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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.