Solve - 2y' + 5y = cost y(0) = 1 y'(0) = 1. 1 cos t - 1 y(t) = 2e2t cos t + 3e2t sin t + sin t y(t) = 2e' cos 2t + 3e' sin 2t + 1 cos t - 1 sin t v(t) = e'c 4. cos 2t + 3 e' sin 2t + 20 cont - 1o cost - sin t
Solve - 2y' + 5y = cost y(0) = 1 y'(0) = 1. 1 cos t - 1 y(t) = 2e2t cos t + 3e2t sin t + sin t y(t) = 2e' cos 2t + 3e' sin 2t + 1 cos t - 1 sin t v(t) = e'c 4. cos 2t + 3 e' sin 2t + 20 cont - 1o cost - sin t
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
![Solve
- 2y' + 5y = cost
y(0) = 1
y'(0) = 1.
1
cos t -
1
y(t) = 2e2t cos t + 3e2t sin t +
sin t
y(t) = 2e' cos 2t + 3e' sin 2t +
1
os t -
1
sin t
4.
cos 2t +
3
e' sin 2t +
20
1
y(t) = e'c
Cos t -
sin t
10
y(t) = cje2t + czte2t + cost – sin t
1
cos t -
1
y(t)
8
cost -
sin t +
sin t
y(t) = 2e2t + 3te2t + cost – 4 sint](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22590f24-92e0-4703-8440-5c9c255c1d1c%2F2aed9317-6a14-46da-aaaf-289d1b0a250f%2Fqag9j1u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve
- 2y' + 5y = cost
y(0) = 1
y'(0) = 1.
1
cos t -
1
y(t) = 2e2t cos t + 3e2t sin t +
sin t
y(t) = 2e' cos 2t + 3e' sin 2t +
1
os t -
1
sin t
4.
cos 2t +
3
e' sin 2t +
20
1
y(t) = e'c
Cos t -
sin t
10
y(t) = cje2t + czte2t + cost – sin t
1
cos t -
1
y(t)
8
cost -
sin t +
sin t
y(t) = 2e2t + 3te2t + cost – 4 sint
![22
3
2t
25
y(t)
te2t + 3 cost – 4 sin t
y(t) = c1e' cos 2t + c2e' sin 2t +
1
1
cos t -
sin t
O the correct answer does not appear in this list
3
cost +
4
3
y(t) = 2e2t cost + 3e2t sin t +
sin t
4
11
e2t
25
3
-te2t
25
y(t)
+ cost – 4 sin t
3
-e² sin 2t +
10
1
y(t) =
et cos 2t +
cost -
sin t
12
1
y(t) = e2" cos t +e2t sin t +
1
cost -
sin t
y(t) = 2e2t + 3te2t – cos t – 3 sin t
1
cost -
3
1
sin t
12
y(t) = 2e' cos 2t + 3e' sin 2t +
y(t) = cje2" cos t + c2e2t sint +
Cos t -
sin t
O O](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22590f24-92e0-4703-8440-5c9c255c1d1c%2F2aed9317-6a14-46da-aaaf-289d1b0a250f%2Fo7m0xt_processed.png&w=3840&q=75)
Transcribed Image Text:22
3
2t
25
y(t)
te2t + 3 cost – 4 sin t
y(t) = c1e' cos 2t + c2e' sin 2t +
1
1
cos t -
sin t
O the correct answer does not appear in this list
3
cost +
4
3
y(t) = 2e2t cost + 3e2t sin t +
sin t
4
11
e2t
25
3
-te2t
25
y(t)
+ cost – 4 sin t
3
-e² sin 2t +
10
1
y(t) =
et cos 2t +
cost -
sin t
12
1
y(t) = e2" cos t +e2t sin t +
1
cost -
sin t
y(t) = 2e2t + 3te2t – cos t – 3 sin t
1
cost -
3
1
sin t
12
y(t) = 2e' cos 2t + 3e' sin 2t +
y(t) = cje2" cos t + c2e2t sint +
Cos t -
sin t
O O
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 5 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)