Unformatted text preview: x, y ) one computes y3 x to determine C , that is, which line you are on. Thus the solution u ( x, y ) = h ( y3 x ) for some as yet unknown function h ( s ). Now we use the initial condition u (0 , y ) = 1 + e 2 y . It gives us 1 + e 2 y = u (0 , y ) = h ( y ) . Consequently u ( x, y ) = 1 + e 2( y3 x ) . [Last revised: February 28, 2012] 1...
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 Spring '12
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 Math, Calculus, #, Continuous function, Jerry L. Kazdan

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