For this system of 1st order ODE, y₁' = 4y₁ +2y₂ −2e-²t Y₂'= 3y₁ +3y₂ + 3e¯²¹ € 1:66.
For this system of 1st order ODE, y₁' = 4y₁ +2y₂ −2e-²t Y₂'= 3y₁ +3y₂ + 3e¯²¹ € 1:66.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.5: Nonlinear Systems Of Differential Equations
Problem 12E
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I need detailed explanation solving this problem (2.c) from Engineering Mathematics, please.
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Step 1: Write the given system
VIEWStep 2: Write the given system in matrix form and determine the eigenvalues of A
VIEWStep 3: Determine the corresponding eigenvector for the eigenvalue 1
VIEWStep 4: Determine the corresponding eigenvector for the eigenvalue 6 and write the complement function
VIEWStep 5: Take a particular solution of the system using the fundamental matrix
VIEWStep 6: Determine the particular solution
VIEWStep 7: Determine the required particular solution of the system
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