Second Order Linear Differential Equations
... y1 and y2 are constant multiples of each other. The question as to whether or not one function is a multiple of another function and the consequences of this are of fundamental importance in differential equations and in linear algebra. In this sub-section we are dealing with functions in general, n ...
... y1 and y2 are constant multiples of each other. The question as to whether or not one function is a multiple of another function and the consequences of this are of fundamental importance in differential equations and in linear algebra. In this sub-section we are dealing with functions in general, n ...
A NOTE ON THE METHOD OF MULTIPLE SCALES*
... undesirable traits of the approximate solution. To a certain extent the choice of undesirable traits that one removes may be subjective. In the foregoing example there was only one inadequacy, the secular frequency, so the choice was obvious. A second example is the Duffing equation ii + oj2u + eu3 ...
... undesirable traits of the approximate solution. To a certain extent the choice of undesirable traits that one removes may be subjective. In the foregoing example there was only one inadequacy, the secular frequency, so the choice was obvious. A second example is the Duffing equation ii + oj2u + eu3 ...
![Elliptic curves with Q( E[3]) = Q( ζ3)](http://s1.studyres.com/store/data/012817289_1-48789e28be1e09d726c6f57e08e36eee-300x300.png)
Elliptic curves with Q( E[3]) = Q( ζ3)
... Let P ∈ A(k). We denote by Mk the set of the places v ∈ k and by kv the completion of k at the valuation v. We consider the following question: PROBLEM: Suppose for all but finitely many v ∈ Mk , there exists Dv ∈ A(kv ) such that P = qDv , where q is a positive integer. Is it possible to conclude t ...
... Let P ∈ A(k). We denote by Mk the set of the places v ∈ k and by kv the completion of k at the valuation v. We consider the following question: PROBLEM: Suppose for all but finitely many v ∈ Mk , there exists Dv ∈ A(kv ) such that P = qDv , where q is a positive integer. Is it possible to conclude t ...
