APFIVE Asymptotic Behavior of Solution Curves
Which of the following is true about the behavior of the solution curves for the differential equation $$\frac{dy}{dx}=2*(x-y)$$ as $$x \to \infty$$?
A
Every solution curve eventually behaves like $$y=x-\frac{1}{2}$$.
B
The solution curves exhibit unbounded oscillatory behavior.
C
Every solution curve converges to a horizontal line.
D
Every solution curve eventually behaves like $$y=2*x-\frac{1}{2}$$.
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