Consider the following system of nonhomogeneous first-order differential equations:2 1aetX +betX' =1 2What are the values of a and b for the vector x, = (3te + et-3te' + e* ,isit a particular solution of that system? Hint: A fundamental matrix is known to beete3tet e3tOptions:а.а — —5уb — 1b. a = 1 yb = -5С.а — 5 yb %— -1d. a = -1yb = 5

Particular solution of the system X' = AX + b is: XP=Φ∫Φ−1b dt here Φ is fundamental matrix.

Consider the following system of nonhomogeneous first-order differential equations: (G :)** () ae X + 2 1 X' = 1 2 3te + et What are the values of a and b for the vector X, = ( °ttdt is it a particular solution of that system? Hint: A fundamental matrix is known to be et est -et e3t Options: а.а — —5уЬ — 1 b. a = 1 yb = -5 C. a = 5 yb = -1 d. a = -1yb = 5

Consider the following system of nonhomogeneous first-order differential equations: (G :)** () ae X + 2 1 X' = 1 2 3te + et What are the values of a and b for the vector X, = ( °ttdt is it a particular solution of that system? Hint: A fundamental matrix is known to be et est -et e3t Options: а.а — —5уЬ — 1 b. a = 1 yb = -5 C. a = 5 yb = -1 d. a = -1yb = 5

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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