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Problem 13 Medium Difficulty

Sketch the direction field of the differential equation. Then use it to sketch a solution curve that passes through the given point.
$ y' = y + xy, (0,0) $

Answer

$$\begin{array}{|c|c|c|}
\hline x & y & y^{\prime}=y+x y \\
\hline 0 & \pm 2 & \pm 2 \\
1 & \pm 2 & \pm 4 \\
-3 & \pm 2 & 74 \\
\hline
\end{array}$$

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Video Transcript

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