Differential Equations: The differential equation dy/dt = ycos(y)+y−π/2 on the interval 0≤y≤π has the following graphical information relating dy/dt to y. A) What are the equilibrium solutions? B) For...

Differential Equations:

The differential equation dy/dt = ycos(y)+y−π/2 on the interval 0≤y≤π has the following graphical information relating dy/dt to y.

A) What are the equilibrium solutions?

B) For what values of y are the solution curves increasing?

C) Place your Equilibrium solutions on a grid for and sketch a few solution curves for y(t) vs t. Classify the equilibrium solutions as STABLE or UNSTABLE.