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Determine the particular solution of the system of ODEs below. []=[][]+[]·[8]=[] » [*(6)] = 66 a) [*(8)] = + b) • = £ 5 C) y(t) 8888 O a [2g(s)e² + 2h(s)e-t] g(s)[et-e-t] Od | [2h(t)e² + 2g(t)e¯ t] ds dt 2h(s)et-s d) » [2 (1) ] = ± √₁₂ [h(s)[e² • _ e-(-a)] + 2g(a)e-(t-»), [2h(s)et-s+2g(s)e-(t-s) h(s)[et-se-(t-s)] ds ds

Determine the particular solution of the system of ODEs below. []=[][]+[]·[8]=[] » [*(6)] = 66 a) [*(8)] = + b) • = £ 5 C) y(t) 8888 O a [2g(s)e² + 2h(s)e-t] g(s)[et-e-t] Od | [2h(t)e² + 2g(t)e¯ t] ds dt 2h(s)et-s d) » [2 (1) ] = ± √₁₂ [h(s)[e² • _ e-(-a)] + 2g(a)e-(t-»), [2h(s)et-s+2g(s)e-(t-s) h(s)[et-se-(t-s)] ds ds

Advanced Engineering Mathematics
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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Determine the particular solution of the system of ODEs below. []=[][]+[]·[8]=[] » [*(6)] = 66 a) [*(8)] = + b) • = £ 5 C) y(t) 8888 O a [2g(s)e² + 2h(s)e-t] g(s)[et-e-t] Od | [2h(t)e² + 2g(t)e¯ t] ds dt 2h(s)et-s d) » [2 (1) ] = ± √₁₂ [h(s)[e² • _ e-(-a)] + 2g(a)e-(t-»), [2h(s)et-s+2g(s)e-(t-s) h(s)[et-se-(t-s)] ds ds
Transcribed Image Text:Determine the particular solution of the system of ODEs below. []=[][]+[]·[8]=[] » [*(6)] = 66 a) [*(8)] = + b) • = £ 5 C) y(t) 8888 O a [2g(s)e² + 2h(s)e-t] g(s)[et-e-t] Od | [2h(t)e² + 2g(t)e¯ t] ds dt 2h(s)et-s d) » [2 (1) ] = ± √₁₂ [h(s)[e² • _ e-(-a)] + 2g(a)e-(t-»), [2h(s)et-s+2g(s)e-(t-s) h(s)[et-se-(t-s)] ds ds
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