y" – 10y + 25y Consider the differential equation It is proposed as a particular solution Yp = U(x)e%z + V(x)ze5z system U'(z) y V'(z) satisfy the U'(x) + ¤V'(x) = 0 1 5U'(x) + (5x + 1)V'(x) = 24 where do you get that www a) V(x) = +C with C real constant 1 b) V(æ)= +C, cor with C real constant c) V(x) = 1 +C, 373 WITD C reai constant d) V(z) = 1 +C. c WIO. C reai constant 2x2

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

(Please solve by hand)

y" - 10y + 25y
Consider the differential equation
It is proposed as a particular solution p = U(x)e + V(x)xe5
system
U'(x) y V'(æ)
satisfy the
U'(x) + ¤V'(x) = 0
1
5U'(x) + (5x + 1)V'(x):
%3D
where do you get that
a) V(æ) :
+C with C real constant
b) V(x) :
1
+C, cor with C real constant
c) V(æ) =
1
+C,
373
WItn C reai constant
d) V(æ) =
1
+C. c WO,C reai constant
2x2
Transcribed Image Text:y" - 10y + 25y Consider the differential equation It is proposed as a particular solution p = U(x)e + V(x)xe5 system U'(x) y V'(æ) satisfy the U'(x) + ¤V'(x) = 0 1 5U'(x) + (5x + 1)V'(x): %3D where do you get that a) V(æ) : +C with C real constant b) V(x) : 1 +C, cor with C real constant c) V(æ) = 1 +C, 373 WItn C reai constant d) V(æ) = 1 +C. c WO,C reai constant 2x2
Expert Solution
steps

Step by step

Solved in 2 steps with 1 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,