Claim. If r> 1 and 2 E N., then N, - {x} ~ N₁_1. Proof: We have N, - (N-1- {x}) U {x}. Since N, 1- {x} and {x} are disjoint, = N₁ = (N-1- {a}) U{r} = N₂-1- {x} + {x} Since N {x}= = and therefore, N, - {x} ~ N-1. " we have N.1- {x}= , =
Claim. If r> 1 and 2 E N., then N, - {x} ~ N₁_1. Proof: We have N, - (N-1- {x}) U {x}. Since N, 1- {x} and {x} are disjoint, = N₁ = (N-1- {a}) U{r} = N₂-1- {x} + {x} Since N {x}= = and therefore, N, - {x} ~ N-1. " we have N.1- {x}= , =
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
Plz solve correctly
Transcribed Image Text:Claim. If r> 1 and 2 EN,, then N, - {x}~ N-1.
a
Proof: We have N, = (N-1 - {x}) U {x}. Since Nr 1 - {x} and {*} are disjoint,
-
N, (N-1- {2}) U {x}
= N₂-1- {x} + {x}
=
Since N
{x} =
, and therefore, N, - {x}~ N, 1.
we have N₁1 - {x} =
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 11 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,
