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September 29th, 2018, 10:59 PM  #1 
Newbie Joined: Sep 2018 From: hyderabad Posts: 1 Thanks: 0  problem to be solved
anyone plz help me answer this... solve dx/dt=y+t and dy/dt=2x+3y+1 using simultaneous L.D.E 
September 30th, 2018, 02:48 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,921 Thanks: 2203 
2dx/dt  dy/dt = 2x  y + 2t  1, so 2x  y = Ae^t  2t  1. $\ $ dx/dt  dy/dt = 2x  2y + t  1, so$\,\,$ x  y = Be^(2t)  t/2 + 1/4. Hence x = Ae^t  Be^(2t)  (3/2)t  5/4, y = Ae^t  2Be^(2t)  t  3/2. 

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