Differential Equations Lecture Work Solutions 83

Differential Equations Lecture Work Solutions 83 - XY x 2 X...

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e. u tt + f ( t ) u t = u xx Try u ( x, t )= X ( x ) T ( t ) ¨ TX + f ( t ) X ˙ T = X 0 T Divide by XT ¨ T T + f ( t ) ˙ T T = X 0 X The equation is separable. f. x 2 y 2 u xxx = u y Try u ( x, y )= X ( x ) Y ( y ) x 2 X 0 Y = y 2 XY 0 Divide by
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Unformatted text preview: XY x 2 X X = y 2 Y Y The equation is separable. 83...
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.

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