What distinguishes First and Second Order Systems?

AI Thread Summary
First and second order systems are distinguished by their order of derivatives and the number of boundary conditions required for solutions. First order systems have a single highest derivative and typically require one boundary condition, while second order systems involve a second derivative and need two boundary conditions. The assumption that first order systems are single degree of freedom (DOF) and second order systems are two DOF is incorrect; the classification is based on the order of the differential equation. Understanding these distinctions is crucial for analyzing dynamic systems effectively. Clarity on these concepts enhances the ability to solve complex engineering problems.
Jones1987
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What is the difference? I used to assume First order was a Single DOF system and a Second order was a 2 DOF system. Can anyone give me some clarity.

Thanks
 
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nth order systems have an nth order derivative as their highest term and need n boundary conditions to find a solution.
 

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