Answered: y" – 4y = 5e*. (a) Find a fundamental… | bartleby

Algebra & Trigonometry with Analytic Geometry

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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Consider the non-homogenous equation

y/" – 4y = 5e3x.
(a) Find a fundamental set {y1, Y2} of y'" – 4y = 0.
(b) Compute the Wronskian of the fundamental set you found in (a).
(c) The method of variation of parameters gives a particular solution in the form
Yp = Yıui + y2U2
Solve for u1(x) and u2(x).
(d) Find the general solution by adding the complementary solution and the par-
ticular solution y = yc + Yp-

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