help in mass-spring modeling problem

[aows61]

Suppose at time zero, the bob was drawn upward four units from the equilibrium position, let C=2, K=2, m=1 lbm, initial speed=2 unit/sec find an expression for body's position.

and in the solution it says: y''+6y'+5y=0
my question is: from where does the numbers (6) and (5) that is in te above DE came from ?
2. Relevant equations
spring equation:
my''+cy'+ky=f(t)
consider f(t) =0

3. The attempt at a solution
stopped at first because of the first step

 

[ksdhart2]

Suppose at time zero, the bob was drawn upward four units from the equilibrium position, let C=2, K=2, m=1 lbm, initial speed=2 unit/sec find an expression for body's position.

and in the solution it says: y''+6y'+5y=0
my question is: from where does the numbers (6) and (5) that is in te above DE came from ?
2. Relevant equations
spring equation:
my''+cy'+ky=f(t)
consider f(t) =0

3. The attempt at a solution
stopped at first because of the first step

Unless you have some other information to help determine the relationship between the variables C and c, and K and k, then there's no possible way for us to discern where the constants 6 and 5 may have come from.

 

[aows61]

reply

Unless you have some other information to help determine the relationship between the variables C and c, and K and k, then there's no possible way for us to discern where the constants 6 and 5 may have come from.

actually, that is all the information that i have, you can also check in this image:

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