A curve, CCC, passes through the point with coordinates (3,2)(3, 2)(3,2). The gradient of CCC at any point (x,y)(x, y)(x,y) is given by the differential equation
dydx=y2(2x−3)6 \frac{dy}{dx} = \frac{y^2(2x - 3)}{6} dxdy=6y2(2x−3)Prove that CCC intersects the coordinate axes at exactly one point and determine the coordinates of this point. Fully justify your answer.
92 exam-style questions on WJEC A Level Maths 4.6 Integration (A-level only), covering 4.6.1 Integration (A-level only) and 4.6.2 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.