1. (Consider the differential equationdy/dt=y(1-y^2)(i) Determine the equilibrium solutions.(ii) Obtain the general solution.(iii) Solve the initial-value problem y(0) = 1/2(iv) Draw the phase line.(v) Sketch solution curves in the ty-plane corresponding to the initial conditions y(0) =-3/2; y(0) =1/2;y(0)=3/22. Consider the differential equationDy/dt= -2ty^2.(i) Obtain the general solution.(ii) Find all values of y0 such that the solution to the initial-value problem y(-1) = y0 isdefined for all real t (i. e., find all y0 such that the solution does not blow up in finite time.)