Write the system of differential equations dr = -x + 2y. dt dy -4x + 5y dt in a matrix form, compute exp(At), where A is the matrix of equation coefficients, and use this matrix exponential to find the solution of the system subject to the initial conditions (0) = 8, y(0) = -4.
Write the system of differential equations dr = -x + 2y. dt dy -4x + 5y dt in a matrix form, compute exp(At), where A is the matrix of equation coefficients, and use this matrix exponential to find the solution of the system subject to the initial conditions (0) = 8, y(0) = -4.
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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