should be MLA format compliant, and will be 7-10 pages

 should be MLA format compliant, and will be 7-10 pages (not including a cover page and references page). The paper should have the usual research paper structure:

  •  Cover Page
  •  Introduction – give a background of the topic and define the problem
  •  Identify the hypothesis – the specific question you plan to research and explore through the paper
  •  Literature Review – conduct a literature review, seeking out books, journal articles, and other academically credible works that have addressed your topic in the past, and analyze what they have found
  •  Conclusion – reflect back on your original research intention (the hypothesis), and tie together key topics from your research that support or reject your hypothesis.
  •  Identify future research opportunities or limitations to the research – given the brevity of the paper, not all tangents can be covered by your research, identify what topics you would include if you had more time and resources.
  •  References page

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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′′