The accompanying figure shows a slope field for thedifferential equation y = x/y.(a) Use

Chapter 8, Problem 17

(choose chapter or problem)

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 $y(0)=1$.

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

Figure Ex-17

Equation Transcription:

${y}^{'}=-x/y$

$y\left({\frac{1}{2}}\right)$

$y(0)=1$

Text Transcription:

y(1/2)

y(0)=1

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