Question
Solve the differential equation. Use a graphing utility to graph three solutions, one of which passes through the given point.$$\frac{d r}{d t}=\frac{\sec ^{2} t}{\tan t+1}, \quad(\pi, 4)$$
Step 1
We can rewrite this equation in terms of $t$ and $r$ as $dr = \frac{\sec ^{2} t}{\tan t+1} dt$. Show more…
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