7) Given the operator (transformation) dX .13) dt L(X) = ] L(U) - = 2 -10 4 X. Determine a fundamental set X1h, X2hto the homogeneous equation .14) L (X₁) = [8]. Show that indeed you have a fundamental set of vector solutions. ii) Determine (t) = ReX1h (t) and V(t) = ImX1n(t). Show that 0.15) [8], L(V) [8].
7) Given the operator (transformation) dX .13) dt L(X) = ] L(U) - = 2 -10 4 X. Determine a fundamental set X1h, X2hto the homogeneous equation .14) L (X₁) = [8]. Show that indeed you have a fundamental set of vector solutions. ii) Determine (t) = ReX1h (t) and V(t) = ImX1n(t). Show that 0.15) [8], L(V) [8].
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please no written by hand solution
![7) Given the operator (transformation)
(0.13)
dX
dt
L(X) [
2
-10 4
iii) Solve the initial value problem
(0.16)
].
X.
i) Determine a fundamental set X1h, X2hto the homogeneous equation
(0.14)
L (X₁) = [8].
0
Show that indeed you have a fundamental set of vector solutions. ii) Determine
U(t) = ReX1h (t) and V(t) = ImX₁h (t). Show that
(0.15)
L(U) = [ 8 ], L(V) = [8] ·
L(X) = [], X(0) - [3]
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3493b49b-d2b2-43ed-b307-30153378920e%2F01f92a85-8c89-4f28-bcf2-e5d4c3e4dc8c%2Fg0ii7vp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7) Given the operator (transformation)
(0.13)
dX
dt
L(X) [
2
-10 4
iii) Solve the initial value problem
(0.16)
].
X.
i) Determine a fundamental set X1h, X2hto the homogeneous equation
(0.14)
L (X₁) = [8].
0
Show that indeed you have a fundamental set of vector solutions. ii) Determine
U(t) = ReX1h (t) and V(t) = ImX₁h (t). Show that
(0.15)
L(U) = [ 8 ], L(V) = [8] ·
L(X) = [], X(0) - [3]
=
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