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## Main Question or Discussion Point

I'm curious about the differential equation which takes the general form of,

[tex]y'+Cy^2=D[/tex].

Where C and D are constants. According to mathematica, the answer is:

[tex] \sqrt{\frac{D}{C}} \tanh{(x \sqrt{CD})}[/tex].

But I'd like to know how this is done by hand, I was able to do this with separation of variables and finding x, then solving for y, but it was a large waste of time and I'm curious if there is a general way to solve this just as linear ones can be solved.

[tex]y'+Cy^2=D[/tex].

Where C and D are constants. According to mathematica, the answer is:

[tex] \sqrt{\frac{D}{C}} \tanh{(x \sqrt{CD})}[/tex].

But I'd like to know how this is done by hand, I was able to do this with separation of variables and finding x, then solving for y, but it was a large waste of time and I'm curious if there is a general way to solve this just as linear ones can be solved.