Let A(t) be a n × n matrix whose coefficients are continuous functions of t on the interval (α, β). Let t0 ∈ (α, β) and asssume that y(t) is a solution of the initial value problem x' = A(t)x, x(t0) = 0. Show that y(t) = 0 for all t ∈ (α, β
Let A(t) be a n × n matrix whose coefficients are continuous functions of t on the interval (α, β). Let t0 ∈ (α, β) and asssume that y(t) is a solution of the initial value problem x' = A(t)x, x(t0) = 0. Show that y(t) = 0 for all t ∈ (α, β
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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Let A(t) be a n × n matrix whose coefficients are continuous functions of t on the interval (α, β). Let t0 ∈ (α, β) and asssume that y(t) is a solution of the initial value problem
x' = A(t)x, x(t0) = 0.
Show that y(t) = 0 for all t ∈ (α, β).
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