homework2 - L ? 1.5.3 Solve the boundary problem u 00 = 0...

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1.2.2 Solve the equation 3 u y + u xy = 0 (Hint: Let v = u y ) 1.2.5 Solve the equation p (1 - x 2 ) u x + u y = 0 with the condition u (0 ,y ) = y . 1.5.1 Consider the problem d 2 u dx 2 + u = 0 u (0) = 0 and u ( L ) = 0 , consisting of an ODE and a pair of boundary conditions. Clearly, the function u ( x ) = 0 is a solution. Is this solution unique or not ? Does the answer depend on
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Unformatted text preview: L ? 1.5.3 Solve the boundary problem u 00 = 0 for < x < 1 with u (0) + ku (0) = 0 and u (1) ± k u (1) = 0 Do the + and-cases separately. What is special about the case k = 2 ? 1...
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This note was uploaded on 09/18/2010 for the course APM 346 taught by Professor Chugunova during the Fall '08 term at University of Toronto.

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