You will be responsible for writing a minimum six-page double-spaced term paper based on your project topic. This minimum does not include title page and reference section.Be sure to use the topic I attached in Powerpoint.Final Essay Format Guidelines· 12 point arial or times new roman font· 1” margins all around· Double spaced throughout· Page Numbering except Title Page and Bibliography Section· Structureo Title Page? A Separate Page that Includes:· Your Name· Title of Essay· Course Number and Name· Date· Basic Essay Structure:o Title Page (separate)o Introductiono Community Area Descriptionso Similarities and Differenceso Summaryo Bibliography (separate)Use Number Reference System (Vancouver System) :· https://libguides.aalto.fi/c.php?g=410674&p=2798423· https://global.oup.com/academic/authors/author-guidelines/reference-styles/numbered-notes/numbered-reference-citations/?lang=en&cc=fr· https://en.wikipedia.org/wiki/Vancouver_system· See Wikipedia for example: (https://en.wikipedia.org/wiki/Community_areas_in_Chicago)· https://guides.lib.monash.edu/citing-referencing/vancouverhttps://mym.cdn.laureate-media.com/USA/Library/Vancouver_Citation_Style_Guide.pdf
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′′