Mass-Spring-Damper system : ODE45 Solver Results

Underdamped case.

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%   plotting the results 
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figure(1); clf; orient tall;
subplot(2,1,1),plot(t,x);
xlabel('Time (sec.)');
ylabel('Displacement (m)');
title('Mass-Spring-Damper system : ODE45 solver result (underdamped case)')

subplot(2,1,2),plot(t,x_dot);
xlabel('Time (sec.)');
ylabel('Velocity (m/sec.)');

Critically damped case.

Overdamped case.