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Consider the First-Order Homogeneous System of Linear Differential Equations

Question 90

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Consider the first-order homogeneous system of linear differential equations
X = Consider the first-order homogeneous system of linear differential equations X = x Given a fundamental matrix (t) for the system, which of these is the general solution of this system? Here, C = is an arbitrary constant vector. A) x(t) = (t) C B) x(t) = (t) + C C) x(t) = <sup>-1</sup>(t) C D) x(t) = (0) C x
Given a fundamental matrix Consider the first-order homogeneous system of linear differential equations X = x Given a fundamental matrix (t) for the system, which of these is the general solution of this system? Here, C = is an arbitrary constant vector. A) x(t) = (t) C B) x(t) = (t) + C C) x(t) = <sup>-1</sup>(t) C D) x(t) = (0) C (t) for the system, which of these is the general solution of this system? Here, C = Consider the first-order homogeneous system of linear differential equations X = x Given a fundamental matrix (t) for the system, which of these is the general solution of this system? Here, C = is an arbitrary constant vector. A) x(t) = (t) C B) x(t) = (t) + C C) x(t) = <sup>-1</sup>(t) C D) x(t) = (0) C is an arbitrary constant vector.


A) x(t) = 11eec32a_dc1b_6687_8720_5fa3d39c7544_TBW1042_11 (t) C
B) x(t) = 11eec32a_dc1b_6687_8720_5fa3d39c7544_TBW1042_11 (t) + C
C) x(t) = 11eec32a_dc1b_6687_8720_5fa3d39c7544_TBW1042_11 -1(t) C
D) x(t) = 11eec32a_dc1b_6687_8720_5fa3d39c7544_TBW1042_11 (0) C

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