# PDEMOC10

From Example Problems

If and are two graphs that are integral surfaces of and intersect in a curve , show that is a characteristic curve.

From this problem, we know that given any point on an integral surface, the surface contains the unique characteristic curve passing through that point.

So let . Then contains the characteristic curve passing through and so does . Therefore . But , so is the characteristic curve passing through .

Main Page : Partial Differential Equations : Method of Characteristics