Separable D.E., Nonlinear in terms of y(x) after integration

So, this is where I am stuck:

[tex]ln\left(y\right)+y^{2} = \sin{x}+c_{0}[/tex]

I am confrused... :blushing:
 
Do you think that

[tex]y(x) =\pm\sqrt{2LambertW(2exp(2sin(x)+C)}/2[/tex]

is better?
 
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dextercioby

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It's easier to express <x> in terms of <y>, wouldn't you say ?
 

HallsofIvy

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EtherealMonkey, are you required to solve for y? That isn't always necessary or possible.
 
hmm, but is it possible to make an explicit form in terms of x?
 
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kosovtsov just posted it....
 
waw, lambert, i need to study that thing
 

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