14. Write the given system of differential equation as a matrix equation X' = AX. dx = 2x + 3y, dt dy = x - y dt (²³) (²3) c. (²1 =³) a. b. d. (², -7³) 1

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Answer the question #14 and show it's solution. Thanks
14. Write the given system of differential equation as a matrix equation X' = AX.
dx
= 2x + 3y,
dt
dy
= x - y
dt
3
-2
a.
(²__³₁)
b. (²3³)
c. (²1 =³)
15. Find all the solutions of the system below.
2
(1₁ 1² 1) () = 0
-1
y
d. (²/1₁ -³)
-1
1/2
Transcribed Image Text:14. Write the given system of differential equation as a matrix equation X' = AX. dx = 2x + 3y, dt dy = x - y dt 3 -2 a. (²__³₁) b. (²3³) c. (²1 =³) 15. Find all the solutions of the system below. 2 (1₁ 1² 1) () = 0 -1 y d. (²/1₁ -³) -1 1/2
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