
Differential Equations Ordinary and Partial Differential Equations Math Forum 
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December 22nd, 2016, 04:09 AM  #11 
Global Moderator Joined: Dec 2006 Posts: 18,444 Thanks: 1462 
As ln(A) = B implies A = e^B and e^(A + B) = (e^A)(e^B), you get y(t)/(y(t)M) = e^(ktM + CM) = e^(CM)e^(ktM). As e^(CM) is effectively an arbitrary constant, you can replace it with C. Now subtract 1 from each side of the equation and simplify the lefthand side. It's then easy to see how to obtain an equation whose lefthand side is just y. 

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differential, equation, separation, solve, variables 
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