The general form of the linear differential equation of second order is
d ^{2}y/dx^{2} + P dy/dx + Qy = Rwhere P and Q are constants and R is a function of x or constant. Differential Operator Symbol D stands for the operation of differential i.e. Dy = dy/dx D ^{2}y = d^{2}y/dx^{2}1/D stands for the operation of integration. 1/D ^{2} stands for the operation of integration twice.d ^{2}y/dx^{2} + P dy/dx + Qy = R can be written in the operator formD ^{2}y + P Dy + Qy = R or (D^{2} + PD + Q)y = RComplete Solution = Complementary function + Particular Integral |

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