Find the general solution of the differential equation π y" + 4y = 13 sec² (2t), 0 < t < 4 NOTE: Use C₁ and C₂ as arbitrary constants, and enter an exact answer. y(t) =C₁ cos(2 t) + C₂ sin(2 t) - . 13 13 + sin (2 t) In sec(2 t) + tan(2 t)| 4 4

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

show complete solution on paper

Find the general solution of the differential equation
π
y" + 4y = 13 sec²(2t), 0 < t < 1/
4
NOTE: Use C₁ and C₂ as arbitrary constants, and enter an exact answer.
y(t) = C₁ cos(2 t) + C₂ sin(2 t)
13
13
+ sin (2 t) In sec(2 t) + tan(2 t)|
4 4
✓
Transcribed Image Text:Find the general solution of the differential equation π y" + 4y = 13 sec²(2t), 0 < t < 1/ 4 NOTE: Use C₁ and C₂ as arbitrary constants, and enter an exact answer. y(t) = C₁ cos(2 t) + C₂ sin(2 t) 13 13 + sin (2 t) In sec(2 t) + tan(2 t)| 4 4 ✓
Expert Solution
steps

Step by step

Solved in 3 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,