I have a differential equation to solve below on the motion of an object oscillating in water with a restoring force equal to -Aρgx and a damping force equal to -kv^2.(adsbygoogle = window.adsbygoogle || []).push({});

ma+kv^2+Aρgx=0

K, A, ρ and g are constants and I need to solve the equation for x. a (acceleration). v (velocity). x (displacement from the equilibrium position).

I need a bit of help on this one because I dont know whether it would need a substitution to eliminate v^2.

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# Solving the differential equation of an object oscillating in water.

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