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GSW Problem Set 3

# GSW Problem Set 3 - y 00 = 0 using the characteristic...

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EA 4 Workshop questions - week of 10/19/08 1. Consider a linear second order equation with constant coefficients, ay 00 + by 0 + cy = 0 . (1) Suppose someone tells you that they believe that y = x 2 is a solution to this equation. Explain why he must be wrong. 2. Find the solution to the problem y 00 - 3 y 0 + 2 y = 0 , y (0) = 1 , y 0 (0) = 0 . 3. Find the general solution to the problem
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Unformatted text preview: y 00 = 0 , using the characteristic equation. 4. ±ind the solution to the problem y 00-8 y + 16 y = 0 , y (0) = 1 , y (0) = 2 . 5. Consider the equation y 00 + by + y = 0 . Show that if b > , all solutions decay to 0 as x → ∞ ....
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