Using the method of undetermined coefficients. (a) Solve y" - 2 y - 3y = 2e - 10 sin x, y(0) = 2, y (0) = 4.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 6E
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Using the method of undetermined coefficients.

(a) Solve y" - 2 y - 3y = 2e - 10 sin x, y(0) = 2, y (0) = 4.

(b)Solve y) - 32 y" + 256 y = x² e¹x + e -4 x .

Do not evaluate the constants

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