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Unformatted text preview: 3. Using dfield7, plot several solutions to the differential equation y = y^2. Does the place where they cease to exist seem to depend on initial conditions? 4. Use dfield7 to plot the given equation. Plot curves corresponding to y(0)=100 and y(0)=1000. Are both solutions unbounded near x=2? How does the differential equation make you expect this? 5. Use dfield7 to plot the solution to the given IVP. Describe the behavior as x goes to 2. Plot the solution corresponding to y(0)=2. Does there appear to be a condition for which the solution is not unique? Explain why the Theorem does not hold at this point. Plot the solution with y(3)=1. How does the behavior of the system at x=2 differ from the solution to y(0)=2 near x=2....
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- Spring '11