9.2.2 AP Calculus Exam -- slope field for which DE

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karush
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ok probably if one did a lot of these this could be solved by observation
others separate the variables and take to Integral to get the equation
 
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  • Slope field plotted on axes from -2 to 2, with short line segments showing slopes at grid points, and five multiple-choice differential equations listed below: (A) dy/dx = 1 + x, (B) dy/dx = x^2, (C) dy/dx = x + y, (D) dy/dx = x/y, (E) dy/dx = ln y.
    AP 301.png
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karush said:
ok probably if one did a lot of these this could be solved by observation
others separate the variables and take to Integral to get the equation

meant to be done by observation ... note the slopes near this line are close to a value of -1

the equation of the line is about $\color{red}y = -x-1 \implies y+x=-1$

what do you think?
 
Attachments
  • Slope field plot with short line segments on a grid with axes marked at -2, 2 and 1, a red line running diagonally from upper left to lower right, and five multiple-choice differential equations listed below.
    slopeFieldMC.jpg
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that looks like C

but how would you it was a line?