Chini's equation or Bernoulli equation? How to use quadrature?

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$y' - c y^{1/2} = f(x) $ $\quad \quad $ for c : constant and $f$ continuous

I am trying to solve the above equation that is presented to me as a Bernoulli equation. However, during my searches, I found that it is Chini-type equation. I tried to solve it by defining a new variable, but anything that I defined, returned me to the initial equation. what should I do? How can I solve it? Any help or suggestion is highly appreciated!

Thank you!