Math 107: Calculus II, Spring 2008: Midterm Exam I Solutions1. This question is about the autonomous differential equationdydt=y(y2+ 1).(a) Find the equilibrium solution to this differential equation.(b) Use the first derivative test to decide if the equilibrium is stable or unstable.(c) Consider the solution to this equation that hasy=-1att= 0. Is this solutionincreasing, decreasing or constant? Explain your answer.2+1) = 0.