10.7. y" - 2y + y = te' +4, y(0) = 1, y/(0) = 1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 54E
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Question
solve 10.7
![10 The Method of Undetermined Coefficients
See also: Section 3.5 in Boyce and DiPrima or 2.5 in Braun
Use the method of undetermined coefficients to find the solution of the folowing differential
equations.
10.1. y2y3y = 3e²t
10.2. y' + 2y = 3 + 4 sin 2t
10.3. y' +9y²e³t+6
10.4. y' + 2y + y = 2e-t
10.5. y' +y = 3 sin 2t + t cos 2t
10.6. y"+y2y = 2t, y(0) = 0, y'(0) = 1
10.7. y'- 2y +y = tet + 4, y(0) = 1, y (0) = 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56b9ddaf-a5b9-4606-96af-f9c7010351c4%2Fd99fbacd-c572-46e0-8c14-7ccfd832b130%2Ft6u1pq_processed.png&w=3840&q=75)
Transcribed Image Text:10 The Method of Undetermined Coefficients
See also: Section 3.5 in Boyce and DiPrima or 2.5 in Braun
Use the method of undetermined coefficients to find the solution of the folowing differential
equations.
10.1. y2y3y = 3e²t
10.2. y' + 2y = 3 + 4 sin 2t
10.3. y' +9y²e³t+6
10.4. y' + 2y + y = 2e-t
10.5. y' +y = 3 sin 2t + t cos 2t
10.6. y"+y2y = 2t, y(0) = 0, y'(0) = 1
10.7. y'- 2y +y = tet + 4, y(0) = 1, y (0) = 1
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