Find the complete solution of the differential equation .
Factor out common monomial factors
Combine all terms with x, and combine all terms with y
Since the variables are already separated, we can already apply integration. That is,
Combining the solutions, we come up with
We can simplify the solution further by applying the law of logarithms. That is
That is already an acceptable answer, but we can still simplify it further by eliminating the natural logarithm.
However, is also a constant so we can name it to another constant, say . So,
That is also an acceptable answer but we can still simplify the equation by eliminating the square root sign. That is
However, is another constant and we can rename it to . That is,