is defined? Solve y' 2x/(1+2y) with y(2) = 0. What is the largest interval on which the solution = Problem 4: Sketch the slope field for the equation y' = e- Use the plot to guess a solution and verify that your guess is correct. Problem 5: Stephan's law of radiative cooling states that the temperature T of a material at time t satisfies T' = -k(T4-T) where k > 0 is constant and Te is the constant environmental temperature. This law holds for bodies heated to a very high temperature that will emit blackbody radiation (i.e. molten iron). (a) Show that the general solution is given implicitly by T+Te +2arctan (#) = 4kT3t+C In (7+7) + Hint: Use partial fractions. (b) Let T(0) To > Te. Calculate lim T(t).