b. Compute the inverse of X.X-1 -c. Multiply by the nonhomogenity g(t) and integrate.C1u(t) = / x-'(t)g(t) dtC2d. Write the general solution to the system.+ C2x(t) = c1= C1 Consider the nonhomogeneous system:1 24et-4 32e*a. Write a fundamental matrix for the associated homogeneous system11- cos (21) - sin 21 Acos (2t)2X =1cos 21 - sin 212cos (21)b. Compute the inverse of X.X-1c. Multiply by the nonhomogenity g(t) and integrate.1/2

(a) Given the coefficient matrix is A=-12-43. Find the eigenvalues of A by solving detA-λI=0.…

Consider the nonhomogeneous system: 4et x + 2et -4 3 a. Write a fundamental matrix for the associated homogeneous system 글 cos(21)- 극 sin 2/ A sin 2t A cos (21) X = cos 2t – sin 2t cos (21) b. Compute the inverse of X. X-1 = c. Multiply by the nonhomogenity g(t) and integrate. 1/2

Consider the nonhomogeneous system: 4et x + 2et -4 3 a. Write a fundamental matrix for the associated homogeneous system 글 cos(21)- 극 sin 2/ A sin 2t A cos (21) X = cos 2t – sin 2t cos (21) b. Compute the inverse of X. X-1 = c. Multiply by the nonhomogenity g(t) and integrate. 1/2

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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Question

b. Compute the inverse of X.
X-1 -
c. Multiply by the nonhomogenity g(t) and integrate.
C1
u(t) = / x-'(t)g(t) dt
C2
d. Write the general solution to the system.
+ C2
x(t) = c1
= C1

Consider the nonhomogeneous system:
1 2
4et
-4 3
2e*
a. Write a fundamental matrix for the associated homogeneous system
1
1
- cos (21) - sin 21 A
cos (2t)
2
X =
1
cos 21 - sin 21
2
cos (21)
b. Compute the inverse of X.
X-1
c. Multiply by the nonhomogenity g(t) and integrate.
1/2

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