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Consider the following. x' = 6x − 10y y' = 10x − 6y, X(0) = (6, 10) (a) Find the general ...

Consider the following.

x' = 6x − 10y
y' = 10x − 6y, X(0) = (6, 10)

(a) Find the general solution.
(x(t), y(t)) =
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Determine whether there are periodic solutions. (If there are periodic solutions, enter the period. If not, enter NONE.)



(b) Find the solution satisfying the given initial condition.
(x(t), y(t)) =

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(c) With the aid of a calculator or a CAS graph the solution in part (b) and indicate the direction in which the curve is traversed.

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Answer #1

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