How can I prove that every solution of x'= f(x) is trivial or regular?

timer Asked: May 12th, 2013

Question description

How can I prove that every solution of x'= f(x) (x is a function from an open interval to R^n) is trivial or regular? NOTE Note that we have to prove that a solution of an ODE of this form hasn't singularities, except in the trivial solution. f is a C^1 class function. Regular in this context means f(x) different than zero for each x. Trivial in this context meansf(x)=0 for each x.

Tutor Answer

(Top Tutor) Studypool Tutor
School: Rice University
Studypool has helped 1,244,100 students
flag Report DMCA
Similar Questions
Hot Questions
Related Tags

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors