A-LevelFurther MathematicsDifferential EquationsMay/June 2010Paper 1 Q1114 Marks
Answer only one of the following two alternatives. EITHER The variables z and x are related by the differential equation 3z² d²z/dx² + 6z (dz/dx)² + 6z² dz/dx + 5z³ = 5x + 2. OR The curve C has equation y = x(x + 1) / (x−1)².
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