S.O.S. Mathematics CyberBoard

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
could you please help me to solve the two questionsb above !!!
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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