AP Calculus AB / Differential Equations / Question No. 42

42. If \( \frac{dy}{dx} = 2 - y \), and if \( y = 1 \) when \( x = 1 \), then \( y = \)

\( 2 - e^{x - 1} \)

\( 2 - e^{1 - x} \)

\( 2 - e^{-x} \)

\( 2 + e^{-x} \)

Answer is: option2

\( 2 - e^{1 - x} \)

Solution:

\( 2 - e^{1 - x} \)

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Home Practice Questions AP Calculus AB Differential Equations Question No. 42