Question

Problem 4. = (1 point) Find the solution to the linear system of differential equations { -17x + 14 y -21x + 18y satisfying the initial conditions x(0) = 6 and y(0) = 8. y' x(t) = yt) = Note: You can earn partial credit on this problem.
STRUGGLING WITH THESE TWO SETS OF PROBLEMS ID APPREACIATE THE CORRECT ANSWERS THANKS

Answer 1

boly o conside A = 1-17 14 21 18 & IA-I ) = 1² -12= ((143) (1-4) ا وا ر3 = A د consider I A-1, I1=1-14 -) 14 21 RI SRL -14 1, R₂ Sht21R 2) ol 4 =12X=104 X2 - 4 4 = () taking *4 = 1 4 = 23 x2 Ug = a re taking sz=3 ( ) = (1) consider (A-1, I1 = 1-21 14 1 RRIT Far 213 1 , B 3 2 +2121 16 43) >> ** Con 243)* U = (2) general sol a xlt) = 9631/1) thet (3 alt)= 4 e 3+ + 26 84 re ylt)= 4 e 3 + 3 Geet 20) = 6 2 410-8 6 = 8= 4302 6 3))+() [ 31813 83 | $ 1»B-SR3-R1 10 & 12 - G=2 9+262 = 6 (144=6 >4=2 general sold in AL)- 2e-37 yLt)= 26-3t t6elt A[3-4] HIA-LILE 1-27 146149 = (x+3)(1+3) -4-1 11=-3, 12=-3 a+202 +40lt considul A-111= => X = la 762 R SR₂4RI | 411. B-ses+klo o ****> -- (!)* 34-40) Ecoscient de convideo (A-111562=4 >[i-111];B4 [oolo 24 +22=-1 34 = -1 -2 re taking sy=0 24 = -1 1:42=46) > general soll u cle344)+63 [te-31-1) sport] = "5-1]+ofte st te Ite 3 +1)] 3t e