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.
Practise Edexcel A Level Maths 11.10 Solving Differential Equations with exam-style questions for A Level Maths. 35 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
