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Unformatted text preview: , x > 0 and w (0 , t ) = h ( t ) , t > . 5. (# 12.2.5 (a) and (d)) Solve using the method of characteristics: w t + c w x = e 2 x , w ( x, 0) = f ( x ) , and w t + 3 t w x = w, w ( x, 0) = f ( x ) , 6. (# 12.6.6 (a)) Consider the following trac ow problem: t + c ( ) x = 0 . Assume that u ( ) = u max (1 / max ) and c ( ) = d/d ( u ( )). Solve for ( x, t ) if ( x, 0) = b max , x < , x > . This initial condition corresponds to an inFnite line of trac stopped at a red light at x = 0 which is started by the light turning green. * MAP 4341; Instructor: Patrick De Leenheer. 1...
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- Summer '06