Required Topic You should focus on the characteristics of Romanticism discussed in the Romanticism lecture of thiscourse. Choose 3 of the characteristics of Romanticism as the basis of your essay (each characteristic will bea main point). Be sure to explain each of the characteristics briefly, and use some of the poetry we studied asillustrations (examples of the characteristics). If you are unclear about a topic choice, email me your question(s) and your proposed 3-point thesisstatement at least 3 days before the essay is due.2. Required Organization and Development Your essay should contain 5 paragraphs:uf0d8 Introductionuf0d8 Body Paragraph 1uf0d8 Body Paragraph 2uf0d8 Body Paragraph 3uf0d8 Conclusion Your essay must be developed according to this recipe:uf0d8 Paragraph #1o Introduce your topic with no more than 2 sentences.o Specify in sentence 2 (a 3-point thesis) the three main ideas which you will address in youressay (see following samples).uf0d8 Paragraph #2o Begin this paragraph with a topic sentence about the first main idea. It should focus on thefirst idea stated in your 3-point thesis.o Develop this topic sentence with 3 to 5 sentences of support using examples from requiredreading assignments.uf0d8 Paragraph #3o Begin this paragraph with a topic sentence about the second main idea. It should focus on thesecond idea stated in your 3-point thesis.o Develop this topic sentence with 3 to 5 sentences of support using examples from requiredreading assignments.uf0d8 Paragraph #4o Begin this paragraph with a topic sentence about the third main idea. It should focus on thethird idea stated in your 3-point thesis.o Develop this topic sentence with 3 to 5 sentences of support using examples from requiredreading assignments.uf0d8 Paragraph #5o Limit paragraph five to no more than two sentences.o The first sentence should summarize your essay.o Do not mention any new information. Your essay length:uf0d8 Include no more than a total of 300-500 words.
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′′