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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. dydx=1y\frac { d y } { d x } = 1 - y
 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 }


A) y=Cln(1y) y = C \ln ( 1 - y )
B) y=1x+Cexy = 1 x + C e ^ { - x }
C) y=12Cexy = 1 - 2 C e ^ { x }
D) y=Cln(y1) y = C \ln ( y - 1 )
E) y=1+Cexy = 1 + C e ^ { - x }

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