The Tulare Lake was the largest freshwater lake west of the Mississippi River and was located in the southern end of the San Joaquin Valley. The Tulare Lake was fed by the Kern, Kaweah, and Tule rivers, but the lake eventually disappeared due to diversions of its tributaries for agriculture and municipal uses by the end of the 19th century. The lake emptied into the San Joaquin river when the lake reached an elevation of 207 to 210 feet. Create a model of the water present in the Tulare Lake, specify initial condition, and solve the initial value problem.