In the case b =6, find the physical form of the solution, the damping factor, envelope curves and quasiperiod.Sketch the graph for b=6, 8 and 10. **Problem 3: Mass-Spring System with Damping**The motion of a mass-spring system with damping is governed by the differential equation:\[ y''(t) + b y'(t) + 16y(t) = 0; \]with initial conditions:\[ y(0) = 1, \quad y'(0) = 0. \]**Task:**Find the equation of motion and sketch its graph for the damping coefficients \( b = 0, 6, 8, \) and \( 10 \). In solving this problem, explore how the value of \( b \) affects the behavior of the system, particularly in terms of damping and oscillations.

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Answered: 3. The motion of a mass-spring system…

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3. The motion of a mass-spring system with damping is governed by y"(t) +by' (1) + 16y(t) = 0; y(0) = 1, y'(0) = 0. Find the equation of motion and sketch its graph for b = 0, 6, 8, and 10.