14. Find the general solution of the following homogeneous system * (8 Puan) [29 X' х...
sk 14. Find the general solution of the following homogeneous system (8 Puan) 3 2e5 = { ? ?]* O x=cie" [1] O X = cie? [i] O X = cie' < [1]+ x = cie [2] + czest [] + czer [3] + c2e [2] O none of these O X = cie ---°C]+[7)
2 8. (10 points) Find the general solution to the homogeneous system of DE: | 3 x' = Ax where A = -2 1 - 1 -2 -4.
The general solution to 4 -1 -8 x can be given by OA Ge-6t OH Cle-6t + Cze e-6t OL Cie-6t e-6 ( 21 ) +cze-x [y ( )+(?)] (?) • [:( 21 ) + ( ) (-1) [-(-) ()] ( 21 ) +ce-[:( - ) +(:)] (2) [:(-1) )+(?)] + Cze + cie-6t Ge-6t + cze e-6
1 -2 Find the general solution to the homogeneous system of DE: 3 2 6 x' = Ax where A = -2 1 -2
Find the general solution to the non-homogeneous system of DE: -4 X+
Find the general solution to the linear system of non-homogeneous differential equations x = x + x + 1 xz' = 3x1 - x2 +t
7. (10 points) Find the general solution to the homogeneous system of DE: -1 x' = Ax where A -2 = [ 21
+ c2e6t The general solution to x = (1-4) -4 4 -1 -8 X can be given by OA Cie-6t 2 -1 + cze6t O4 -6t Се [-( )+(:)] ( 21 ) +c8e-4 [-(-2) + (:)] [*( )+()] (-1) [:( 21 ) +()] OL -6t Cle-6t 2 -1 ( ) + cze -6t Ce 6t + cze 2 2 O Cie-6t t +
7. (10 points) Find the general solution to the homogeneous system of DE: x' = Ax where A = [-2 21
Please help me solve this, thanks!
Find the general solution to the system x' = Ax where A is the given matrix. | -2 -2 -6 A= 0 0 6 | 0 -2 -8 b) X(t)=( X(t)= Ce 0 e) X(t)= C, e 20 +46?' -6 +2° -1 | 2 f) None of the above. Find the general solution to the system x'= Ax where A is the given matrix. 0 1 0 A= 0 0 1 | -20 16...