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Putting it All Together. Using the 3-Step Process from Example #3, solve the following I. Suppose the changes in water level in Example #3 follows the differential equation below during the 12 months following the initial study period dw2 - t sint e0.it, w2(0) w1(12) ie, the condition based on the level at the end of dt the first year (a) Based on the differential equation, what will happen to the water level during the second year? Explain using words and a graph. (b) Find an antiderivative for dw2/dt and solve for C. Record the function, w2(t), that precisely describes the water level during the second year (c) According to the model, what will be the water level at the end of the second year? At the half-way point? (d) Assuming the initial study period began on Jan 1,2011, when do the models suggest the water level will fall below 5 inches? Round to the nearest month 2. Find an approximate formula for the function y- f(x) satisfying the differential equation below and passing through the point (2,-20). Include both an equation and a graph over the interval [0, 3] to illustrate your solution df -(1 + x)3 cos(3x) + c 2. dx