Practical-3 Q1. Solve the linear P.D.E 2p+3q+z=0. z:= u@x,yD; p:= D@u@x,yD,xD; q:= D@u@x,yD,yD; eqn:= 2p + 3q + z 0; sol = DSolve@eqn, u@x,yD, 8x,y<D ::u@x, yD fiª -x2 C@1DB 1 2 H-3x + 2yLF>> particularsolution = u@x,yD. sol@@1DD .C@1D@t_D fi Sin@tD ª -x2 SinB 1 2 H-3x + 2yLF Plot3D@particularsolution, 8x, -5, 5<, 8y, -5, 5<, PlotPoints fi 50D -5 0 5 -5 0 5 -4 -2 0 2 4