Particular Integral of a Homogenous Linear PDE

76 Views Asked by At

Consider, $z$ a function of $z= f(x,y)$ and D & D' respectively represent partial differential operators, i.e $$\frac{∂}{∂}, \quad\frac{∂}{∂y}$$ . i am learning particular integrals for PDE using the expansion method but unable to understand the marked expansions used in the image. can someone help with this?