help me solve this: (2 + y)(dy/dx) = (4 + y^2)

Try isolating dy/dx

\(\displaystyle \L\\\frac{dy}{dx}=\frac{4+y^{2}}{2+y}\)

\(\displaystyle \L\\\frac{dx}{dy}=\frac{2+y}{4+y^{2}}\)

Integrate.

\(\displaystyle \L\\\int{dx}=\int{\frac{2+y}{4+y^{2}}dy\)
 
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