1. Show that each of the functions on the left is a 3-parameter family of solutions of the DE on its right. a. y = c, + Cze* + : b. y = Ci + Cze* + C3e* + 들y'+y-x-2x%3D0. 9 cos 2x -7 sin 2x Je, y' - y' - e²x sin?x = 0. 12 520

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 27PT: Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and...
Question
1. Show that each of the functions on the left is a 3-parameter family of solutions of the
DE on its right.
a. y = c1 + C2e* + y" +y' - x² - 2x = 0.
b. y = ci + C2e* + C3e* +
9 cos 2x - 7 sin 2x
25)ex, y' - y' - e2x sin?x = 0.
12
520
Transcribed Image Text:1. Show that each of the functions on the left is a 3-parameter family of solutions of the DE on its right. a. y = c1 + C2e* + y" +y' - x² - 2x = 0. b. y = ci + C2e* + C3e* + 9 cos 2x - 7 sin 2x 25)ex, y' - y' - e2x sin?x = 0. 12 520
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