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Use the method of undetermined coefficients to solve the initial value problem. Oy y = y= y = y = 3 10 3 11 40 11 40 cos2t + cos2t + 11 40 11 -cos2 3 10 3 10®in21 -cos21 - 10 3 y = =cos2t 8 -sin2t 11 40 -sin2t + sin2t + 40 -sin21 + - 1 + 8 3 4 4 1834 1 + + 174273 1 4 2 3 y" + 4y = t′ + 2e , y(0) = 0, y' (0) = 1 = + + + 2 5 ******** Lin 2 t′ + −e'

Use the method of undetermined coefficients to solve the initial value problem. Oy y = y= y = y = 3 10 3 11 40 11 40 cos2t + cos2t + 11 40 11 -cos2 3 10 3 10®in21 -cos21 - 10 3 y = =cos2t 8 -sin2t 11 40 -sin2t + sin2t + 40 -sin21 + - 1 + 8 3 4 4 1834 1 + + 174273 1 4 2 3 y" + 4y = t′ + 2e , y(0) = 0, y' (0) = 1 = + + + 2 5 ******** Lin 2 t′ + −e'

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 75E
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Use the method of undetermined coefficients to solve the initial value problem. O O O O O y = 3 10 3 11 40 11 40 -cos2t -cos2t + cos2t + -cos2t 3 -sin2t 10° 3 10 sin2t + 10 3 y = -cos2t 8 11 40 11 11 40 -sin2t + -sin2t + 40 -sin2t + 118114 3 4 - 1 8 4 + 1 2 y" + 4y = 1² +2e¹, y(0) = 0, y'(0) = 1 +2 WIN ALL 4 1 -1² + 4 + + + 2
Transcribed Image Text:Use the method of undetermined coefficients to solve the initial value problem. O O O O O y = 3 10 3 11 40 11 40 -cos2t -cos2t + cos2t + -cos2t 3 -sin2t 10° 3 10 sin2t + 10 3 y = -cos2t 8 11 40 11 11 40 -sin2t + -sin2t + 40 -sin2t + 118114 3 4 - 1 8 4 + 1 2 y" + 4y = 1² +2e¹, y(0) = 0, y'(0) = 1 +2 WIN ALL 4 1 -1² + 4 + + + 2
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