A-Level Further Maths · Further Pure
Differential Equations
What is it
Further Maths differential equations extend A-Level Maths to second-order equations, including those with constant coefficients, solved by finding a complementary function and a particular integral.
Why it matters
Second-order differential equations model oscillating and resonant systems — springs, pendulums, electrical circuits — making this topic essential preparation for physics and engineering degrees where such systems appear constantly.
Exam tip
Always find the complementary function first, then the particular integral, and add them together for the general solution — attempting both at once, or forgetting one entirely, is the most common structural error in solving these equations.
Related topics
Want help mastering Differential Equations?
Tell us about the student's goals and confidence — we'll design a personalised plan.