Consider a system with equation of motion 3y+ 9y+6y= 3f (t), if f(t) = 5 r(t)...

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Consider a system with equation of motion 3y+ 9y+6y= 3f (t), if f(t) = 5 r(t) where r(t) is ramp function. Find the response of the system. Initial conditions are y(0) = -1 and y(0)=1. Verify your results by plotting the response of y(t) directly from your resultant analytical expression as well through solving the original ODE using Matlab or Simulink. Consider a system with equation of motion 3y+ 9y+6y= 3f (t), if f(t) = 5 r(t) where r(t) is ramp function. Find the response of the system. Initial conditions are y(0) = -1 and y(0)=1. Verify your results by plotting the response of y(t) directly from your resultant analytical expression as well through solving the original ODE using Matlab or Simulink.