INTEGRATING FACTOR METHOD - Salford

Differential EquationsINTEGRATING FACTOR METHODG raham S McDonaldA Tutorial Module for learning to solve 1storder linear differential equationslTable of contentslBegin Tutorialc of on using notationFull worked solutionsSection 1: Theory31. TheoryConsider an ordinary differential equation ( ) that we wish tosolve to find out how the variableydepends on the the equation isfirst orderthen the highest derivative involved isa first it is also alinearequation then this means that each term caninvolveyeither as the derivativedydxOR through a single FACTOR such linear first order can be re-arranged to give the fol-lowing standard form:dydx+P(x)y=Q(x)whereP(x) andQ(x) are functions ofx, and in some cases may 1.

Section 1: Theory 3 1. Theory Consider an ordinary differential equation (o.d.e.) that we wish to solve to find out how the variable y depends on the variable x.

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  Factors, Integrating, Ordinary, Integrating factor

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