Partial differential equations represented as "operators"

kingwinner

For example, if we have the PDE:
u_xy+cos(x) u + (u_y)² = x

How can we express it in "operator" form Lu=f(x,y)?

OK, in this case, f(x,y)=x, but what would L be?
L=∂_xy + cos(x) + ?????

kingwinner	For example, if we have the PDE: u_xy+cos(x) u + (u_y)² = x How can we express it in "operator" form Lu=f(x,y)? OK, in this case, f(x,y)=x, but what would L be? L=∂_xy + cos(x) + ?????