Please can I have a human work these problems for me$?$ Thisis differential equations. I would appreciate it if all of the work is shown.

Instructions: Complete each of the following problems. You may use a calculator, but you must show ALL work for full credit.

A tank originally contains $100$ gal of fresh water. Then water containing $\frac{1}{2}lb$ of salt per $2$ gallon is poured into the tank at a rate of $2ga\frac{l}{m}in,$ and the mixture is allowed to leave at the same rate.

a$.(10$ pts$)$ What is the amount of salt at any time $t?$

b$.(6$ pts