9 marksDifferential Equations and Modeling

CAPE Pure Mathematics Unit 2 · May/June 2022 · Paper 2 · Question 6(b)

Solve the initial value problem x² dy/dx + 2xy = cos x, where y(π) = 0.

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Other parts of this question

6(a)(i)Determine P(A|B).[2 marks]
6(a)(ii)Calculate the probability that a member of the population, selected at random, is colour-blind.[2 marks]
6(c)Determine the general solution of the differential equation y'' - 7y' + 12y = sin x - cos x.[12 marks]

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