Asymptotic Behavior of Solution Curves

Question

Which of the following describes the behavior of the solution curves for the differential equation $$\frac{dy}{dx}=2(x-y)$$ as $$x 	o \infty$$?

Accepted Answer

Every solution curve eventually behaves like $$y=x-\frac{1}{2}$$.

Answer

Every solution curve converges to a horizontal line.

Answer

Every solution curve eventually behaves like $$y=2*x-\frac{1}{2}$$.

Answer

The solution curves exhibit unbounded oscillatory behavior.

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