Solve the given differential equation. x²y" + 8 x y' + 6 y = 0 O y = C1x=l + C2x-6 O y = C1x + C2x° O y = C1x + C2x-6 O y = C\x-l + C2 x°

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Solve the given differential equation.
x²y" + 8 x y + 6 y = 0
O y = C1x=l + C2x-6
O y = C1x + C2x
O y = C1x + C2x-6
O y = C1x¬l + C2 x6
Transcribed Image Text:Solve the given differential equation. x²y" + 8 x y + 6 y = 0 O y = C1x=l + C2x-6 O y = C1x + C2x O y = C1x + C2x-6 O y = C1x¬l + C2 x6
Write the solution of the given initial- value problem in form,
x (t) = A sin(ot + ¢).
x" + x = 0
x (0)
-4 , x' (0) = 3
O x (t) = sin(t + 0.927)
O x (t) = 5 sin(t – 0.927)
O x (t) = 5 sin(t + 0.927)
%3D
O x (t) = sin(t – 0.927)
Transcribed Image Text:Write the solution of the given initial- value problem in form, x (t) = A sin(ot + ¢). x" + x = 0 x (0) -4 , x' (0) = 3 O x (t) = sin(t + 0.927) O x (t) = 5 sin(t – 0.927) O x (t) = 5 sin(t + 0.927) %3D O x (t) = sin(t – 0.927)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 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,