how to solve the question

4. Given the following differential equation -= x - 2y + 1. dx (a) Sketch the slope field for the differential equation at the nine indicated points on the axes provided. -19 (b) Find the second derivative, dy2 in terms of x and y. The region in the xy-plane where all the solu- tion curves to the differential equation are concave down can be expressed as a linear inequality. Find this region. (c) The function y = f(x) is the solution to the differential equation with initial condition f(-1) = 0. Determine whether f has a local maximum, local minimum, or neither at x = -1. Justify your answer. (d) For which values of m and b is the line y = mx + b a solution to the differential equation