My Math Forum Second order, inhomogeneous ODE

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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: 21,020 Thanks: 2256 y(t) = 6cos(2t) - 5sin(2t)

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