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Ordinary Differential Equations

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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 ?
In each direction field above sketch integral curves for which y(o) = -1, y(0) = 1, y(2)=1

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Solution Summary

This shows how to sketch directions fields for differential equations using isoclines.

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