Using the chain rule of partial differentiation, to show that the differential equation
Au_xx + Bu_xy + Cu_yy + Du_x + Eu_y + Fu = G
transforms into the differential equation
A' u_,aa + B'u_bb + C'u_cc + Du_a + Eu_b + Fu = G
The complete problem is in the attached file.© BrainMass Inc. brainmass.com March 22, 2019, 2:36 am ad1c9bdddf
This solution explains the transformation of the partial differential equation into a new partial differential equation by changing the variables.The solution is given in detail. This is mainly for finding the solution of partial differential equation.