3+2(y/x) For the differential equation dy 3x + 2y d.x c+ 2y 1+ 2(y/x) a) Find the values of m for which the linear functions y = me are solutions to the differ- ential equation. b) Sketch the direction field of the differential equation, showing the isoclines, and enough of the slopes to see where the slopes are zero, positive, negative, and infinite. Be sure to include the isoclines where the direction field has the same slope as the isoclines. c) Use the substitution with the new dependent variable v = y/x to rewrite the differential equation in terms of v, " and r. d) Use part (c) to find the general solution of the original differential equation. It's O.K. to leave the solution in implicit form (a relation between r and y), but try to eliminate any logarithms in your solution, and write the solution as an algebraic function of r and y