The complete solution of the partial differential equation \(x\left( {\frac{{\partial z}}{{\partial x}}} \right) - y\left( {\frac{{\partial z}}{{\partial y}}} \right) = {y^2} - {x^2}\) will be
1
ϕ(x2 + y2 + 2z, x + y) = 0, where ϕ is an arbitrary function.
2
ϕ(x2 + y2 – 2z, log (xy)) = 0, where ϕ is an arbitrary function.
3
ϕ(x2 + y2 - 2z, x + y) = 0, where ϕ is an arbitrary function.
4
ϕ(x2 + y2 + 2z, log (xy)) = 0, where ϕ is an arbitrary function.
5
Not Attempted