Second Order Differential Equations
Hooke’s law, a stretched spring will react with a force F = kx, where x is the displacement of the spring from its unstretched equilibrium. The mass experiences a net for and will accelerate according to Newton’s Sec-ond Law of Motion, F = ma. Setting these forces equal and noting that a = x¨, we have mx¨ +kx = 0. m m k F = kx x
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