Given the second order PDE in the picture, as I worked through the solution I got the point where you're supposed to write up the IVP you're trying to solve first and got stuck. I then looked at the solutions my teacher has provided, and I make no sense of it. I don't get where the idea of using a Taylor Expansion comes from, or if there is another way of solving the PDE, can anyone explain this to me? More over, how would I come to the comclusion, that a Taylor Expansion (or another idea) is what I am to do?
#Methods of Characteristics
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