MATH 2850 Quiz: MATH 2850 Iowa 2850 Sp 2017 Solution to Quiz 5
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Draw the direction eld for the following di erential equation: y = y(2 y) On the direction eld above, draw the solution to the above di erential equation that satis es the initial condition y(0) = 1. If so, state whether they are stable, semi-stable or unstable. Give an example of an initial value problem that does not have a unique solution. Circle t for true and f for false. Suppose y = 1(t) and y = 2(t) are solutions to ay + by + cy = 0. Then y = c1 1(t) + c2 2(t) is also a solution to this linear homogeneous di erential equation. Suppose y = 1(t) and y = 2(t) are linearly independent solutions to. [5] ay + by + cy = 0. exists constants c1 and c2 such that h(t) = c1 1(t) + c2 2(t). If y = h(t) is also a solution to ay + by + cy = 0, then there.
