Use variation of parameters to find a general solution to the differential equation given that the functions y₁ and y2 are linearly independent solutions to the corresponding homogeneous equation for t> 0. ty' + (6t-1)y' - 6y=7t² e 6t 1 Y₁ = 6t-1, Y₂ = e-6t COL A general solution is y(t) = c₁ (6t-1) + C₂ e - 6t 7 216 (181²-1)
Use variation of parameters to find a general solution to the differential equation given that the functions y₁ and y2 are linearly independent solutions to the corresponding homogeneous equation for t> 0. ty' + (6t-1)y' - 6y=7t² e 6t 1 Y₁ = 6t-1, Y₂ = e-6t COL A general solution is y(t) = c₁ (6t-1) + C₂ e - 6t 7 216 (181²-1)
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
Differential equations-
Help with the question because both answers are incorrect please thank you
![Use variation of parameters to find a general solution to the differential equation given that the functions y₁ and y₂ are linearly independent solutions to the
corresponding homogeneous equation for t> 0.
ty' + (6t-1)y' -6y=7t² e-6t.
Y₁ 6t-1,
- 6t
Y₂ = e
A general solution is y(t) = c₁ (6t-1) + C₂ e
- 6t
216 (18t²-1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbba0909-7b4f-4e80-8e24-06dfda2d061e%2F3fc0111f-8ede-4910-91de-51d53ccababd%2Fzjn2wgv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use variation of parameters to find a general solution to the differential equation given that the functions y₁ and y₂ are linearly independent solutions to the
corresponding homogeneous equation for t> 0.
ty' + (6t-1)y' -6y=7t² e-6t.
Y₁ 6t-1,
- 6t
Y₂ = e
A general solution is y(t) = c₁ (6t-1) + C₂ e
- 6t
216 (18t²-1)
![Use variation of parameters to find a general solution to the differential equation given that the functions y, and y2 are linearly independent solutions to the
corresponding homogeneous equation for t> 0.
ty'"' + (6t-1)y' -6y=7t² e-6t.
Y₁ = 6t-1,
V/₂=e-6t
C
7
7
- 6t
A general solution is y(t) = c₁ (6t-1) + C₂ e
31 (21² - ²) (0-2)
(6t-1)-
1296
36
A
+
(-6e-6₁-e
6t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbba0909-7b4f-4e80-8e24-06dfda2d061e%2F3fc0111f-8ede-4910-91de-51d53ccababd%2Fygfv53y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use variation of parameters to find a general solution to the differential equation given that the functions y, and y2 are linearly independent solutions to the
corresponding homogeneous equation for t> 0.
ty'"' + (6t-1)y' -6y=7t² e-6t.
Y₁ = 6t-1,
V/₂=e-6t
C
7
7
- 6t
A general solution is y(t) = c₁ (6t-1) + C₂ e
31 (21² - ²) (0-2)
(6t-1)-
1296
36
A
+
(-6e-6₁-e
6t
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 2 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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)