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se the variation of parameters formula to find a general solution of the system x'(1) = Ax(t) + f(t), where A and ft) are given. ft) = 2+21 A= 2 -1 ..... at x(t) = x, (t) + x,(t), where x, (t) is the general solution corresponding to the homogeneous system, and x, (t) is a particular solution to the nonhomogeneous stem. Find x (t) and x,(1). (1) = (Type your answer as a single matrix)

se the variation of parameters formula to find a general solution of the system x'(1) = Ax(t) + f(t), where A and ft) are given. ft) = 2+21 A= 2 -1 ..... at x(t) = x, (t) + x,(t), where x, (t) is the general solution corresponding to the homogeneous system, and x, (t) is a particular solution to the nonhomogeneous stem. Find x (t) and x,(1). (1) = (Type your answer as a single matrix)

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.5: Cramer's Rule
Problem 35PS
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Use the variation of parameters formula to find a general solution of the system x'(t0) = Ax(t) + f(1), where A and f(t) are given. %3D -4 2 f(t) = A= 2 -1 2+2t Let x(t) = x, (t) + x, (t), where x, (t) is the general solution corresponding to the homogeneous system, and x, () is a particular solution to the nonhomogeneous system. Find x, (1) and x, (1). X(1) = *(1) = (Type your answer as a single matrix)
Transcribed Image Text:Use the variation of parameters formula to find a general solution of the system x'(t0) = Ax(t) + f(1), where A and f(t) are given. %3D -4 2 f(t) = A= 2 -1 2+2t Let x(t) = x, (t) + x, (t), where x, (t) is the general solution corresponding to the homogeneous system, and x, () is a particular solution to the nonhomogeneous system. Find x, (1) and x, (1). X(1) = *(1) = (Type your answer as a single matrix)
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