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Question

# Slope Fields Use a computer algebra system to graph the slope field for the differential equation and graph the solution satisfying the specified initial condition.$\frac{dy}{dx}=\frac{10}{x \sqrt{x^2-1}},\ y(3)=0$

Solution

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Given:

\begin{aligned} \frac{dy}{dx}&=\frac{10}{x\sqrt{x^2-1}} \\ y(3)&=0 \end{aligned}

We need to use some computer algebra system to graph the slope field corresponding to the given differential equation as well as the solution satisfying $y(3)=0$.

Possible online computer algebra systems can be found by searching for "slope field generator" in some search engine.

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