Question
Solve the initial value problems.$$\frac{d r}{d \theta}=\cos \pi \theta, \quad r(0)=1$$
Step 1
To find the function $r(\theta)$, we need to integrate the right-hand side with respect to $\theta$. This gives us: $$r(\theta) = \int \cos \pi \theta \, d\theta.$$ Show more…
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