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Unformatted text preview: t ? EXAMPLE. Solve the initial value problem y 002 y3 y = 0, y (0) = , y (0) = 3. Then nd so that the solution approaches 0 as t . What happens if we are just a tiny tiny bit o when we start this system, that is, we start not with y (0) = but with y (0) = + ? Assume we continue to hit the desired y (0) on the nose. What if we get a repeated root? How do we know we have all the solutions? What if the roots are complex numbers? HOMEWORK: SECTION 3.1...
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This note was uploaded on 05/19/2010 for the course M 427K taught by Professor Fonken during the Spring '08 term at University of Texas at Austin.
 Spring '08
 Fonken
 Differential Equations, Equations

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