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Particular integralsAQA A-Level Further Maths: Mind map

What this mind map covers

  • General solution
  • Trial functions
  • Finding p and q
  • Special case
  • Conditions

Exam questions on Particular integrals

  1. d2ydx2−dydx−6y=12x\frac{d^2y}{dx^2}-\frac{dy}{dx}-6y=12x.
    Find a particular integral.2 marks
  2. d2ydx2−4dydx+3y=16e−x\frac{d^2y}{dx^2}-4\frac{dy}{dx}+3y=16e^{-x}.
    Find the general solution.2 marks
  3. d2ydx2+3dydx+2y=10cos⁡x\frac{d^2y}{dx^2}+3\frac{dy}{dx}+2y=10\cos x.
    Find a particular integral.3 marks
See the full worksheet

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).