
Solving Differential Equations with Mathematica's Solver
Assuming that you made no mistakes, (and it would be pretty hard to do so
given that all you had to do was type seven letters and hit [ENTER]), you should
have gotten an output from Mathematica that looked something like the
following:
?DSolve
Notice that this description of DSolve tells us that there
are actually six ways that the command can be used:
In this class we will only use the first and third of these choices. "DSolve[eqn,u,x]" tells us how to solve a single differential
equation, whereas "DSolve[{eqn_{1},eqn_{2},…},{u_{1},u_{1},…},…]" is the command we'd use to solve a system of differential
equations. We haven't even done systems in class yet, so we'll stick to single
equations for a while.
Anyway, let's get started on giving DSolve a workout. We'll
see how it handles some basic firstorder problems you might encounter on
a typical early exam in this course.
So, moving on...

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