Symbolic solutions

The basic command in Mathematica for solving a differential equation symbolically is DSolve. This works for single differential equations to find a general solution, initial value problems, and systems of differential equations. The one thing you must be careful to do when working with differential equations in Mathematica is to explicitly specify each function and its independent variable.  So, in order to enter the differential equation:  , you would have to enter it as: (notice that I also converted it into "Mathematica-speak" at the same time; you must you == instead of =, square brackets, and capitalize all built-in functions).