zonazoo
Find a solution of the intial value problem.
dy/dx = (e^(xy))/(1+e^x), y(1)=0



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AravindG
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well did you try variable separation method?

zonazoo
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I did, and not sure if I am right. But i am at.
y = ln  ln  1 + e^x  + c 
but it looks wrong to me

AravindG
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hint :\[\large e^{xy}=\dfrac{e^x}{e^y}\]

AravindG
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you are right !! :)

AravindG
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now use y(1) to get c

zonazoo
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what I got was right... okay, so then I would just plug in the 0 and 1 and find c

zonazoo
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0 = ln  ln  2 + e^1  + C 

zonazoo
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umm 0 = ln 2 + e^1 + C
how do I find C, or do I just make it a decimal

AravindG
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C=ln2+e