A system with has 2 characteristic modes: exp(-3t) and exp(-5t). What is the zero- input response of the system consider

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answerhappygod
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A system with has 2 characteristic modes: exp(-3t) and exp(-5t). What is the zero- input response of the system consider

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A system with has 2 characteristic modes: exp(-3t) and exp(-5t). What is the zero- input response of the system considering that y(0)=2 and dy(0)/dt = -2 ?
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