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 Differential Equations Ordinary and Partial Differential Equations Math Forum

 September 29th, 2018, 11:59 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, 03:48 AM #2 Global Moderator   Joined: Dec 2006 Posts: 19,977 Thanks: 1851 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. Thanks from bhanutejagoud

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