y" + 8y'+ 16y=0 3y" + 2y'+y=0 ✓y""'-4y" - 5y'=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Please match all. ty!

QUESTION 1
Find the solution to the given differential equation.
✓y" + 8y'+ 16y=0
✓3y" + 2y'+y=0
y"-4y" - 5y'=0
y""+12y " + 36y'=0; y (0) = 0; y'(0) = 1;y " (0) = -7
✓y""+y" - 2y = 0
- 4y' - 5y=0; y (1) = 0; y'( 1) = 2
A.
B.
y =
y =
3
5
36
- (1-1)
C.y=c,
D₁y=c₁₂e²
5
36
e
+-e
3
- 6x
1
+ xe
6
+c₁₂e-x² + c²₂
5 (t-1)
5x
-6x
- 4x
+c
E.y=c₁e¹+e-¹(c₂cost+c_sint)
F.
y=-7 (0,0₁x+c_sin x)
3
Transcribed Image Text:QUESTION 1 Find the solution to the given differential equation. ✓y" + 8y'+ 16y=0 ✓3y" + 2y'+y=0 y"-4y" - 5y'=0 y""+12y " + 36y'=0; y (0) = 0; y'(0) = 1;y " (0) = -7 ✓y""+y" - 2y = 0 - 4y' - 5y=0; y (1) = 0; y'( 1) = 2 A. B. y = y = 3 5 36 - (1-1) C.y=c, D₁y=c₁₂e² 5 36 e +-e 3 - 6x 1 + xe 6 +c₁₂e-x² + c²₂ 5 (t-1) 5x -6x - 4x +c E.y=c₁e¹+e-¹(c₂cost+c_sint) F. y=-7 (0,0₁x+c_sin x) 3
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,