3 Find the solution of the differential equation (D° + 8D° + 16D)y = 0 y = C, + (C2 + C3x)cos C + (C2 + C3X)cos А. С. 3x + (C4 + C5X)sin 3x 2x + (C4 + C3X)sin 2x y = C + (C2 + C3x?)cos C, + (C2 + C3x²)cos В. D. 2x + (C4 + C5x²)sin 2x 3x + (C4 + C5x²)sin 3x
3 Find the solution of the differential equation (D° + 8D° + 16D)y = 0 y = C, + (C2 + C3x)cos C + (C2 + C3X)cos А. С. 3x + (C4 + C5X)sin 3x 2x + (C4 + C3X)sin 2x y = C + (C2 + C3x?)cos C, + (C2 + C3x²)cos В. D. 2x + (C4 + C5x²)sin 2x 3x + (C4 + C5x²)sin 3x
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 the following Differential Equation using any of the following method:
-Integrating Factors by Inspection.
-Coefficient Linear in 2 Variables
-Solution of DE using Substitution
Select the letter of the correct answer. (Show complete solution)
Transcribed Image Text:3
Find the solution of the differential equation (D° + 8D° + 16D)y
= 0
y = C, + (C2 + C3x)cos
C + (C2 + C3X)cos
y =
С.
2x + (C4 + C5X)sin 2x
А.
3x + (C4 + C5X)sin 3x
y = C, + (C2 + C3x?)cos
C, + (C2 + C3x²)cos
В.
2x + (C4 + C5x²)sin 2x
D.
3x + (C4 + C5x²)sin 3x
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