Unformatted text preview: that can possess the following solution: y = sin x + e x + cos 2 x b) Find such an ODE that has this solution. 4. For what value of β does a solution exist to the following boundary value problem: d 2 φ dx 2 + dφ dx = 1 (1) dφ dx = 1 , x = 0 (2) dφ dx = β, x = L (3) 5. Find the general solution of these three Euler equations: a) x 2 y pp-3 x y p + 4 y = 0 b) x 3 y ppp + 6 x 2 y pp + 7 x y p + y = 0 c) x 2 y pp + x y p + 9 y = 0...
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- Spring '08
- Derivative, Boundary value problem, Advanced Engineering Analysis, coefficient linear ODE, circular cylindrical coordinates