What does one do when the particular solution is defined implicitly and it has to be differentiated an put back into original DE to check it?
See attached pdf...thanks!
In terms of your method (1), you say solve for u explicitly and then sub into PDE, but we have to get u_x and u_y beore we sub in right?
For your (2), this looks interesting but wouldnt it be difficult to get u_x and u_y if its implicitly defined? otherwise (1) is the exact same (2)?