Unformatted text preview: y-1 = 0 2. (2 points) Is the following initial value problem well-posed? (i.e. does it satisfy the assumptions of the existence and uniqueness theorem) Why or why not? y = q 1-y 2 , y (0) = 0 3. (2 points) Write down the ODE system corresponding to the method of lines discretization of the following PDE: u t = ±u xx + u (1-u ) u (0 , x ) = 1-x u ( t, 0) = 1 u ( t, 1) = 0 1...
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- Spring '09
- English-language films, Boundary value problem, following initial value, standard form ODE