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# The coefficient matrix for a system of linear differential equations of the form y′=Ay has the given eigenvalues and eigenspace bases. Find the genera

Forms of linear equations
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asked 2021-05-01

The coefficient matrix for a system of linear differential equations of the form y&prime;=Ay has the given eigenvalues and eigenspace bases. Find the general solution for the system.
$$\lambda1=2\Rightarrow\{[4,3,1]\},\ \lambda2=-2\Rightarrow \{[1,2,0],[2,3,1]\}$$

## Answers (1)

2021-05-02

$$y1=4c1e^2t+c2e^-2t+2c3e^-2t$$

$$y2=3c1e^2t+2c2e^-2t+3c^-2t$$

$$y3=c1e^2t+x3e^-2t$$

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