Consider the nonhomogeneous system x+ Write a fundamental matrix for the associated homogeneous system help (formulas) help (matrices) X = Compute the inverse help (formulas) help (matrices) x-1 = Multiply by the nonhomogeneity f and integrate +C1 x-l ƒ dt = help (formulas) help (matrices) +c2 Do not include c¡ and c2 in your answers. Give the solution to the system x = c1 +c2 + help (formulas) help (matrices) Do not include cj and c2 in your answers. If you don't get this in 2 tries, you can get a hint.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the nonhomogeneous system
-[ ]
3 4
Write a fundamental matrix for the associated homogeneous system
help (formulas)
X =
help (matrices)
Compute the inverse
help (formulas)
X-1
help (matrices)
Multiply by the nonhomogeneity f and integrate
+c1
help (formulas)
help (matrices)
f dt =
+c2
Do not include c¡ and c2 in your answers.
Give the solution to the system
x = c1
+c2
help (formulas) help (matrices)
Do not include c1
and c2
in
your answers.
If you don't get this in 2 tries, you can get a hint.
Transcribed Image Text:Consider the nonhomogeneous system -[ ] 3 4 Write a fundamental matrix for the associated homogeneous system help (formulas) X = help (matrices) Compute the inverse help (formulas) X-1 help (matrices) Multiply by the nonhomogeneity f and integrate +c1 help (formulas) help (matrices) f dt = +c2 Do not include c¡ and c2 in your answers. Give the solution to the system x = c1 +c2 help (formulas) help (matrices) Do not include c1 and c2 in your answers. If you don't get this in 2 tries, you can get a hint.
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