What is the general form of second order non-linear partial differential equations (x and y being independent variables
Posted: Thu Jul 14, 2022 9:41 am
a) \(F(x,y,z,\frac{∂z}{∂x},\frac{∂z}{∂y},\frac{∂^2 z}{∂x^2},\frac{∂^2 z}{∂y^2},\frac{∂^2 z}{∂x∂y})=0\)
b) \(F(x,z,\frac{∂z}{∂x},\frac{∂z}{∂y},\frac{∂^2 z}{∂x^2},\frac{∂^2 z}{∂y^2})=0\)
c) \(F(y,z,\frac{∂z}{∂x},\frac{∂z}{∂y})=0\)
d) F(x,y)=0
b) \(F(x,z,\frac{∂z}{∂x},\frac{∂z}{∂y},\frac{∂^2 z}{∂x^2},\frac{∂^2 z}{∂y^2})=0\)
c) \(F(y,z,\frac{∂z}{∂x},\frac{∂z}{∂y})=0\)
d) F(x,y)=0