(6) The tank below contains 1,000 gal of water in which initially 100 lb of salt is dissolved. Brine runs in at a rate of 10 gal/min, and each gallon contains 5 lb of dissolved salt. The mixture in the tank is kept uniform by stirring. Brine runs out at 10 gal/min. Let y(t) denote the amount of salt in the tank at time t. The ODE to solve will be: dy(t) = 50 – 0.01 y dt With an appropriate initial condition, solve for the particular solution of the ODE to find the salt concentration in the tank at any time t.