Question: Problem 7. (8 POINTS) LET y' = Ay HAVE THE GENERAL SOLUTION y ( t ) = ( Cie - at + Cate 41 )

 Problem 7. (8 POINTS) LET y' = Ay HAVE THE GENERAL

Problem 7. (8 POINTS) LET y' = Ay HAVE THE GENERAL SOLUTION y ( t ) = ( Cie - at + Cate 41 ) 2 + 020- " [ _ 3 ] . FOR THE SAME MATRIX A, FIND A SUITABLE FORM OF A PARTICULAR SOLUTION OF THE NONHOMOGENEOUS SYSTEM, y' = Aye 46 -1 ( A) yp (t ) = eat 6 (B) yp(t) = te at = ] wow [ o ] to * [ a ] (D) yp(t) = 1e-4 8 + + [ ]+ . " [ : ] (E) yp(t) = e " [ 8 ] + [ ] ]

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