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2. Write the system of differential equations dar - 2r+y. dt du <-5a-2y 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) = 2, y(0)=-1.

2. Write the system of differential equations dar - 2r+y. dt du <-5a-2y 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) = 2, y(0)=-1.

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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Please solve the differential equation question with solutions thank you.

2. Write the system of differential equations dx 2+y, - dt dy 5x – 2y 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) = 2, y(0) = -1.
Transcribed Image Text:2. Write the system of differential equations dx 2+y, - dt dy 5x – 2y 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) = 2, y(0) = -1.
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