Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
y(3) + 9y' = 0; y(0) = 3, y'(0) = –1, y"(0) = 2; y1 = 1,

y(3) + 9y' = 0; y(0) = 3, y'(0) = –1, y"(0) = 2; y1 = 1,

Advanced Engineering Mathematics
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
icon
Related questions
Question

Differential Equations

Please answer number 17

In Problems 13 through 20, a third-order homogeneous linear equation and three linearly independent solutions are given. Find a particular solution satisfying the given initial condi- tions. 13. y(3) +2y" – y' – 2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; -2x x- e У1 — е*, у2 3е *, уз — е 14. y(3) – 6y" +11y' – 6y = 0; y(0) = 0, y' (0) = 0, y"(0) = 3; yi = e*, y2 = e2x , y3 = e3x 15. y(3) – 3y" + 3y' – y = 0; y(0) = 2, y'(0) = 0, y"(0) = 0; yi = e*, y2 = xe*, 16. у (3) — 5y" + 8y' - 4y %3 0%;B у(0) — 1, у'(0) — 4, у" (0) — 0%; - - || y3 = x²e* || || 2х yi = e^, y2 = **, уз — хе2x || 17. y(3) + 9y' = 0; y(0) = 3, y'(0) = –1, y"(0) = 2; yı = 1, = sin 3x У2 —D cos 3х, уз 18. у(3) — Зу" + 4y'— 2у %3D 0%; у (0) —3D1, у' (0) — 0, у" (0) — 0; yi = e*, y2 = e* cos x, y3 = e* sin x. ||
Transcribed Image Text:In Problems 13 through 20, a third-order homogeneous linear equation and three linearly independent solutions are given. Find a particular solution satisfying the given initial condi- tions. 13. y(3) +2y" – y' – 2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; -2x x- e У1 — е*, у2 3е *, уз — е 14. y(3) – 6y" +11y' – 6y = 0; y(0) = 0, y' (0) = 0, y"(0) = 3; yi = e*, y2 = e2x , y3 = e3x 15. y(3) – 3y" + 3y' – y = 0; y(0) = 2, y'(0) = 0, y"(0) = 0; yi = e*, y2 = xe*, 16. у (3) — 5y" + 8y' - 4y %3 0%;B у(0) — 1, у'(0) — 4, у" (0) — 0%; - - || y3 = x²e* || || 2х yi = e^, y2 = **, уз — хе2x || 17. y(3) + 9y' = 0; y(0) = 3, y'(0) = –1, y"(0) = 2; yı = 1, = sin 3x У2 —D cos 3х, уз 18. у(3) — Зу" + 4y'— 2у %3D 0%; у (0) —3D1, у' (0) — 0, у" (0) — 0; yi = e*, y2 = e* cos x, y3 = e* sin x. ||
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
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,
SEE MORE TEXTBOOKS