[All Steps] Consider the following differential equation 2xydx+(1+x^2)dy=0 (3) (5 points) Determine whether the equation in (3) is linear (in x or y or
Question: (20 points) Consider the following differential equation
\[2xydx+\left( 1+{{x}^{2}} \right)dy=0\] (3)- (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.
- (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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