(adsbygoogle = window.adsbygoogle || []).push({}); linearise the euqations near each equilibrium point?!?!?

Write each of the following differential equations as two first order equations, find all the equlibrium points, and linearise the equations near each equlibrium point

(a) X.. +x -1/4X^{3}=0

first part done getting X.=y and Y.=-x+1/4X^{3}

second part done getting (0,0) (2,0) and (-2,0)

however i dont even know what the third part means let alone how to do it, assistance required please

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Linearise the euqations near each equilibrium point?

**Physics Forums | Science Articles, Homework Help, Discussion**