I'm having some difficulties figuring out how to linearize second order differential equations for a double pendulum.(adsbygoogle = window.adsbygoogle || []).push({});

I have an equation that is in the form of

[itex]\theta_{1}''[/itex][itex]\normalsize = function[/itex] [[itex]\theta_{1}[/itex],[itex]\theta_{2}[/itex],[itex]\theta_{1}'[/itex],[itex]\theta_{2}'[/itex]]

(The original equation is found at http://www.myphysicslab.com/dbl_pendulum.html, the equations inside the orange rectangle.)

I was told to replace that function by a linear function of all four variables but I don't know where to start with that since the original equation is much more complex than the simple pendulum example we were given.

Thank you!

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# Linearization of Second Order Differential Equations

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