Question
Consider the differential equation $y^{\prime}=f(y)$ and the given graph of $f .$ Make a rough sketch of a direction field for each differential equation.
Step 1
This equation tells us that the derivative of $y$ with respect to $x$ is a function of $y$. In other words, the slope of the solution curve at any point $(x,y)$ is given by the value of $f(y)$. Show more…
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