rewrite the folowing second order linear equation into a system of two equations. y'' + 5y' - 6y = 0 a) show that both the given equation and a new system have the same characteristic equation. b) find the system's general solution.

Elementary Linear Algebra (MindTap Course List)
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Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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rewrite the folowing second order linear equation into a system of two equations.

y'' + 5y' - 6y = 0

a) show that both the given equation and a new system have the same characteristic equation.

b) find the system's general solution.

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