Consider the differential equation dy/dx = y^2 (2x + 2). Let y = f (x) be the particular solution to the differential equation with initial condition f(0) = -1.(a) find lim\frac{f(x)+1}{sinx}Show the work that leads to your answer.(b) Use Euler's method, starting at x = 0 with two steps of equal size, to approximate f(1/2).(c) find y = f (x), the particular solution to the differential equation with initial condition f(0) = -1