Analyzing Motion of Mechanical System with Initial Conditions

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The discussion focuses on determining the motion equations for a mechanical system with two variables, y1(t) and y2(t), given specific initial conditions. The initial conditions include y1(0) = 1, y2(0) = 2, and their respective derivatives. The system consists of ideal springs and point masses, with the constraint that the masses cannot collide. Gravity influences the system but is not considered in the calculations. Participants are encouraged to share their work or equations to facilitate assistance.
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Determine the motion of this mechanical system-
*Pic attached*

satisfying the initial conditions :-
y1(0) = 1
y2(0) = 2
y1'(0) = -2*sqrt(6)
y2'(0) = sqrt(6)

I need to find equations for y1(t) and y2(t). Please help :D

PS ideal springs, point masses cannot collide, y1 and y2 are the distances of the bottom end of the springs from the top, so that the length of the second spring is y2-y1. As for gravitational effects, gravity pulls on the weights to start the springs moving, but you don't need to deal with gravity in your calculations.
 

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Can anyone help?
 
Can anyone help?
 
No one helps maybe because you did not show us your work so far, equations you know etc.
 

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