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Consider x² = (3-2) x² (a) Find a fundamental matrix. YLE). Exercise. (b) Find the special fundamental matrix ($(t) = exp(At). that (0) = 1, 32)

Consider x² = (3-2) x² (a) Find a fundamental matrix. YLE). Exercise. (b) Find the special fundamental matrix ($(t) = exp(At). that (0) = 1, 32)

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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Exercise. ( Consider x² = (3-2)* (a) Find a Answer: fundamental matrix. (E). (b) Find the special fundamental matrix ((t) = exp(At). that (0) = 1, (a) (lt) = (b) Q(t)= 2t 20²0 est engl 3e²t 26t get tet WIN ett + ت این 2 -t зе - ½ et + et 32)
Transcribed Image Text:Exercise. ( Consider x² = (3-2)* (a) Find a Answer: fundamental matrix. (E). (b) Find the special fundamental matrix ((t) = exp(At). that (0) = 1, (a) (lt) = (b) Q(t)= 2t 20²0 est engl 3e²t 26t get tet WIN ett + ت این 2 -t зе - ½ et + et 32)
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can you explain this part? I'm finding myself confused as to how you got the 1/3 [2 -1, -1 2] matrix

Now You G 1 2 Than 71 (19) = 1/3 eat 1 eAt = Y( YT() | 2e²+ e-t 3 - 1 3 11 2 -1 2+ e 1 2 2 et [4e²tet 2e²4-set √et fet et-fet -20²42e+ e²t+4e² ²e²+ + ²ēt -tetet
Transcribed Image Text:Now You G 1 2 Than 71 (19) = 1/3 eat 1 eAt = Y( YT() | 2e²+ e-t 3 - 1 3 11 2 -1 2+ e 1 2 2 et [4e²tet 2e²4-set √et fet et-fet -20²42e+ e²t+4e² ²e²+ + ²ēt -tetet
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