A-LevelMathematicsDifferential equationsOct/Nov 2023Paper 3 Q119 Marks
11 The variables x and y satisfy the differential equation x² dy/dx + y² + y = 0. It is given that x = 1 when y = 1. (a) Solve the differential equation to obtain an expression for y in terms of x. (b) State what happens to the value of y when x tends to infinity. Give your answer in an exact form.
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