Kurret
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Im just curious, what is the highest order DE that has come up in physics, or other areas of applied mathematics? So far I have only encounter second orders in physics...
Exploring Orders of Differential Equations in Physics & Maths
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Very high order equations come up, but forth order are particularly common.
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Differential Equations in elasticity, bending of elastic materials typically involves fourth order equations.
karaali
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Using some mathematical manipulations and phsycal assumptions you can reach a sixth order differential equation governs the free vibration of a curved beam.
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