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. - 2y - 3y = 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. - 2y' + y =tet + 4, y(0) = 1, y'(0) = 1
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. - 2y - 3y = 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. - 2y' + y =tet + 4, y(0) = 1, y'(0) = 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
solve 10.3
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"+y-2y = 2t, y(0) = 0, y'(0) = 1
10.7. y" - 2y + y = te¹ +4, y(0) = 1, y/(0) = 1
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