0. Solve the given initial value problem and determine how the interval in which the solution exists depends on the initial value yo, for yo y + y = 0, y (0) = yo Yo A. y(t) = the solution exists when t 2y 2yt+1 B. y(t) C. y(t) = D. y(t) = 2y t+1 Yo = 7 2yot+1 the solution exists when t the solution exists when t> the solution exists when t> 1 2y 1 236 290 E. None A tank initially contains 150 L of pure water. A mixture containing a concentration of y g/L of salt enters the tank at a rate of 3 L/min, and the well-stirred mixture leaves the tank at the same rate. Find an expression in terms of y for the amount of salt in the tank at any time t. Also, find the limiting amount of salt in the tank as t. A. Q (t) = 150 (1+e ), B. Q (t) = 150 (1-e), ast , Q = 150 ast, Q = 150 c. Q (t) = 150y (1-e), ast, Q = 150 y D. Q (t) = 150y (1 e), = ast , Q = 0 E. None Find an explicit solution of the given initial-value problem, A. y= C B. y= C. y= H H D. y= C E. None 2 2 dy da = y=xy, y(-1)=-1