For this assignment, you will compose a draft of the Study Purpose and Research Question sections of your Research Prospectus. Study Purpose section: Begin with “The purpose of the [method choice] [research approach/design] study is to….” Following this, provide a brief rationale for your method choice. Next, specify your research site, target population, sampling method, proposed sample size, data collection method, and the data analysis software you plan to use. Finally, briefly articulate what you expect to be the contribution of study findings to both professional practice and scholarship in your field/concentration.Research Question section: State the single overarching research question that will guide your study. (Note: For a quantitative or mixed methods study, you will also complete the Hypothesis(es) section; delete this section if you are planning a qualitative study.) Ensure that you are able to demonstrate a clear alignment of your “trio”—the problem statement, study purpose, and research question. Look ahead to the Research Method Rationale section, and provide an early draft of this section in your submission that matches the research method and research design choice included in your purpose sentence.Note: You will submit all of your Individual Project assignments in your Research Prospectus Template as a working draft. As the course proceeds through all sections of the Research Prospectus, it will provide an ongoing opportunity to refine each section based on instructor feedback.
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′′