For this essay, you will draw on the primary source documents linked below, especially the section entitled “Motives and Attitudes,” to explain the arguments European elites gave for their imperial projects at the end of the nineteenth century. Use a close reading of the online textbook to provide historical context for your argument. Your essay should explore the relationships among various arguments for empire, i.e., the way, for example, racism may have buttressed calls for civilization or how evangelical impulses may have undercut or supported economic arguments. Take at least two of the arguments you think are most important and explore their interaction.
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′′