Bernoulli's differential equation is given by

1
\(\rm \dfrac{dy}{dx}+P(x) y=Q(x)y^n\)
2
\(\rm \dfrac{dy}{dx}+y=Q(x)y^2+R(x)\)
3
\(\rm \dfrac{dy}{dx}+P(x)y=Q(x)y^2\)
4
\(\rm \dfrac{dy}{dx}+P(x)y=Q(x)\)

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