The partial differential equation

is classified as

What is the order & degree of the p.d.e $x^2\left(\frac{\partial z}{\partial x}\right)^2=z\left(x-y\frac{\partial z}{\partial y}\right)$  

Singular solution of Partial differential equation can be obtained by

The condition of compatibility of partial differential equations $f\left(x,y,z,p,q\right)=0\ ,\ \ g\left(x,y,z,p,q\right)=0$  is

If u is homogeneous function of order n then  $\frac{\partial u}{\partial x}\ ,\ \frac{\partial u}{\partial y}$ both are homogeneous function of order 

If  $f\left(x,y\right)=0\$  then what is the value of  $\frac{dy}{dx}$  is