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its the last topic that we want to look at on the subject of differential equations is mathematical modeling so a lot of modeling problems involve differential equations its not the only technique you can use for mathematical modeling of physical situations obviously there are a lot of scenarios that can be modeled using mathematics thats why people study mathematics because it can be used to describe the real world I mean also because its fun but it has a lot of use in describing the world this one is actually from the section on linear differential equations but its a good lead-in to some of the other things were going to look at very soon so standard problem here right you have you have an object thats being dropped maybe from a its from like a passing airplane lets draw the airplane in there it is okay and its flying above the ground thats some height lets say why not and were gonna drop a package from the plane alright so theres a package that falls out and its gon