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Consider the ODE x = 2-3x with initial condition x(to) = 1 and to = 0. What is the value of the state x when t = 2? Estimate when the system will decay to a constant value using the time constant of the system (i.e., after 4 time constants)?

Consider the ODE x = 2-3x with initial condition x(to) = 1 and to = 0. What is the value of the state x when t = 2? Estimate when the system will decay to a constant value using the time constant of the system (i.e., after 4 time constants)?

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Problem Consider the ODE x = 2-3x with initial condition x(to) = 1 and to = 0. What is the value of the state x when t = 2? Estimate when the system will decay to a constant value using the time constant of the system (i.e., after 4 time constants)? 4
Transcribed Image Text:Problem Consider the ODE x = 2-3x with initial condition x(to) = 1 and to = 0. What is the value of the state x when t = 2? Estimate when the system will decay to a constant value using the time constant of the system (i.e., after 4 time constants)? 4
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