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MAT135: Calculus IA
(a) Use Euler's method with three subintervals to generate an approximation of the solution curve to
the DE $\frac{dy}{dx} = y^2$ passing through $(0, -0.5)$, and ending $x = 3$.
(b) Use your approximation to guess when the solution passes the $x$-axis. On the slope field, sketch a
solution curve. Is the error in your Euler-method approximation an over or underestimate and why?
