C Find three linearly x G A body with mass x | + ced/1234847-MAT-330-H3020-OL-TRAD-UG.23EW3/Course%20Documents/MAT%20330%20Module%20Three%20 Template.pdf Module Three-M X MAT 330 Module X 100% Do Homework-3 x Problem 1: Use the MATLAB dsolve() function to solve the differential equation y - y = 2r- t -5 with initial conditions y(1) = 3, y (0) = 0. Plot the your solution on a figure as a single blue curve for time t = -2 to 2. Make sure to label both axes, title your figure, and turn on the plotting legend. Set the y-axis limits to [-15 10]. % Problem 1 Code Here Problem 2: Analyze your solution from Problem 1 to check that the initial conditions are satisfied. Compute y(1) andy (0) and by hand to verify their values. Make sure to show your work. Put explanation/math here... Problem 3: Use the MATLAB dsolve() function to solve the differential equation 8y-y = cos (201) + 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 M < ** 0 SAMSUNG ( 9 D X BRE 6:55 D Do Homework-3 x C Find three linearly x G A body with mas: x | + ced/1234847-MAT-330-H3020-OL-TRAD-UG.23EW3/Course%20Documents/MAT%20330%20Module%20Three%20 Template.pdf Module Three-M X MAT 330 Module X 4 / 4 100% ba 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... 7 SAMSUNG O D