2. (6 points) Consider the differential equation (1+t2)yty=2t. (a) Using Python, plot the slope field for the differential equation. On the slope field, sketch a few solutions for different initial conditions. Describe what appears to happen as t. If the behavior depends on the initial value of y, then describe this dependence. (b) Find the general solution to the differential equation. (c) Find the solution with initial condition y(0)=y0(y0 is just some number). (d) Take the limit as t (the limit will depend on the value of y0 ). Was your guess in part (a) correct