In this unit, you will be revising your Unit V Illustration Essay, but you will also be looking forward to the Unit VII submission of your Expository Essay. Choosing a topic can be a great challenge to students at times because they want to choose a topic that is reasonable and one that is interesting to them. However, some students struggle with choosing a topic because there are so many possibilities. In the lessons for this unit, we discussed some different ways that you can come up with a short list of possible topics, including talking to those around you, observing important issues, reflecting on issues that are important to you, and thinking about topics in relation to disciplinary categories.After considering some of these generative methods, what topics have you come up with? Describe them, along with giving a short explanation of how you came to your topics. You might choose just one topic and share your process. If you do not have a topic(s) in mind, then describe some general areas of interest or where you think you might want to find a topic. Sometimes just describing these vague thoughts can be very productive for you and others!Please include the name of the person or question to which you are replying in the subject line. For example, Toms response to Susans comment.ALSO PLEASE REPLY TO ANOTHER STUDENTS COMMENT BELOWMichael:For me, coming up with a topic is one of the most challenging parts.Most times,I find a topic that I can relate to or is something that I concern myself with already, then search for good reliable sources to accompany the idea. sometimes, I end up changing my original idea because I cant find a good source of information to back up mytopic. For this specific assignment, I have had many different ideas come to mind. A few of my ideas so far are nuclear energy, electoral college, and the constitutional right to peacefully protest. Obviously I chose two topics of things that are currently going on and one that I am familiar with because I used to work in the nuclear industry. I am hoping to explore these ideas some more in the upcoming week to really narrow down my topics!
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′′