01 Partial Differential Equation with constant coefficients |CF & PI |solve (25D^2-40DD'+16D'^2)z=0

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In this video lecture we are discussed basic concept of to find complementary function of linear partial differential equation with constant coefficients .
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linear partial differential equation with constant coefficients ,
solve (D+D')Z=sinx ,
solve (D^2-DD'-2D'^2)Z=(y-1)x,
find particularintegral of linear partial DE with constant coefficients,
find PI of linear partial DE with constant coefficients,
find CF of linear partial DE with constant coefficients,
complementary function of linear partial DE with constant coefficients,
CF of LPDE,
PI of LPDE,
CF of pde with constant coefficients,
solve the following partial differential equation :
1)solve pde (25D^2-40DD'+16D'^2)z=0,
2)solve pde (D^3-4D^2D'+4DD'^2)z=0,
3)solve pde (r+t+2s)z=0,
4)solve pde r-t=0