Solve the following initial value problems.

A large vat contains 100 liters of pure water. Salt and water are then added to the tank: salt at a rate of 8 ounces per minute, and water at a rate of 5 liters per minute. Simultaneously, the saltwater solution is drained from the bottom of the vat at a rate of 5 liters per minute. Assume the saltwater is kept thoroughly mixed.a. Write an initial-value problem that gives the amount of salt in the vat after t minutes.(hint: your answer should be separable so that you can solve in part (b)) b. Solve the initial-value problem you gave in part (a).

(10) Solve the following equations (they may be simple, variable separable or can be made such with a linear substitution). -1/5 (h) (Hand in) = y ¹/5rlogr. Obtain an explicit solution.