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\centerline{Mathematics 134 -- Intensive Calculus for Science 2}
\centerline{Discussion 4 -- Slope Fields}
\centerline{\it April 16, 2002}
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{\it Discussion Questions}
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A) The plot shows the slope field for ${dy \over dx} = x(y-1)$
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\item{1)}  Sketch the solutions passing through the points
$(0,1), (0,-1), (0,0)$ (you should get three different graphs).
\item{2)}  From your sketch, write down the equation of the 
solution with $y(0) = 1$.
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\item{3)}  Check your solution to part 2 by substituting it 
into the differential equation.
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B) This plot shows the slope field for ${dy \over dx} = x + y$
\vglue 5.0truein
\item{1)}  Sketch the solutions passing through the points
$(-1,0), (-3,1), (0,0)$ (you should get three different graphs again).
\item{2)}  From your sketch, guess the equation of the 
solution with $y(-1) = 0$.
\vglue 1.0truein
\item{3)}  Check your solution to part 2 by substituting it 
into the differential equation.
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{\it Assignment}
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Group writeups due Friday, April 19.
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