My Math Forum Solve differential equation with use of separation of variables

 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 Display Modes Linear 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

 Contact - Home - Forums - Cryptocurrency Forum - Top