Consider the autonomous equation yâ²=cos(y) with initial data on the open interval I=(â2Ï,2Ï).
(1/10) Find all the equilibrium solutions of the differential equation in the interval II.
Remark: If necessary, use commas to separate your answers and order them from smallest to largest.
10 points) Consider the autonomous equation y' = cos(y) with initial data on the open interval 1-(-2Ï, 2Ï). a. (1/10) Find all the equilibrium solutions of the differential equation in the intervalI. Remark: If necessary, use commas to separate your answers and order them from smallest to largest. Equilibrium Solutions:-3pi/2,-pi/2,pi/2,3pi/2 b. (2/10) Find the open interval /increasing where solutions to the differential equation are increasing. Remark: If your answer contains intervals like (a, b) and (c, d), with b
