Use the MATLAB dsolve() function to solve the differential equation 8y-y cos (20t) + sin (21)...

 

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Use the MATLAB dsolve() function to solve the differential equation 8y-y cos (20t) + sin (21) for initial conditions y(10) = 50, y (0) = 0, y (0) = 0 and y(10) = 15, y (0) = 0, y (0) = 3. Plot the your solutions on a single figure as a blue curve for the first set initial conditions and a red curve for the second set of initial conditions for time t = -10 to 20. Make sure to label both axes and title your figure, and turn on the plotting legend. Set the y-axis limits to [-150 200]. % Problem 2 Code Here b Problem 4: Analyze your solution from Problem 3. How did changing the initial conditions change the solution? Which terms changed when the initial conditions changed? Explain. Put explanation/math here... Use the MATLAB dsolve() function to solve the differential equation 8y-y cos (20t) + sin (21) for initial conditions y(10) = 50, y (0) = 0, y (0) = 0 and y(10) = 15, y (0) = 0, y (0) = 3. Plot the your solutions on a single figure as a blue curve for the first set initial conditions and a red curve for the second set of initial conditions for time t = -10 to 20. Make sure to label both axes and title your figure, and turn on the plotting legend. Set the y-axis limits to [-150 200]. % Problem 2 Code Here b Problem 4: Analyze your solution from Problem 3. How did changing the initial conditions change the solution? Which terms changed when the initial conditions changed? Explain. Put explanation/math here...