# 7. Does the existence and uniqueness theorem apply to the differential equation y ‘ = | y |? 8….

7. Does the existence and uniqueness theorem apply to the differential equation *y*' = |*y*|?

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7. Does the existence and uniqueness theorem apply to the differential equation y ‘ = | y |? 8….

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8. Consider *y*' = *y*2 – *A*, where *A *is a parameter. Find all equilibrium points and determine their type (your answer will, of course, depend on *A*).

9. Consider *y*' = *Ay*(1 – *y*), where *A *is a parameter. Find all equilibrium points and determine their type.

10. What is the actual behavior of solutions of

*y *' = 1+ *y *?

1- *y*