03 Solve PDE (D^2+DD'-6D'^2)=y cosx|Solve PDE (D^2+DD'-6D'^2)=y sinx |PDE with constant coefficient

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In this video lecture we are discussed basic concept of to find particular integral of linear partial differential equation with constant coefficients using general method.
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linear partial differential equation with constant coefficients ,
solve LPDE (D^2+DD'-6D'^2)=y cosx ,
solve LPDE (D^2+DD'-6D'^2)=y sinx ,
LINEAR PARTIAL DE
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 (25D^2-40DD'+16D'^2)z=0,
solve (D^3-4D^2D'+4DD'^2)z=0,
solve (r+t+2s)z=0,
solve r-t=0,