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# Solve the equation $e^{-y}y' + \cos x = 0$ and graph several members of the family of solutions. How does the solution curve change as the $C$ varies?

## $y=-\ln (\sin (x)-C)$

#### Topics

Differential Equations

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

either Power minus y. When? As last Car six equal studio ever needs power minus. Do you worry? It's equal to minus six. Authorities indication. Do the bar minus y Y is given as addition minus six weeks. So what is it for my right over minus? Wanna do minus sine X plus C? Yeah, we have. Why? Don't want to borrow. Why people do sine x minus C one over Shine. It's minus e equals suit you the bar There will be Have Ellen sine x minus C it waas equal lnto LaVar y all we have. Why? Minus lnm are sine X minus c. So this is the answer to live in a

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#### Topics

Differential Equations

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp