Differential equations. make your work clear! note parts c and d, might require you to do some short research or read the review packet a) without referring to your notes, describe what a differential equation in your own words. when would you differential equations be used in physics? the key is not to write down the correct answer but for vou to have your own definition and refine it accordingly. points will be deducted if responses are copied from any resource, and full credit is awarded otherwise b) you are pouring a solution of your favorite drink containing a (where a is a constant) lb/gal into a large tank at a rate of r gal/min. the tank initially has b gal of pure water. assume that the tank has stirrers inside and has a hole on the bottom that drains liquid at the same rate r. let q be the concentration inside the tank. write a differential modeling the situation (hint: try drawing this out, how would you define? ) dq dt dr2 c) solve the differential equation. w0, x(0)-0 (hint, what function(s) exists where the second derivative of the function is equal to the negative of itself.) dar dt d) solve the differential equation. _-x 0, x(0)-0