Homogeneous Linear Partial Differential Equations with Constant Coefficients | By Shreya Mahajan

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Aj k lecture m start karenge Homogeneous Linear Partial Differential Equations with Constant Coefficients

*It is said to be homogeneous because all terms contain derivatives of the same order. This can be written as,

f(D, D') z = F(x, y)

Its solution consists of two parts -

(i) The complementary function (C.F.) which is the complete solution of the equation f(D, D') z = 0. It must contain n arbitrary functions where n is the order of the differential equation.

(ii) The particular integral (P.I.) which is a particular solution (free from arbitrary constants) of

f(D, D') z = F(x, y)



The complete solution of above Differential Equation is -
Z = C.F + P.I

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