Consider the following equation.

 

a. Plot the free response for the initial conditions y(0) = 10,ẏ(0) = -5.

b. Plot the unit-step response (for zero initial conditions).

c. The total response to a step input is the sum of the free response and the step response. Demonstrate this fact for this equation by plotting the sum of the solutions found in parts a and b and comparing the plot with that generated by solving for the total response with y(0) = 10, ẏ(0) = -5.

Transcribed Image Text:

5y + 2y + 10y = f(t)