Need help: Use variation of parameters to find the general solution of the following ODE & simplify your answers (a) t² y" + 4t² y' + 4t²y = e−²-2t(b) t²y" — t (t+2) y' + (t + 2)y = 2t³(assume t and tet are solutions of the homogeneous equation)

Answered: Image /qna-images/answer/ff00a315-4ebf-475d-99bd-b2577afd7aaa.jpg

Answered: t² y" + 4t² y' + 4t²y = e-2t

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Solve 6cot0 – 11coto – 10 = 0for 0° < 0 < 180°. O 16.0°, 115.6° O 21.8°, 123.7° O 33.7°, 111.8° O 56.3°, 158.2° O 68.2°, 146.3°
QUESTION 6 Solve for x: 27X=34. Round your answer to three decimal places.
I only need letter B
When there is no wind, a runner is able to run 10 000 m at an average speed of x m/s. When he runs with a tailwind, his average speed increases by 0.05 m/s and it takes him 15 s less to run the 10 000 m. The equation shown below represents this relationship. 10 000 10 000 x+0.05 X = 15, x > 0 6. When there is no wind, find the runner's average speed, to the nearest hundredth of a metre per second.
solution = Give the ODE: general x" + 3x² - 4x of the following
Graph the following equation using reflections and shifts: f(x) = -√√x - 3 For full credit, include the following: 1. A description and order of each reflection and shift 2. The graph showing each step of the process * Student can enter max 3000 characters BIU ΞΩ Use the paperclip button below
Jenny wanted to repaint the walls of a rectangular room in her home. The room is 40 feet long and 26 feet wide with a ceiling 10 feet high. The room has 4 windows (each 4 ft x 6 ft) and 7 doors (each 6 ft x 3 ft). She will not be painting either the ceiling or the doors. A a. What is the square footage Jenny needs to paint? Show your work. Since she plans to paint with a color that is similar to the current color, Jenny thinks she will need only one coat of paint. She looks up information online and finds that one gallon of paint will cover 400 square feet. She has decided she should buy 2 gallons of paint. b. Do you agree or disagree with Jenny’s plan to buy 2 gallons of paint? Show calculations and write a sentence or two to support your argument.

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

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…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

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…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS