I have the following problem: $$ u_{t}(x,t)+a(x,t)u_{x}(x,t)-f(x,t)=0\\ \ u(x,0)=0, \\$$
How to solve this equation? Thank you.
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1Look for a characteristic line. – mookid Mar 01 '14 at 08:57
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A related technique. – Mhenni Benghorbal Mar 05 '14 at 05:57