EXERCISES 4.2 In Problems 1-16 the indicated function VI(x) is a solution of the given differential equation. Use reduction of order or formula (5), as instructed, to find a second solution y2(x). 1. y"-4y' + 4y = 0; yi e2* = e2r %3D YI = %3D 2. y" + 2y' + y 0; y = xe * 3. y" + 16y = 0; y1 = cos 4x %3D 4. y" + 9y 0; y = sin 3x 5. y"-y 0 y = cosh r 6. y"- 25y 0: y =e
EXERCISES 4.2 In Problems 1-16 the indicated function VI(x) is a solution of the given differential equation. Use reduction of order or formula (5), as instructed, to find a second solution y2(x). 1. y"-4y' + 4y = 0; yi e2* = e2r %3D YI = %3D 2. y" + 2y' + y 0; y = xe * 3. y" + 16y = 0; y1 = cos 4x %3D 4. y" + 9y 0; y = sin 3x 5. y"-y 0 y = cosh r 6. y"- 25y 0: y =e
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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Exercises 4.2.
EXERCISES 4.2
In Problems 1-16 the indicated function y(x) is a solution
of the given differential equation. Use reduction of order or
formula (5), as instructed, to find a second solution y,(x).
1. y"- 4y' + 4y 0; yi = e
2. y" + 2y' + y 0; y = xe *
3. y"+ 16y =0; yı = cos 4x
4. y" + 9y 0: y = sin 3x
5. y"-y 0 = cosh x
6. y"- 25y 0: y =e
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