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One complex-valued solution is
We can write Hence x Therefore the general solution is
Other combinations are also possible.
24 . The characteristic equation of the system is
, with eigenvalues
reveal that a corresponding eigenvector is
we obtain the system of equations . For , simple calculations
, A corresponding eigenvector is Hence one solution is
x Another solution, which is complex-valued, is given by ________________________________________________________________________
page 396 —————————————————————————— CHAPTER 7. —— x Using the real and imaginary parts of x , the general solution is constructed as
x . Let x . The solution can be written as
x With x , the solution of the initial value problem is
page 397 —————————————————————————— CHAPTER 7. —— 25 . Based on Probs. With of Secti...
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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-West Lafayette.
- Spring '08