Question: solving ODE system

I have the following setup of springs and dampeners:

which gives me the following ode system

combined with initial conditions

if I try to solve this

I get 5+ hours of evaluation with Maple using all available memory and no results since I had to interrupt the process.

I tried a few different approaches which all resulted in errors.

 

I'm not very familiar with Maple as well as talking about mathematics in english, so please don't be too hard on me.

Any help is much appreciated.

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