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.

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Write the system of differential equations
dz
= -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.
Transcribed Image Text:Write the system of differential equations dz = -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.
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