a What can you say about a solution of the equation y 1 3 y2

Last updated: 7/18/2023

a What can you say about a solution of the equation y 1 3 y2 just by looking at the differential equation O The function y must be strictly decreasing on any interval on which it is defined The function y must be increasing or equal to 0 on any interval on which it is defined O The function y must be strictly increasing on any interval on which it is defined The function y must be equal to 0 on any interval on which it is defined The function y must be decreasing or equal to 0 on any interval on which it is defined b Verify that all members of the family y 3 x C are solutions of the equation in part a x c y X C LHS y Y x c X C d Find a solution of the initial value problem y 1 3 y y 0 0 1 1 1 1 R RHS c Can you think of a solution of the differential equation y 1 3 y that is not a member of the family in part b Oy x is a solution of y 1 3 y2 that is not a member of the family in part b B O Every solution of y 1 3 y is a member of the family in part b O y 0 is a solution of y 1 3 y2 that is not a member of the family in part b O y x is a solution of y 1 3 y that is not a member of the family in part b O y 3 is a solution of y 1 3 y2 that is not a member of the family in part b