\magnification = \magstep1
\nopagenumbers
\leftline{Mathematics 134 -- Intensive Calculus for Science 2}
\leftline{Quiz 7 -- March 31, 2006}
\medskip
\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
\bigskip
\noindent
Do all work on this sheet (front and back).  You have 15 minutes.
{\it No calculators on this quiz.}
\bigskip
\noindent
A) (10)  For which value(s) of the constant $c$ is 
$y = c + e^{4x}$ a solution of ${dy\over dx} = 4y - 8$?
\vglue 2.0truein 
\bigskip
\noindent
B) (10)  The following plot shows the slope field for the 
differential equation ${dy\over dx} = 3x - 2y$.  On the plot, 
roughly sketch in the graphs of the solutions with $y(0) = 2$
and $y(0) = -2$.  
\vglue 4.0truein
\noindent
{\it Please turn over for question C}
\vfill\eject
\noindent
C) (5) Do two steps of Euler's Method with $\Delta x$ = .5
to approximate the solution of ${dy\over dx} = x + 2y$ with $y(0) = 1$.
\bye