No written by hand solution Suppose[Y21are solutions of the homogeneous systemand defineУ1 =Y11Yand Y2 =y' = A(t)y,=- [3911Y12Y21 Y22[Y12Y22(a) Show that Y' = AY.(b) Show that if c is a constant vector then y = Yc is a solution of (A).(c) State generalizations of (a) and (b) for n x n systems.(A)

If y1=y11y21, y2=y12y22 are solutions of homogeneous system y'=A(t)y. And Y=Ay11y12y21y22. (a) To…

Answered: Y11 Y21 ions of the homogeneous system…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 43E

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Y11 Y21 ions of the homogeneous system ne У1 = and Y = y' = A(t)y, · [ Y11 y2 = Y21 Y12 Y22 Y12 Y22