Classify the following PDE's as elliptic, parabolic or hyperbolic. If mixed, identify the regions and classify within each region.
(b) xuxx - uxy + yuxy +3uy = 1
Please see the attached file for the fully formatted problem.© BrainMass Inc. brainmass.com March 4, 2021, 6:26 pm ad1c9bdddf
The most important thinf to recognize in determining this solution is how to look at the coefficients. In order to classify as on of these types we use the model:
If this solution greater then zero then it is hyperbolic, if equal to zero then parabolic, if less then zero the elliptic.
The A,B,C terms represent coefficients in our PDE. The sign of these coefficient is what is most ...
A PDE is clssified as elliptic, parabolic or hyperbolic in the given solution.