A differential equation of the form
dy/dx + Py = Qis called a linear differential equation, where P and Q, are functions of x( but not of y) or constants. In such case, multiply both sides by e ^{∫Pdx}e ^{∫Pdx}[dy/dx + Py] = Qe^{∫Pdx}d[ye^{∫Pdx}]/dx = Q·e^{∫Pdx}Integrating both sides we get ye ^{∫Pdx} = ∫Qe^{∫Pdx}dx + C.e ^{∫Pdx} is called the integrating factor.Solution is y×[I.F.] = ∫Q[I.F.]dx + c |

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