Given the homogeneous equation dy/dx = 2x + 3y/2x + y = 2 + 3(y/x)/2 + (y/x) sketch the direction field, using isoclines, and a few representative solutions. be sure to show where the slopes are zero and undefined, and include any linear solutions. solve the differential equation, creating a new dependent variable v = y/x. write down an equivalent differential equation involving v, dv/dx, and x. write down an equivalent differential equation involving v, dv/dx, and x. (you'll need to calculate dv/dx)