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A-LevelFurther MathematicsDifferential equations9231/12 · May/June 2019 · Q710 Marks

Find the particular solution of the differential equation 10d²x/dt² + 3dx/dt - x = t + 2, given that when t = 0, x = 0 and dx/dt = 0.

  1. Find the particular solution of the differential equation 10d²x/dt² + 3dx/dt - x = t + 2, given that when t = 0, x = 0 and dx/dt = 0.[10]

Mark scheme

Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.

  1. [1] Axillary equation
  2. [1]
  3. [1] Forms PI and differentiates.
  4. [2] Substitutes.
  5. [1] States general solution.
  6. [1] Differentiates.
  7. [1] Forms simultaneous equations.
  8. [1]
  9. [1] States PS.

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About this question

Topic
Differential equations, A-Level Further Mathematics (syllabus 9231). Structured question, 10 marks.
Source
A-Level Further Mathematics, May/June 2019 Paper 1 Variant 2, question 7.

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