## Related questions with answers

Compare your answers to Exercises $5$ and $6$. Is Euler's method doing a good job in this case? What would you do to avoid the difficulties that arise in this case?

Solution

VerifiedThis is a graph of the function each with its respective initial value. In both cases, you can see that the value is essentially 3 at t=5. Euler's method does not seem useful at all for problem 5, but problem 6 is more on track. Similarly, if we decreases the changing time interval, we will get a closer approximation. Also, notice that on problem 6, the values seem to be oscillating between a certain value and converging on it. If you extend the time to go farther, it would most likely approach the true value of this function which could give us a better idea of what the value is at t=5.

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