HW1 - N X n =0 d n y dx n = 0 6. y 00 + xy-(1 + x ) y = 0...

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MAE 294A / SIO 203A – Introduction to Applied Mathematics I – Fall 2009 Homework # 1 Assigned: October 1 2009 Due: October 8 2009, in class. Each question is worth 5 points. Find the solution(s) to the following differential equations: 1. y 00 + 2 y 0 + 5 y = 0 2. y 00 - y = x , y (0) = 1, y 0 (0) = 0 3. y 00 - y + 2 y 0 tan x = 0 4. y 0000 + y 000 + y 00 + y 0 + y = 0 5. Generalize the method to solve
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Unformatted text preview: N X n =0 d n y dx n = 0 6. y 00 + xy-(1 + x ) y = 0 7. x 3 y 000 + 3 x 2 y 00 + xy = y 8. y 00 + xy = 0 9. y 00 + y = sin x + e x Find the Greens function for the initial value problem: 10. 2 y 000-7 y 00 + 7 y-2 y = f ( x ), with y (0) = y (0) = y 00 (0) = 0...
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