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  3. 1 consider the initial value problem 3324 y0 0...

Question: 1 consider the initial value problem 3324 y0 0...

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1. Consider the initial value problem 33,2一4, y(0) = 0. The direction field for (1) is shown below y(t) 1 0 (a) Sketch the solution curve for the initial value problem (b) At what time tM is the right endpoint of the solution curve you sketched above? What 0 2 happens at tM to prevent the solution from continuing further? (Your explanation should rely on the equation itself, as well as on the direction field.)(c) Using a classical Runge-Kutta method, the solution curve below is obtained. Explain why the computer-generated solution extends beyond tM. What significance, if any, do the solution values beyond tM have?

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