Find the characteristics and characteristic coordinates, and reduce the following equation to canonical form: for y>0...

Find the characteristics and characteristic coordinates, and reduce the following equation to canonical form:

for y>0 only

Uxx+yUyy=0

Solutions

Expert Solution

This system is elliptical so we need to transform for a second time to get the real and imaginary part of characteristic. We can take this second transformation prior and then do the calculation or we can calculate and then apply this transformation. Both are correct. I have opted for the later one. Though you can obviously use the transformation (alpha, beta) at first and then calculate. You will get the same answer.

Hope you like the answer ?

Colby Messinger answered 1 year ago

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