***PAPER MUST BE 5 PAGES***The assignment components and grading specifics are outlined below:(1) What is the hypothesis of the research?(2) List and operationalize all independent and dependent variables examined.(3) What method of data collection was used and the sample examined?4) Discuss the prior literature reviewed and its relevance to the research problem. Do you believe the literature review is an adequate representation of all relevant studies?(5) What do the findings suggest?(6) Can this research be generalized? Why or why not?(7) How well do you believe the research design chosen was suited to the research question?(8) How clearly was the data presented and discussed? Do you believe the results are substantively important?(9) What additional questions or hypotheses are suggested by the studys results?(10) What are some of the potential drawbacks of this research?
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′′