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Find the general solution of the system of differential equations dx1 -2x1 + x2 dt dæ2 = x1 2x2, dt dX by writing it in matrix form AX and making the change of variables X = PY which diagonalizes the matrix.

Find the general solution of the system of differential equations dx1 -2x1 + x2 dt dæ2 = x1 2x2, dt dX by writing it in matrix form AX and making the change of variables X = PY which diagonalizes the matrix.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q1 Find the general solution of the system of differential equations dx1 = -2x1 + 2 dt dx2 2x2, dt dX AX and making the change of variables X = PY which diagonalizes the matrix. by writing it in matrix form dt
Transcribed Image Text:Q1 Find the general solution of the system of differential equations dx1 = -2x1 + 2 dt dx2 2x2, dt dX AX and making the change of variables X = PY which diagonalizes the matrix. by writing it in matrix form dt
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