Hi Sid,
Generally speaking, there are two methods to consider: DSolve can be used to obtain a symbolic solution, and that can be used to obtain solutions having particular numerical values. However, many differential equations do not have closed form solutions, so for them this method in unavailable. For those, NDSolve and NDSolveValue can be used to provide numerical solutions in the form of interpolating functions. The attached notebook demonstrates the second case in the form of a solution for the trajectory of a ballistic projectile subject to a drag proportional to v^2.
Kind regards,
David
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