Sketch a Few Solutions of the Differential Equation on the Slope

question 31

Multiple Choice

Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically. $\frac { d y } { d x } = 1 - y$

• A) \(y = C \ln ( 1 - y )\)
• B) \(y = 1 x + C e ^ { - x }\)
• C) \(y = 1 - 2 C e ^ { x }\)
• D) \(y = C \ln ( y - 1 )\)
• E) \(y = 1 + C e ^ { - x }\)

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