APFIVE Asymptotic Behavior of Solution Curves
Which of the following is true about the solution curves of the differential equation $$\frac{dy}{dx}=x-y$$?
A
Every solution curve converges to a constant value as $$x \to \infty$$.
B
Every solution curve approaches the line $$y=x$$ as $$x \to \infty$$.
C
Every solution curve approaches the line $$y=x-1$$ as $$x \to \infty$$.
D
The solution curves are periodic functions.
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