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10 marksDifferential Equations and Modeling

CAPE Pure Mathematics Unit 2 · May/June 2014 · Paper 2 · Question 6(a)(i)

Show that the general solution of the differential equation y' + y\tan x = \sec x is y = \sin x + C\cos x.

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  1. 6(a)(ii)Hence, obtain the particular solution where y = \frac{2}{\sqrt{2}} and x = \frac{\pi}{4}.[4 marks]
  2. 6(b)A differential equation is given as y'' - 5y' = x e^{5x}. Given that a particular solution is y_p(x) = Ax^2 e^{5x} + Bx e^{5x}, solve the differential…[11 marks]

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