Consider the following code:
q- 4 q''[x]- 10 w''''[x]== 0
Boundary Conditions:
w[0]== 0,w[1]== 0 w''[0]== 0,w''[0]== 0
I'm unsure the equation is linear. is it? if I take y as associated with q and w, I still have an issue at least for w that only w'''' is mentioned (x and y are not), so without full analysis I assume it's non-linear. but the Laplace I learned can only be used for linear, and to do that - I think more rules would be needed? Am I right?