Please respond to prompts below.Credit for this assignment depends on your ability to:Include on-point statements that demonstrate clear connections with the textbook chapter content (Diversity Amid Globalization World Regions, Environment, Development 7TH EDITION)Include examples to illustrate/reinforce your statementsProvide clear and unequivocal evidence of “thinking geographically” i.e. you need to explainhow or why a geographer would focus attention on the matter/circumstances that you areresponding toProvide a response that is clearly written (i.e. legible) top to bottom.Prompt:1-ENVIRONMENTAL GEOGRAPHY:Europe is one of the “greenest” world regions, with strong environmental laws and regulations about recycling, energy efficiency, and pollution. Europe is also a leader in promoting solutions to the problems associated with global warming.2- POPULATION AND SETTLEMENTWith low (or no) natural population growth, immigration into Europe from other world regions is both asolution to Europe’s labor needs and also a troublesome social issue.
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′′