a2 (p 26. For the differential equation yt" + 2y" +y = 5 sint +7cost, given the follwoing solution to homogeneous part, the form of the particular solution is %3D Yn = C,cost + C2sint + C3t cost + C,t sint D+2 cint %3D

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

Q26,27

b) Gevzt + C2e-v
25. The solution to the differential equation y" - 4y = 0
a) Ce2t+ Czte-2t + C3cos(2t)+ C4sin(2t)
b) Gevzt + Cze-vZt
c) Ge2t + Cze-2t + C3cos(2t) + C,sin(2t)
d) Gevit + Cte-vt
+ Czcos(V2t) + C,sin(v2t)
+ Czcos(V2t) + C4sin(v2t)
26. For the differential equation
y" +2y"+y = 5 sin t +7cost , given the follwoing
solution to homogeneous part, the form of the particular
solution is
Yn = C,cost + Czsint + C3t cost + C,t sint
a) At?cost + Bt2sint
b) Atcost + Btsint
c) Acost + Bsint
d) Acost
27. Given the differential equation
y" – 2y" +y = et + 7sint the form of the particular
solution is
a) A et + Btcost + Ctsint
) Atet+Bcost + Csint
) A e' + Bcost + Csint
) At? e' + Bcost + Csint
Transcribed Image Text:b) Gevzt + C2e-v 25. The solution to the differential equation y" - 4y = 0 a) Ce2t+ Czte-2t + C3cos(2t)+ C4sin(2t) b) Gevzt + Cze-vZt c) Ge2t + Cze-2t + C3cos(2t) + C,sin(2t) d) Gevit + Cte-vt + Czcos(V2t) + C,sin(v2t) + Czcos(V2t) + C4sin(v2t) 26. For the differential equation y" +2y"+y = 5 sin t +7cost , given the follwoing solution to homogeneous part, the form of the particular solution is Yn = C,cost + Czsint + C3t cost + C,t sint a) At?cost + Bt2sint b) Atcost + Btsint c) Acost + Bsint d) Acost 27. Given the differential equation y" – 2y" +y = et + 7sint the form of the particular solution is a) A et + Btcost + Ctsint ) Atet+Bcost + Csint ) A e' + Bcost + Csint ) At? e' + Bcost + Csint
Expert Solution
steps

Step by step

Solved in 2 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,