(-3y{(x)+4y,(x)– y; (x)+2y,(x)+6x-3–4sin(x)= 0 | 2y{(x)– 3y (x)– y;(x)– 4x+2+3sin(x) = 0 Let a first-order linear differential equation system with two unknowns be given. 2)Obtain the solution of the homogeneous part of the normal form system in question by the method of eigenvalues and eigenvectors.

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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S-3y{(x)+4y (x)– y;(x)+2y, (x)+ 6x -3-4sin(x)=0
2y{(x)– 3y (x)- y,(x)- 4x+2+3 sin(x)=0
Let a first-order linear differential equation system with two
unknowns be given.
2)Obtain the solution of the homogeneous part of the normal form system in
question by the method of eigenvalues and eigenvectors.
Transcribed Image Text:S-3y{(x)+4y (x)– y;(x)+2y, (x)+ 6x -3-4sin(x)=0 2y{(x)– 3y (x)- y,(x)- 4x+2+3 sin(x)=0 Let a first-order linear differential equation system with two unknowns be given. 2)Obtain the solution of the homogeneous part of the normal form system in question by the method of eigenvalues and eigenvectors.
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