In fact ax term by term differentiation results in

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Unformatted text preview: __________________________________ page 403 —————————————————————————— CHAPTER 7. —— Section 7.7 1. The eigenvalues and eigenvectors were found in Prob. , Section , . , The general solution is x Hence a fundamental matrix is given by We now have and , So that 3. The eigenvalues and eigenvectors were found in Prob. , Section solution of the system is . The general x Given the initial conditions x e , we solve the equations , to obtain , . The corresponding solution is x Given the initial conditions x e , we solve the equations , to obtain , . The corresponding solution is ________________________________________________________________________ page 404 —————————————————————————— CHAPTER 7. —— x Therefore the fundamental matrix is 5. The general solution, found in Prob. , Section , is given by x Given the initial conditions x e , we solve the equations , resulting in , . The corresponding solution is x Given the initial conditions x e , we solve the equ...
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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.

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