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dx T 3.y" + y = 0, y(0) = 0, y | 4. y" - 2y' + 2y = er(cosx - 3 sinx) (undetermined coefficients) = 2

dx T 3.y" + y = 0, y(0) = 0, y | 4. y" - 2y' + 2y = er(cosx - 3 sinx) (undetermined coefficients) = 2

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please follow the instructions and solved 3 and 4 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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