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 Post subject: differential equationPosted: Tue, 17 Jul 2012 22:38:34 UTC
 S.O.S. Newbie

Joined: Tue, 17 Jul 2012 22:05:53 UTC
Posts: 1
Q1) Find the solution to the differential equation ??
y''+4y'+4y=e^(-2x) +4cos4x .
such that y=y'=-1 when x=0
Q2) find the general solution to the set of linear differential equations:
dx1/dt =5x1+2x2+4x3
dx2/dt=-3x1+6x2+2x3
dx3/dt=3x1-3x2+x3
Looking forwards to hearing from you very soon

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 Post subject: Re: differential equationPosted: Wed, 18 Jul 2012 04:54:01 UTC
 Moderator

Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12098
Location: Austin, TX
Q1) Find the solution to the differential equation ??
y''+4y'+4y=e^(-2x) +4cos4x .
such that y=y'=-1 when x=0
Q2) find the general solution to the set of linear differential equations:
dx1/dt =5x1+2x2+4x3
dx2/dt=-3x1+6x2+2x3
dx3/dt=3x1-3x2+x3
Looking forwards to hearing from you very soon

What have you tried? Can you find the homogeneous solutions? Do you know how to find particulars using something like variation on parameters?

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