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a force is applied to a 2kg mass (m1). a damper is on the same side of the mass as the force and it is attached to a wall. its value is 4kg/s(b1). a spring is on the opposite side of the mass with a K value of 5(k1). the opposite end of the spring is attached to another mass of 6 kg(m2). on the other side of this mass is a spring with K of 10(k2) and a damper with a value of 4(b2). both the spring and the damper are tied to the wall. im supposed to find a differential equation that relates the output to the input and find the laplace transform of it.

the y values correspond to the position of each mass.

heres what i have so far.

for the first mass:

F = m1*y1'' + b1*y1' + k1*y1 - k2*y2

second mass:

0 = m2*y2'' + b2*y2' - k2*y2 + k1*y1

where do i go from here?