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Evaluate their Wronskian and determine if solutions you found are the fundamental set of solutions. (b) Now express the system as a first order differential equation x' = A x, where A is given by A = ( ) Find the similarity transformation matrix Tand diagonalize A. Find the Fundamental matrix for this system.

Evaluate their Wronskian and determine if solutions you found are the fundamental set of solutions. (b) Now express the system as a first order differential equation x' = A x, where A is given by A = ( ) Find the similarity transformation matrix Tand diagonalize A. Find the Fundamental matrix for this system.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(a) Find the general solution of the following system of equations. x = ( )* Evaluate their Wronskian and determine if solutions you found are the fundamental set of solutions. (b) Now express the system as a first order differential equation x' = Ax, where A is given by A = ( ) Find the similarity transformation matrix Tand diagonalize A. Find the Fundamental matrix for this system.
Transcribed Image Text:(a) Find the general solution of the following system of equations. x = ( )* Evaluate their Wronskian and determine if solutions you found are the fundamental set of solutions. (b) Now express the system as a first order differential equation x' = Ax, where A is given by A = ( ) Find the similarity transformation matrix Tand diagonalize A. Find the Fundamental matrix for this system.
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