Reduction of order pt1

Alastair Rucklidge The University of Leeds
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Synopsis

Reduction of Order

If we know one solution of a linear second-order linear differential equation, we can use the Reduction of Order technique to reduce the equation down to a first-order differential equation, even in the case where the coefficients of the second-order equation are functions of x. The technique is explained and used to solve the equation

x^2 y'' + x y' - y = 2x

Recommended for: AQA - MPF3; Edexcel - FP2, C3

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