Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution. A) y(t) = 2cos t + sinh t– 2cosh t B y (t) = 2sinh t + cosh t- 2cos t y (t) = 2cosh t + sinh t– 2cos t y(t) = 2cosh t + sinh t- 2sin t

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
Consider the following IVP:
y"- y = 4cos t; y(0) = 0, y'(0) = 1
Find the general solution.
A
y (t) = 2cos t + sinh t- 2cosh t
В
y (t) = 2sinht + cosh t- 2cos t
y (t) = 2cosh t + sinh t- 2cos t
y (t) = 2cosh t + sinh t- 2sin t
Transcribed Image Text:Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution. A y (t) = 2cos t + sinh t- 2cosh t В y (t) = 2sinht + cosh t- 2cos t y (t) = 2cosh t + sinh t- 2cos t y (t) = 2cosh t + sinh t- 2sin t
Expert 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,