From Chapter 12, page 379 WEB-BASED CASE STUDY, THE FUTURE OF LIFE INSTITUTE.Read the case and answer all 4 questions (4*5 = 20 points).Question: Elon-Musk donated $10 million to a foundation called the Future of Life Institute. The institute published an open letter from an impressive array of AI experts who call for careful research into how humanity can reap the benefits of AI “while avoiding its pitfalls.” Go online and find out about the institute’s initiatives. 1) What are its primary goals? 2) How can humans establish and maintain careful oversight of the work carried out by robots? 3) How valid are Elon Musk, Bill Gates, and Stephen Hawking’s concerns? 4) What other concerns should the public bear in mind as the technological revolution advances?Sources: Future of Life Institute. http://futureoflife.org
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′′