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anonymous
 one year ago
How can I show that the function y=(cos^1)x satisfies the equation [(d^2y)/(dx^2)]=cot y cosec^2 y?
anonymous
 one year ago
How can I show that the function y=(cos^1)x satisfies the equation [(d^2y)/(dx^2)]=cot y cosec^2 y?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443184414753:dw I tried subbing y into the equation, is that what I'm meant to do?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1yes you did \(\cos y = x\) implicitly?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@IrishBoy123 You mean like this: dw:1443185241885:dw

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1well, no, i was thinking doing it this way: \( \cos y = x\) \(sin y \, y' = 1\) \( \cos y \, (y')^2  \sin y \, y' \, y '' = 0\) then rearranging all of that.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh that makes sense, thank you so much! :)

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1typo in last line \( \cos y \, (y')^2  \sin y \, y '' = 0\)
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