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Let A = [¹2]. Find solutions u(t), v(t) to x' = Ax such that every solution can be expressed in the form au(t) + ßv(t) for suitable con- stants a, ß. Any solutions u, v such that u(0) and v(0) are independent vectors.

Let A = [¹2]. Find solutions u(t), v(t) to x' = Ax such that every solution can be expressed in the form au(t) + ßv(t) for suitable con- stants a, ß. Any solutions u, v such that u(0) and v(0) are independent vectors.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 28E
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-2 Let A [¹2]. Find solutions u(t), v(t) to x'=Ax such that every solution can be expressed in the form au(t) + ßv(t) for suitable con- stants a, ß. Any solutions u, v such that u(0) and v(0) are independent vectors. =
Transcribed Image Text:-2 Let A [¹2]. Find solutions u(t), v(t) to x'=Ax such that every solution can be expressed in the form au(t) + ßv(t) for suitable con- stants a, ß. Any solutions u, v such that u(0) and v(0) are independent vectors. =
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