5 marksDifferential Equations and Modeling

CAPE Pure Mathematics Unit 2 · May/June 2023 · Paper 2 · Question 6(b)(ii)

Hence, solve the differential equation given that at x = 0, y = 0 and y' = 7.

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6(a)Determine the general solution of the differential equation y' + y cot x = e²ˣ.[9 marks]
6(b)(i)Show that the general solution of the differential equation y'' - y' - 2y = 3e²ˣ is y = Ae²ˣ + Be⁻ˣ + xe²ˣ.[11 marks]

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