Hi folks,
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!
I managed to get u(x,y) explicitly and got u_x and u_y.
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)?
Thanks