Question

Initial value problem dy/dt = ((y^2 - 4)(sin^2 (y^3) + cos(y) -2)) / 2 and y(0) =1/2.
Give the bounds of the solutions. What can you say abt the soln, and why can you say it?

Answer 1

Find integral

Answer 2

But we have a Y in the RHS. This is not simple integration problem. Also Y(t) may not be solved explicitly sometimes.

Answer 3

This is not a simple integration problem, but you have to start somewhere; and that is one of the areas you investigate. Many people post questions and have no idea where to start so we give suggestions of where to start. You can add to the discussion by saying what you have found so far...