12y Consider the differential equation xy" – y' = (1) Making the changes of variable x=e', y = u(t)e 2" in the differential equation (1), we obtain the differential equation, u depending on t, given by u"-6u'-4u = 0 The solution of the differential equation (1), depending on the parameter t, with constant c1 and C2, is given by: a) { z(1) y(t) et e* (cı cos(tv/13) + c2 sen(t/13)) S ¤(t) et b) | y(t) et (cietvi3 + cze-tV13 S 2(t) = et c) y(t) e3t -t/13 + c2e Į æ(t) et d) l y(t) e' (c1 cos(tv/13) + C2 sen(tv/13))
12y Consider the differential equation xy" – y' = (1) Making the changes of variable x=e', y = u(t)e 2" in the differential equation (1), we obtain the differential equation, u depending on t, given by u"-6u'-4u = 0 The solution of the differential equation (1), depending on the parameter t, with constant c1 and C2, is given by: a) { z(1) y(t) et e* (cı cos(tv/13) + c2 sen(t/13)) S ¤(t) et b) | y(t) et (cietvi3 + cze-tV13 S 2(t) = et c) y(t) e3t -t/13 + c2e Į æ(t) et d) l y(t) e' (c1 cos(tv/13) + C2 sen(tv/13))
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
(Please solve by hand)
Transcribed Image Text:12y
Consider the differential equation xy" – y' =
(1)
Making the changes of variable x=e', y = u(t)e-2t in the differential equation (1), we obtain the
%3D
differential equation, u depending on t, given by u"-6u'-4u = 0
The solution of the differential equation (1), depending on the parameter t, with constant ci and
C2, is given by:
a)
Į ¤(t)
et
y(t)
ešt (cı cos(t/13) + c2
sen(tv/13))
S #(t)
b)
et
| y(t)
e (cretVB
+ Cze¯tV13
S¤(t)
et
c)
y(t)
3t
/13
+ C2e¬tV13
e°
Į ¤(t)
et
d)
y(t)
e' (c1 cos(tv/13) + C2 sen(tv/13))
Expert Solution
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 3 steps with 3 images
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,
