A-LevelFurther MathematicsDifferential EquationsMay/June 2015Paper 1 Q1114 Marks
Answer only one of the following two alternatives. EITHER Show that the substitution v = 1/y reduces the differential equation (2/y³) (dy/dx)² + (1/y²) (d²y/dx²) + (5/y) = 17 + 6x – 5x² to the differential equation d²v/dx² + 2dv/dx + 5v = 17 + 6x – 5x². Hence find y in terms of x, given that when x = 0, y = 1/2 and dy/dx = -1.
📋 Examiner Report & Trap Analysis
Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...
🎯 Mark Scheme Breakdown
Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.
🔒
Unlock the Examiner's Analysis
Sign up for free to reveal the full examiner report, trap analysis, and mark scheme breakdown for this question.
Sign Up Free to Unlock →Join thousands of Cambridge students already using Oracle Prep