Chapter 8.3, Problem 17ES

The accompanying figure shows a slope field for the differential equation $y^{\prime }=-x/y.$

(a) Use the slope field to estimate $y\left(\frac{1}{2}\right)$ for the solution that satisfies the given initial condition $y\left(0\right)=1.$

(b) Compare your estimate to the exact value of $y\left(\frac{1}{2}\right).$