Primary Task Response: Within the Discussion Board area, write400–600 words that respond to the following questions with your thoughts, ideas, and comments. This will be the foundation for future discussions by your classmates. Be substantive and clear, and use examples to reinforce your ideas:Theresa and Mike want to create a merged company that is defined by a culture of integrity, thus aiding employees in making ethical decisions, such as in Joe’s ethical dilemma. They will begin by understanding the methods of embedding ethical decision making and behaviors into the culture, including their responsibilities as leaders.You, the consultant, are asked to provide recommendations and guidance to help them shape the culture they are intending. This discussion is about values, a culture of integrity, and the role of leaders in creating and maintaining it.Review the scenario for this course, and discuss the following with your classmates:What ethical theories can be used to create a values-driven culture of integrity?What organizational programs or processes can help achieve a values-driven culture of integrity?In this type of culture, what decision-making processes can the CEOs use to make ethical decisions?Include any insights from your professional experience.
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′′