Transcription of 1.2 Second-order systems - MIT OpenCourseWare
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Second-order systems 25 if the initial fluid height is defined as h(0) = h0, then the fluid height as a function of time varies as h(t) = h0e t g/RA [m]. ( ) Second-order systems In the previous sections, all the systems had only one energy storage element, and thus could be modeled by a first- order differential equation. In the case of the mechanical systems , energy was stored in a spring or an inertia. In the case of electrical systems , energy can be stored either in a capacitance or an inductance. In the basic linear models considered here, thermal systems store energy in thermal capacitance, but there is no thermal equivalent of a second means of storing energy. That is, there is no equivalent of a thermal inertia.
1.2 Second-order systems In the previous sections, all the systems had only one energy storage element, and thus could be modeled by a first-order differential equation.
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Second Order Differential Equations, Chapter 2 Second Order Differential Equations, Order Linear Ordinary Differential Equations, Equations, Order, Second, Order differential, NUMERICALSOLUTIONOF ORDINARYDIFFERENTIAL, NUMERICALSOLUTIONOF ORDINARYDIFFERENTIAL EQUATIONS, Order differential equations, DIFFERENTIAL EQUATIONS, Reduction of Order, Order Equations, Differential, Special Second Order Equations Sect, Special Second order, Second order, Second order differential, For Linear Systems of Differential Equations, Second order equations{Undetermined, Applications of Di erential Equations