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 Differential Equations Ordinary and Partial Differential Equations Math Forum

 December 22nd, 2016, 03:09 AM #11 Global Moderator   Joined: Dec 2006 Posts: 20,624 Thanks: 2077 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 left-hand side. It's then easy to see how to obtain an equation whose left-hand side is just y. Tags differential, equation, separation, solve, variables Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Njprince94 Differential Equations 7 December 9th, 2015 06:20 AM philm Differential Equations 5 May 6th, 2015 10:41 AM engininja Calculus 2 February 22nd, 2011 01:06 PM engininja Calculus 4 September 22nd, 2010 11:58 PM zaserov Calculus 1 October 25th, 2007 01:11 PM

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