! Consider the nonhomogeneous DE: y" + y' – 6y = (12 – 16x)e*. - A) Verify that y, = 4xe* is a particular solution of the DE. B) Find the general solution of the given DE, if e2x and e-3x are both solutions of y" + y - 6y = 0.
! Consider the nonhomogeneous DE: y" + y' – 6y = (12 – 16x)e*. - A) Verify that y, = 4xe* is a particular solution of the DE. B) Find the general solution of the given DE, if e2x and e-3x are both solutions of y" + y - 6y = 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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