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5 marksDifferential Equations and Modeling

CAPE Pure Mathematics Unit 2 · May/June 2026 · Paper 2 · Question 6(c)(ii)

A differential equation is given by d^2y/dx^2 - dy/dx - 2y = e^(4x).

Determine a particular integral of the differential equation.

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Other parts of this question

  1. 6(a)Calculate the value of k for which the matrix is singular.[4 marks]
  2. 6(b)(i)Solve the differential equation to obtain the general solution.[8 marks]
  3. 6(b)(ii)Hence, given that y = 1 when x = 0, determine the particular solution.[2 marks]
  4. 6(c)(i)Obtain the complementary function of the differential equation.[5 marks]
  5. 6(c)(iii)Hence, state the general solution of the differential equation.[1 mark]

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