Differential Equations: differential equations – #28131

Question: Consider the following differential equation

\[2xydx+\left( 1+{{x}^{2}} \right)dy=0\] (3)

(a) (5 points) Determine whether the equation in (3) is linear (in x or y or both), whether it is separable, and whether it is exact.

(b) (15 points) Solve the equation, stating which method of solution you will be using. Describe implicitly the method of solution simply by stating whether you are going to solve it as a linear, a separable, or an exact equation.

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