Discussion 1Representing Operation Models Please respond to the following:• From the first e-Activity, ( http://www.youtube.com/watch?v=2yoahl1Hf5U.) suppose you were asked to create an UML use case for a system-as-is given the complete requirements. Propose three best practices that you would suggest for the creating of a UML use case from the complete requirements (i.e. selecting actors and operations).• Evaluate operationalization diagrams and UML use case diagrams in relation to operational models. Select the diagram that you believe represents operation models clearer. Defend your position.Discussion 2Instance Behaviors Please respond to the following:• From the second e-Activity, (http://www.youtube.com/watch?v=sT9Agff4xBE.) determine whether you believe that the behavior of a system can or cannot be captured without using UML sequence diagrams. Provide rationale.• Determine whether or not you believe that every system being modeled must include state diagrams in order to understand state transitions. Support your position
Obtain the general solution of the following DEs: i. y′′′ + y′′ − 4y′ + 2y = 0 ii. y(4) + 4y(2) = 0 iii. x(x − 2)y′′ + 2(x − 1)y′ − 2y = 0; use y1 = (1 − x) iv. y′′ − 4y = sin2(x) v. y′′ − 4y′ + 3y = x ; use y1 = e3x vi. y′′ + 5y′ + 6y = e2xcos(x) vii. y′′ + y = sec(x) tan(x)
Obtain the general solution of the following DEs: i. y′′′ + y′′ − 4y′ + 2y = 0 ii. y(4) + 4y(2) = 0 iii. x(x − 2)y′′ + 2(x − 1)y′ − 2y = 0; use y1 = (1 − x) iv. y′′ − 4y = sin2(x) v. y′′