Graph a direction field (by a CAS or by hand) and sketch some solution curves. Solve the

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Graph a direction field (by a CAS or by hand) and sketch some solution curves. Solve the ODE exactly and compare. In Prob. 16 use Euler’s method.

Solve y' = y - y2, y(0) = 0.2 by Euler’s method (10 steps, h = 0.1). Solve exactly and compute the error.

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