ode homework help

2. Consider a salt tank initially containing a 100L solution with 40 kg of salt. A solution with a salt concentration of 3 kg/L is pumped into the tank at a rate of 25 L/ min and at the same time the well mixed solution is pumped out at the same rate. (a) (3 points) Write the initial value problem (WP) modeling rc(t). the amount of salt in the tank at time t. (h) (3 points) Using only the WP. answer the following question: when the pumps start. will the amount of salt in the tank will increase or decrease? (Hint: What do you know about the derivative of a increasing/decreasing function?) You cannot use part (c) in your conclusion only the WP. (c) (10 points) Solve for x(t)