4. First Order Differential Equations – Edexcel Further Pure Mathematics 2 (FP2)

What students need to learn:
Further solution of first order differential equations with separable variables.
The formation of the differential equation may be required. Students will be expected to obtain particular solutions and also sketch members of the family of solution curves.

First order linear differential equations of the form \(\dfrac{dy}{dx} + Py = Q\) where \(P\) and \(Q\) are functions of \(x\).
The integrating factor \(e^{\int Pdx}\) may be quoted without proof.

Differential equations reducible to the above types by means of a given substitution.

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