Mathematics Homework Solutions
Problem
#2637

Sketch direction fields for the following ODE's

Sketch the direction fields for the following ODE's.
Make use of isoclines wherever possible.
a.  y' = y - x + 1
b.  y' = 2x
c.  y' = y - 1
d.  y' = xsquared + ysquared - 1
e.  y' = y - xsquared
Please note y'=y prime. It looks diff, when i see the ?
#2.
    In each direction field above sketch integral curves for which y(o) = -1, y(0) = 1, y(2)=1


Solution Summary

Sketch the direction fields for the following ODE's.
Make use of isoclines wherever possible.
a.  y' = y - x + 1
b.  y' = 2x
c.  y' = y - 1
d.  y' = xsquared + ysquared - 1
e.  y' = y - xsquared

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