(a) Draw a direction field for this equation. (a) Draw a direction field for thi

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   (a)   Draw a direction field for this equation. (a)   Draw a direction field for this equation. (b)   (c)   (d)  

I'm not sure how to decide what the values of T should be when using the Runge-Kutta method to test the different step sizes to approximate tM, can anyone offer any pointers?    Consider the initial value problem (a)   Draw a direction field for this equation. (b)   Estimate how far the solution can be extended to the right. Let be the right endpoint of the interval of existence of this solution. What happens at to prevent the solution from continuing farther? (c)   Use the Runge-Kutta method with various step sizes to determine an approximate value of . (d)   If you continue the computation beyond , you can continue to generate values of . What significance, if any, do these values have?

I'm not sure how to decide what the values of T should be when using the Runge-Kutta method to test the different step sizes to approximate tM, can anyone offer any pointers? Consider the initial value problem Draw a direction field for this equation. Estimate how far the solution can be extended to the right. Let be the right endpoint of the interval of existence of this solution. What happens at to prevent the solution from continuing farther? Use the Runge-Kutta method with various step sizes to determine an approximate value of . If you continue the computation beyond , you can continue to generate values of . What significance, if any, do these values have? I'm not sure how to decide what the values of T should be when using the Runge-Kutta method to test the different step sizes to approximate tM, can anyone offer any pointers?

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