
Differential Equations Ordinary and Partial Differential Equations Math Forum 
 LinkBack  Thread Tools  Display Modes 
November 22nd, 2016, 09:12 AM  #11 
Global Moderator Joined: Dec 2006 Posts: 20,975 Thanks: 2225 
Using dx/dt + x  y = 1, dy/dt + 27x  9y = 6e^(4t)  9, with x = 3 and y = 18 when t = 0, the solution of this system is as shown below. x = (√2sin(√2t) + 3)e^(4t), y = (5√2sin(√2t) + 2cos(√2t) + 15)e^(4t) + 1 (with thanks to WolframAlpha). 

Tags 
odes 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
second order ODEs  harley05  Differential Equations  3  May 3rd, 2014 09:09 PM 
ODEs are killing me!!!  zibb3r  Calculus  1  September 21st, 2013 01:35 PM 
Please solve the 6 ODEs...  singapore  Calculus  2  March 19th, 2012 06:48 PM 
Solve the following ODEs...  FreaKariDunk  Calculus  12  February 22nd, 2012 08:59 PM 
Linearizing ODEs  acnash  Calculus  2  March 25th, 2010 04:19 PM 