saber la respuesta
Resuelva la siguiente ecuación

    y’  = 2 x –1 (y – 1)1/2

   

  



y  =  (ln x + C)2 


y  =  (ln x + C)2 + 1/2 


y  =  (ln x + C)2 + 2


y  =  (ln x + C)2 + 1

La respuesta correcta para la ecuación diferencial 

\[
y' = 2x - 1 (y - 1)^{\frac{1}{2}}
\]

es:

\[
\boxed{y = (\ln x + C)^2 + 1}
\]

Learn how to solve the differential equation y' = 2x - 1 (y - 1)^{1/2} step-by-step with a detailed solution. This problem involves differential equations, specifically focusing on the form y' = f(x, y). Suitable for advanced high school students.

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