The points (-1,3) and (0,2) are on a curve, and at any point (x,y) on the curve d^2y/dx^2 = 2 - 4x. Find an equation of the curve.
Hint: Let d^2y/dx^2 = dy'/dx' and obtain an equation involving y', x and an arbitrary constant C1. From this equation obtain another equation involving y, x, C1, and C2. Compute C1 and C2 from the conditions:
Answer from book: 3y = -2x^3 + 3x^2 +2x + 6
THanks so much!