Use the dsolve() function to solve the differential equation 8Dy3(t) = cos(20t) + sin(2t) for initial conditions  y(10) = 50, Dy(0) = 0, Dy2(0) = 0, and y(10) = 5, Dy(0) = 0, Dy2(0) = 3. Plot your solutions on a single figure as a solid curve for the first set initial conditions and a dotted curve fo rthe second set of initial conditions for time t = -10 to 20. Make sureu to label both axes and title your figure, and turn on the plotting legend. Set teh y-axis limits to [-150 200].

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Rod Cutting

A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exponential time complexity. So there is a need to figure out a better method than this.