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# A spring-mass system set in motion was determined by the IVP u''+100u=0, u(0) = 1, u'(0) = -10. What is the amplitude of the motion?

A spring-mass system set in motion was determined by the IVP u''+100u=0, u(0) = 1, u'(0) = -10. What is the amplitude of the motion?

A spring system with external forcing term is represented by the equation y''+2y'+2y = 4cos(t) + 2sin(t). What is the steady state solution of the system (Y(t))?