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(1 point) This is the second part of a two-part problem. Show that y(t)=[ e^(4t) e^(4t) e^(4t) ] is a solution to the system of

(1 point) This is the second part of a two-part problem. Show that

y(t)=[ e^(4t)

e^(4t)

e^(4t) ]

is a solution to the system of linear homogeneous differential equations

y1' = 2y1 + y2 + y3 y2' = y1 + y2 + 2y3

y3' = y1 + 2y2 + y3

  1. Find the value of each term in the equation y1=2y1+y2+y3 in terms of the variable t. (Enter the terms in the order given.) __ =__ +__ +
  2. Find the value of each term in the equation y2=y1+y2+2y3 in terms of the variable t. (Enter the terms in the order given.) __ =__ +__ +
  3. Find the value of each term in the equation y3=y1+2y2+y3 in terms of the variable t. (Enter the terms in the order given.) __ =__ +__ +

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