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ODE problem, very urgent(an upvote is promised). Thank you!

Question 3 [40] Find the solution to the system of the first order differential X (t) = AX(t) + B, with initial condition 1,

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Given 7(+)= A Žlt) + 8 5(0) = 937 A212 72=26] Eigenvalues of A characte sixtic land I) = 0 1-2-d I 1 =0 =) 2-2-2) ? _1 = =)ILL . . Eigenvector d = -1 corresponding to AX= ax AX= (-1) [ !][5]=G-» [3] - -2nity=-* - n-2y=-y cĆ s. r s o Let yola nel soYa en 2 out x= [ 2034 **? = 32 ] svidde: 115*34 = the Nola Particular integral 8.1.3 Hp = F1*] e34 =5 lett tet7 L-/etttent 1and (0)={}] [?=«[...] +c[:] + [*] Cita+₂=2 -Cite-Y2=1 =) Citę = 3% =) -Citą=3%. 262=3 (2=3% 따를 일 C, = 3½-32=0 So 814) = (2,3

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