Consider the equation y′.The eigenvalues of the matrix A are λ1 = 3 and λ2 = 1 and the corresponding eigenvectors v1 and v2.Determine the private solution of the equation that satisfies the initial condition y(0). Tarkastellaan yhtälöä[5y'у,У —-8ominaisarvot ovat A = 3 ja X2 = 1 ja näitä vastaavat ominaisvektorit-1Matriisin A =1ja v2 =V1 =11Määrää yhtälön yksityisratkaisu, joka toteuttaa alkuehdon y(0) :Yksityisratkaisu:Y1 (t)Y2 (t):

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Tarkastellaan yhtälöä [5 y' у, У — -8 ominaisarvot ovat A = 3 ja X2 = 1 ja näitä vastaavat ominaisvektorit -1 Matriisin A = 1 ja v2 = V1 = 1 1 Määrää yhtälön yksityisratkaisu, joka toteuttaa alkuehdon y(0) : Yksityisratkaisu: Y1 (t) Y2 (t):

Tarkastellaan yhtälöä [5 y' у, У — -8 ominaisarvot ovat A = 3 ja X2 = 1 ja näitä vastaavat ominaisvektorit -1 Matriisin A = 1 ja v2 = V1 = 1 1 Määrää yhtälön yksityisratkaisu, joka toteuttaa alkuehdon y(0) : Yksityisratkaisu: Y1 (t) Y2 (t):

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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