Please don't give handwritten answer ..thanku Recall that X = $(t)¶¯¹(to)Xo · + Φ(t)JtoUse the above to solve the given initial-value problem.X(t) =¹(s)F(s) ds solves the initial value problem X' = AX + F(t), X(t) = X whenever Þ(t) is a fundamental matrix of the associated homogeneous system.tX' =* - (1-1)× - ( 1 ) × » - ( 1)+X(1) =t

Given Data: Let us consider the given data, X'=1-11-1x+1t1tX1=4-1 To Find: The value of X(t).

Recall that X = (t)-¹(to)X + $(t) 0-¹(s)F(s) ds solves the initial value problem X' = AX + F(t), X(t) = X₁ whenever (t) is a fundamental matrix of the associated homogeneous system. Use the above to solve the given initial-value problem. * - : -) · ( ) × » - (-:-) , X(1) = -(-₁) X(t) =

Recall that X = (t)-¹(to)X + $(t) 0-¹(s)F(s) ds solves the initial value problem X' = AX + F(t), X(t) = X₁ whenever (t) is a fundamental matrix of the associated homogeneous system. Use the above to solve the given initial-value problem. * - : -) · ( ) × » - (-:-) , X(1) = -(-₁) X(t) =

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.2: Linear Independence, Basis, And Dimension

Problem 3AEXP

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Question

Please don't give handwritten answer ..thanku

Recall that X = $(t)¶¯¹(to)Xo · + Φ(t)
Jto
Use the above to solve the given initial-value problem.
X(t) =
¹(s)F(s) ds solves the initial value problem X' = AX + F(t), X(t) = X whenever Þ(t) is a fundamental matrix of the associated homogeneous system.
t
X' =
* - (1-1)× - ( 1 ) × » - ( 1)
+
X(1) =
t

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