Question: Direction fields are very useful because they can give you an impression of all solutions without solving the ODE, which may be difficult or even

Direction fields are very useful because they can give you an impression of all solutions without solving the ODE, which may be difficult or even impossible. To get a feel for the accuracy of the method, graph a field, sketch solution curves in it, and compare them with the exact solutions.
y' = -5y^1/2 (Sol. √y + 5/2x = c)

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