Exercise

1. Find the general solution of the following differential equations.
$$\begin{array}{ll} (a) \ (x - y^{2})dx + 2xydy = 0 & (b) \ (5x... ...& (d) \ (2x + \tan{y})dx + (x - x^{2}\tan{y})dy = 0 \end{array}$$
2. Find the general solution of the following differential equations.
$$\begin{array}{ll} (a) \ (2y^{2} - xy)dx + (2x^{2} - 3xy)dy = ... ...(b) \ (y^{4} + 2x^{3}y)dx - (x^{4} + 2xy^{3})dy = 0 \end{array}$$