## Related questions with answers

Question

For the differential equation, find a solution which passes through the given point.

$e^{-\cos \theta} \frac{d z}{d \theta}=\sqrt{1-z^2} \sin \theta, \quad z(0)=\frac{1}{2}$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 6The goal of this task is to find a solution that passes through a given point

$\mathbb{e}^{-\cos\theta}\dfrac{dz}{d\theta}=\sqrt{1-z^2}\sin\theta$

where, $z(0) = \dfrac{1}{2}$

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