Consider the following nonhomogeneous linear system: xi = 2x1 – x2 +t² X2 + x2 = 3x1 – 2x2 + t - 5. For the initial value of æ = [0, 0], which of the following is the solution to the system of differential equation? %3D -21 + -31 а. X = et b. x = et + -t e t2 + t + | - 2 C. X = et t + | 2. -2et + t Het + e-+|-3e + 2t – 1 d. x = MIN9INN 3 +

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Consider the following nonhomogeneous linear system:
x1 = 2x1 – x2 + t²
X2 + t2
x2 = 3x1 – 2x2 + t
5. For the initial value of æ" = [0, 0], which of the following is the solution to the system of
differential equation?
5
3.
et +
t2 +
2
а.
X =
2.
b. x = Hef + e-+ -² +|: +[
t +,
-t
et +
9.
e
с.
X =
2.
2
d. x = []e* + []e¬+ +
-2et + t
Hei +e-t+-3e + 2t
Transcribed Image Text:Consider the following nonhomogeneous linear system: x1 = 2x1 – x2 + t² X2 + t2 x2 = 3x1 – 2x2 + t 5. For the initial value of æ" = [0, 0], which of the following is the solution to the system of differential equation? 5 3. et + t2 + 2 а. X = 2. b. x = Hef + e-+ -² +|: +[ t +, -t et + 9. e с. X = 2. 2 d. x = []e* + []e¬+ + -2et + t Hei +e-t+-3e + 2t
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