Q:Solution of non-homogeneous linear DE with constant coefficients? 10) y" oy=(sin ct + cos ex), y(0) = y'(0) = 0. (sin ot +cos ex) + -(sin ex -cosex) 40 sin ex. 4o Ans.: y = 1

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
Q:Solution of non-homogeneous linear
DE with constant coefficients?
10) y"o y=r(sin ox + cosex),
y(0) = y'(0) 0.
y3r(sir
Ans.: y =
-(sinor +cos ex) +
(sin ox-cosex)-
40
„sinex
4o
1
11) y"-y=-
(1+e ")
Ans.: y=Ce +Ce +e "Inl +e")-
2(1 +e") 21+e')
Transcribed Image Text:Q:Solution of non-homogeneous linear DE with constant coefficients? 10) y"o y=r(sin ox + cosex), y(0) = y'(0) 0. y3r(sir Ans.: y = -(sinor +cos ex) + (sin ox-cosex)- 40 „sinex 4o 1 11) y"-y=- (1+e ") Ans.: y=Ce +Ce +e "Inl +e")- 2(1 +e") 21+e')
Expert Solution
steps

Step by step

Solved in 6 steps

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,