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A. Determine the general solution for each given higher order differential equation or particular solution for a given IVP or BVP. Write your solutions as neatly as possible. Show computations (e.g. factoring, synthetic division) for the roots of the auxiliary equation. 1. y(4) + 3y" + 2y = 0 2. (D² +16)³ (D² + 4D − 5)²(D² + 2D - 3)¹z = 0, Dz = 3. y" + y = 0, y'′(0) = 0, y¹ (7) = 2 dz dx 4. y" - 2y + 2y = e² (cosx-3 sin x) (undetermined coefficients) 5. 3y" - 6y +6y=e* secx (variation of parameters)

A. Determine the general solution for each given higher order differential equation or particular solution for a given IVP or BVP. Write your solutions as neatly as possible. Show computations (e.g. factoring, synthetic division) for the roots of the auxiliary equation. 1. y(4) + 3y" + 2y = 0 2. (D² +16)³ (D² + 4D − 5)²(D² + 2D - 3)¹z = 0, Dz = 3. y" + y = 0, y'′(0) = 0, y¹ (7) = 2 dz dx 4. y" - 2y + 2y = e² (cosx-3 sin x) (undetermined coefficients) 5. 3y" - 6y +6y=e* secx (variation of parameters)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please follow the instructions and solved no. 5 only. Thank you.

A. Determine the general solution for each given higher order differential equation or particular solution for a given IVP or BVP. Write your solutions as neatly as possible. Show computations (e.g. factoring, synthetic division) for the roots of the auxiliary equation. 1. y(4) + 3y" + 2y = 0 2. (D² +16)³ (D² + 4D − 5)²(D² + 2D - 3)¹z = 0, Dz = 3. y" + y = 0, y'′(0) = 0, y¹ (7) = 2 dz dx 4. y" - 2y + 2y = e² (cosx-3 sin x) (undetermined coefficients) 5. 3y" - 6y +6y=e* secx (variation of parameters)
Transcribed Image Text:A. Determine the general solution for each given higher order differential equation or particular solution for a given IVP or BVP. Write your solutions as neatly as possible. Show computations (e.g. factoring, synthetic division) for the roots of the auxiliary equation. 1. y(4) + 3y" + 2y = 0 2. (D² +16)³ (D² + 4D − 5)²(D² + 2D - 3)¹z = 0, Dz = 3. y" + y = 0, y'′(0) = 0, y¹ (7) = 2 dz dx 4. y" - 2y + 2y = e² (cosx-3 sin x) (undetermined coefficients) 5. 3y" - 6y +6y=e* secx (variation of parameters)
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