Answered: 5. y" + 16y= 0; y₁ = cos 4x 6. y" +9y =…

5. y" + 16y= 0; y₁ = cos 4x 6. y" +9y = 0; y₁ = sin 3x 7. y" - y = 0; y₁ = cosh x 8. y" - 25y = 0; y₁ = ex 9. 9y" — 12y' + 4y = 0; y₁ = e2x/3

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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Question

In Problems 1-30 find a second solution of each differential equation. Use reduction of order or formula (4) as instructed. Assume an appropriate interval of validity. Can someone help me answer 5 and 9

5. y" + 16y= 0; y₁ = cos 4x
6. y" +9y = 0; y₁ = sin 3x
7. y" - y = 0; y₁ = cosh x
8. y" - 25y = 0; y₁ = ex
9. 9y" - 12y' + 4y = 0; y₁ = e2x/3

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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