Write a reflection about teaching and learning that has been on your heart and/or mind. Freely express your thoughts and questions regarding this topic/situation. Describe an incident that has occurred in the classroom that relates specifically to these thoughts and/or questions about your teaching and students learning. Read your reflection and write an area-of-focus statement, beginning with The purpose of this study is to….Describe the process or plan you will use to locate literature relevant to your topic of interest. For example, a research topic might be to investigate reading strategies for accessing informational text. Describe how you will complete each of the following steps: 1) locate literature related to your topic, 2) access the literature, and 3) determine the criteria used to evaluate the credibility of the sources.Design an action research project that addresses an area of interest or problem that you want to affect change by completing the nine-step action research plan described on p. 44 or p. 61 of the text (depending upon the edition)
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′′