How about something like
I have an examinable question that I am stuck on and obviously I cannot submit it here.
Instead I am asking if some one could provide a simple problem that demonstrates the principle. Here goes:
We have linear first order PDE u(x,y). Asked to find u given intial conditions which I can.
Next it asks to show that the solution is not defined when y > f(x). (I know what the f(x) of x is but cannot show it)
Could anyone provide a simple example to demonstrate this or at least what do i do?
there are 2 restrictions: We never divide by 0 and we assume real values functions. Therefore based on this and looking at the above example, the quantity . Therefore . Otherwise we get a complex number.
What is the domain of the function?
The domain of this function is the set of all real values of x and y whose quantity .
Is there a better way of stating this mathematically?