Show that the DE (10 + 6y)dx + (6x + 18y)dy = 0 is exact. Explain why the solutions a) following implicit equation satisfy DE 10x + 6xy + 9y2 = c. b) y1 (0) = 1 and y2 (2) = 2. Verify that y and y2 satisfy the same implicit equation in a). Can you Consider y, and y2 two solutions of the DE (10 + 6y)dx + (6x + 18y)dy = 0 such that determine explicitly y, and y2 with their domains? Y1