3. Sketch a direction field for y^ prime =x-y Then sketch a solution curve that goes through the point (1, 2).

2. Find the Taylor series for f (x) = sing at @ = Find the interval of convergence and show that the Taylor 2 series represents f(x). 3. Sketch a direction field for y' = x - y. Then sketch a solution curve that goes through the point (1, 2). 2x 4. Use the separation of variables method to find a general solution to the differential equation y' = Then