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Recall that X = 0(t)-1(to)X, + (t) -(s)F(s) ds solves the initial value problem X' = AX + F(t), X(t) = X, whenever (t) is a fundamental matrix of associated homogeneous system. Use the above to solve the given initial-value problem. X' = X(1): X(t) =

Recall that X = 0(t)-1(to)X, + (t) -(s)F(s) ds solves the initial value problem X' = AX + F(t), X(t) = X, whenever (t) is a fundamental matrix of associated homogeneous system. Use the above to solve the given initial-value problem. X' = X(1): X(t) =

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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Intro to Diff Equation
Recall that X = P(t)@-l(t)X, + P(t) -1(s)F(s) ds solves the initial value problem X' = AX + F(t), X(t,) = X, whenever (t) is a fundamental matrix of the associated homogeneous system. Use the above to solve the given initial-value problem. X' = ,X(1) = X(t) =
Transcribed Image Text:Recall that X = P(t)@-l(t)X, + P(t) -1(s)F(s) ds solves the initial value problem X' = AX + F(t), X(t,) = X, whenever (t) is a fundamental matrix of the associated homogeneous system. Use the above to solve the given initial-value problem. X' = ,X(1) = X(t) =
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