(4) For the differential equation y′=0−x2 do the following: (a) Explain why any solition y(x) of the differential oxuati
Posted: Thu Jul 14, 2022 4:36 pm
(4) For the differential equation y′=0−x2 do the following: (a) Explain why any solition y(x) of the differential oxuation must be an incressing fiatiction on any interval of tho x-axis. Hint: What is the rolationship between the first derivative of a function and whether that function is incrensing or docreasing? (b) Find the limiter x→∞limy′=x→∞limy= (c) Dotermine aut inferval over which auy folution y(x) would be cocicave up anif an Interval ower whleli any wolutlon wrould be conceve down. mal concanvify?