Which two events are independent?
2 answers:
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Answer:
We can find the solution using chain rule,
For instance, if u(x,y) = f(ax+by), then
which represents derivative of x with respect to x
and then derivative of with respect to y is
,
Now, the derivative of with respect to x, which is the second derivative, which is
and the derivative and
are
,
Finally, the solution of PDE is
= 0,
As the PDE is equal to 0, it means the function u(x,y) = f(ax+by) is the solution of the given PDE.