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Which assignment(s) are to be completed in REVEL? (Select all that apply.) 

Suppose  the position of a  mass on a spring, x(t),  is modeled by the ODE: .When x(t)>0 the spring is stretched, and the spring is compressed when x(t)  $.   Answer the following (a)(b)(c) a)   For what values of

Answer parts (a)(b)(c): (a): Find all constant (equilibrium) solutions to the following ODE (if there are none, write “none”):

 The matrix  

 Solve the IVP explicitly:  

 The matrix  

Answer parts (a)(b)(c): (a): Find all constant (equilibrium) solutions to the following ODE (if there are none, write “none”):

Find the general solution to the ODE:

Find the general solution to the ODE:

Solve the IVP using Laplace transforms: