#### Problem 2E

$1-4$

(a) Find $y^{\prime}$ by implicit differentiation.

(b) Solve the equation explicitly for $y$ and differentiate to get $y^{\prime}$ in terms of $x$.

(c) Check that your solutions to parts (a) and (b) are consistent by substituting the expression for $y$ into your solution for part (a).

2. $2 x^{2}+x+x y=1$