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Differential equations formulae

The 2 results the differential equations notes display, each with the conditions it needs to be true and a link to the lesson that states it. The formulae booklet prints none of them, so every one is yours to carry into the examination in your head.

Further Maths · 2 lessons with formulae.

A result the Edexcel formulae booklet prints is marked as such; one it does not print is marked to learn; and a result badged derived in the lesson is a working line the notes build in front of you rather than a standard result to memorise.

2 lessons

First order equations and integrating factors

\text{IF} = e^{\text{∫} P \, dx}

NOT IN THE BOOKLET: LEARN ITConditionsThe equation must first be written as dy/dx + P(x)y = Q(x), with the coefficient of dy/dx equal to 1.

Second order equations

am^{2} + bm + c = 0

NOT IN THE BOOKLET: LEARN ITConditionsConstant coefficients with a ≠ 0, for the homogeneous equation ay″ + by′ + cy = 0.

Every formula in the library is indexed by unit on the equation index, and the differential equations notes are where these results are derived and used. The 2 the booklet does not print are on the list of every formula to memorise, alongside the rest of the course.

Also: Polar coordinates formulae · Further Pure 1 formulae