3+13 -t 5. Consider the vector valued functions x₁(t)= and x₂(t)= t2 -(3) (a)Compute the Wronskian W[x₁,x₂](t). (b) Find a matrix valued function A(t) such that X₁, X₂ form a dx dt dx. dt fundamental set of solutions to the system Wronskian W[x₁,x₂](t)=0. (c) Give a general solution to the system =A(t)x with the A(t) found - A(t)x whenever the -2 (e)Solve the initial value problem with X(1)= T above. (d) Find the natural fundamental matrix associated with the initial time t₁ =1 for this system.

3+13 -t 5. Consider the vector valued functions x₁(t)= and x₂(t)= t2 -(3) (a)Compute the Wronskian W[x₁,x₂](t). (b) Find a matrix valued function A(t) such that X₁, X₂ form a dx dt dx. dt fundamental set of solutions to the system Wronskian W[x₁,x₂](t)=0. (c) Give a general solution to the system =A(t)x with the A(t) found - A(t)x whenever the -2 (e)Solve the initial value problem with X(1)= T above. (d) Find the natural fundamental matrix associated with the initial time t₁ =1 for this system.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 32E

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