state charpit's method with formula
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Find the complete integral of partial differential equation
z2=pqxyz2=pqxy
I have solved this equation till auxiliary equation:
dp−pqy+2pz=dq−pqx+2qz=dz2pqxy=dxqxy=dypxydp−pqy+2pz=dq−pqx+2qz=dz2pqxy=dxqxy=dypxy
But I have unable to find value of p and q.
EDIT:
p = ∂z/∂x q = ∂z/∂y r = ∂²z/∂x² = ∂p/∂x s = ∂²z/∂x∂y = ∂p/∂y or ∂q/∂x t = ∂²z/∂y² = ∂
z2=pqxyz2=pqxy
I have solved this equation till auxiliary equation:
dp−pqy+2pz=dq−pqx+2qz=dz2pqxy=dxqxy=dypxydp−pqy+2pz=dq−pqx+2qz=dz2pqxy=dxqxy=dypxy
But I have unable to find value of p and q.
EDIT:
p = ∂z/∂x q = ∂z/∂y r = ∂²z/∂x² = ∂p/∂x s = ∂²z/∂x∂y = ∂p/∂y or ∂q/∂x t = ∂²z/∂y² = ∂
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