This preview shows page 1. Sign up to view the full content.
Unformatted text preview: m is equivalent to the equations Finally, upon setting , The corresponding eigenvector is Hence the general solution is x
Invoking the initial conditions, It follows that , and . Hence the solution of the IVP is x 19. Set x . Substitution into the system of differential equations results in
A which upon simplification yields is, A
must satisfy A
21. Setting x , 0 Hence the vector and constant results in the algebraic equations ________________________________________________________________________
page 373 —————————————————————————— CHAPTER 7. —— .
For a nonzero solution, we must have
the characteristic equation are
. The corresponding eigenvector is
, the system is equivalent to the equation
It follows that
x . The roots of
, the system of equations
. An eigenvector is and x The Wronskian of this solution set is
. Thus the solutions are linearly
. Hence the general solution is
x 22. As shown in Prob. , solution of the ODE requ...
View Full Document
This note was uploaded on 03/11/2014 for the course MA 303 taught by Professor Staff during the Spring '08 term at Purdue University.
- Spring '08