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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. -4 A= f(t) = 2+2t 2 -1 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)

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. -4 A= f(t) = 2+2t 2 -1 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)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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