Exercise 3.9.101. Find a particular solution to r'= 5x + 4y + t, y' = x + 8y – t, a) using method, integrating factor b) using eigenvector decomposition, c) using coefficients. undetermined

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Exercise 3.9.101.
Find a particular solution to r' = 5x + 4y + t,
y' = x + 8y – t.
a) using integrating factor b) using
method,
eigenvector
decomposition,
c) using
coefficients.
undetermined
Answer
The general solution is (particular solutions should agree with one of
these):
a(t) = Ciet + 4C2 - 3 - 4. y(t) = Ciet – C2e# +% + 216
Transcribed Image Text:Exercise 3.9.101. Find a particular solution to r' = 5x + 4y + t, y' = x + 8y – t. a) using integrating factor b) using method, eigenvector decomposition, c) using coefficients. undetermined Answer The general solution is (particular solutions should agree with one of these): a(t) = Ciet + 4C2 - 3 - 4. y(t) = Ciet – C2e# +% + 216
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