Essay Question: The great classical cultures of Eurasia created separate identities but each of these cultures also contained important elements that other peoples adopted. In the classical and post-classical periods (600 BCE to 1450 CE), the peoples and cultures of this vast area had consistent and enduring interactions. What were three main causes or sources of this new integration of Eurasia? What were three important consequences or effects? What made these causes or sources and consequences or effects so important?Book source URL for the essay below and please you can only use this information for reference. No other outside source is accepted. Chapters 3 and 4 cover information over Eurasia.https://online.vitalsource.com/#/books/9781538105597/pageid/125Please note: when you discuss the important consequences or effects of developments you identify or what we can learn from parallel worlds, do not extend your discussion beyond the year 1450. For instance do not discuss their significance for life today. The shape of the current world is beyond the scope of this class. The Final Exam in HIS 233 tests your mastery of course content and this course ends around the year 1450, so your discussion of important consequences or “take-aways” needs to end around that year as well. The nearly 570 years since 1450 (which is the time period covered by HIS 234) have had more impact on the nature of the modern world in any case.Your exam should be no less than 5 double-spaced typed pages in 12-point Times New Roman font with 1-inch margins on all sides. It can be longer, however, Title, Bibliography, and Works Cited pages are not part of the required page count.The formatting of the essay and all citations need to follow Chicago Manual of Style format. Chicago is the citation and bibliographic style used by historians. Click on the website links below for Chicago-style guides and examples of humanities and author-date citation styles. You may use either humanities or author-date citation styles but use only one of these styles in your work. The author-date citation style is very close to MLA and APA styles.
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′′