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April 27th, 2015, 05:49 AM  #1 
Newbie Joined: Apr 2015 From: london/leeds Posts: 1 Thanks: 0  Second order, inhomogeneous ODE
Hi, can anyone solve 5y′′ + 3y′ + 25y = −61sin(2t) to give a particular integral in the form yPI(t) = acos(ωt) + bsin(ωt)? It would be much appreciated. Last edited by skipjack; April 27th, 2015 at 06:30 AM. 
April 27th, 2015, 06:29 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,469 Thanks: 2038 
y(t) = 6cos(2t)  5sin(2t)


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inhomogeneous, ode, order 
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