Solve the following homogeneous ODE y- бу + 9у %- 0 with the following initial conditions y(0) = 0 and у (0) - -1 = а. у(x) %3 (1+4х) b. y(x) — (1-4х) е 3х %3D с. у(x) - (1-4х) e* d. y(x) - (1+4х) e-3x е. у(x) - (1-4х) е3х %3D д. others

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
I need the answer as soon as possible
Solve the following homogeneous
ODE
y/ - 6y + 9y = 0
with the following initial conditions
У (0) - 0
and
у (0) - -1
а. у(x) 3 (1+4x)
b. у(x) - (1-4х) е 3х
%3D
с. у(x) — (1-4х) e*
d. y(x) - (1+4х) е 3х
е. у(х) 3 (1-4х) е3x
f. y(x) = (1-4x)
g. others
h. у(x) — (1-х) е3x
Transcribed Image Text:Solve the following homogeneous ODE y/ - 6y + 9y = 0 with the following initial conditions У (0) - 0 and у (0) - -1 а. у(x) 3 (1+4x) b. у(x) - (1-4х) е 3х %3D с. у(x) — (1-4х) e* d. y(x) - (1+4х) е 3х е. у(х) 3 (1-4х) е3x f. y(x) = (1-4x) g. others h. у(x) — (1-х) е3x
Expert Solution
steps

Step by step

Solved in 3 steps with 2 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,