Please do the following tasks in mathematica software and provide the mathematica codes only you can share the screen shot of mathematica solution (a) Solve the differential equation: x(1 + y) /dx = y(1+x) /dy (b) Plot multiple solutions of the differential equation in b with values of constant c=-2,-1,0,1,2 (c) Plot the numerical solution (both x and y) of the differential equation for 0 t 5: x' (t) = (y(t)) + x(t)y(t), 2(x(t)) + (y(t)) = 1, x(0) = 0