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In: Advanced Math

Use eigenvalue-eigenvector method to solve the systems, write the exact solutions and sketch the trajectories of...

Use eigenvalue-eigenvector method to solve the systems, write
the exact solutions and sketch the trajectories of the systems, indicating stability
and direction of motion with increasing ?.
1. x'=-2y
y'=x+3y
2. x'=x-2y
y'=-4x-y
3. x'=-10x+4y
y'=-3x-2y
4. x'=-2x-2y
y'=x
5. x'=-y
y'=x+2y

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