2. Find the solution of the given initial value problem using Method of Undetermined Coefficient (MUC): y(3) – 3y(2) + 2y(1) = 3x² – e2x + sin 2x y(0) = 1,y'(0) = –2, y"(0) = 3 %3D %3D

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

kindly answer asap

2. Find the solution of the given initial value problem using Method of
Undetermined Coefficient (MUC):
y(3) – 3y(2) + 2y(1) = 3x² – e2x + sin 2x
y(0) = 1,y'(0) = -2, y"(0) = 3
Find its general solution of the homogeneous equation: {
a. y. = C1 + cze i+ Cze2x
C. Ye = C1 + Cze* + c3e2x
b. ye = C + cze-* + Cze-2x
d. y. = + e2*(c2 cos(x) + c3 sin(x)
Find its particular solution. -
a. Yp
x. 9x2-39x
x³-e2x 9x²+21x
b. Yp
2
2
3
sin(2x) +cos(2x)
x+e2z, 9x+21x
sin(2x) +
cos(2x)
10
136
136
40
9x²+21x
с. Ур
cos(2x) +sin(2x)
d. Yp
2
4
2
4
sin(2x) +
cos(2x)
40
Find its solution with a given initial value problem i
Transcribed Image Text:2. Find the solution of the given initial value problem using Method of Undetermined Coefficient (MUC): y(3) – 3y(2) + 2y(1) = 3x² – e2x + sin 2x y(0) = 1,y'(0) = -2, y"(0) = 3 Find its general solution of the homogeneous equation: { a. y. = C1 + cze i+ Cze2x C. Ye = C1 + Cze* + c3e2x b. ye = C + cze-* + Cze-2x d. y. = + e2*(c2 cos(x) + c3 sin(x) Find its particular solution. - a. Yp x. 9x2-39x x³-e2x 9x²+21x b. Yp 2 2 3 sin(2x) +cos(2x) x+e2z, 9x+21x sin(2x) + cos(2x) 10 136 136 40 9x²+21x с. Ур cos(2x) +sin(2x) d. Yp 2 4 2 4 sin(2x) + cos(2x) 40 Find its solution with a given initial value problem i
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

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,