Solving Differential Equations with Mathematica's Solver
(continued fromÌýlast page...)
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 fromÌýMathematicaÌýthat looked something like the following:
?DSolve
Notice that this description ofÌýDSolveÌýtells us that there are actually six ways that the command can be used:
In this class we will only use theÌýfirstÌý²¹²Ô»åÌýthirdÌýof these choices. "DSolve[eqn,u,x]" tells us how to solve aÌýsingleÌýdifferential equation, whereas "DSolve[{eqn1,eqn2,…},{u1,u1,…},…]" is the command we'd use to solve aÌýsystemÌýof 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 givingÌýDSolveÌýa work-out. We'll see how it handles some basic first-order problems you might encounter on a typical early exam in this course.
³§´Ç,Ìýmoving on...
 |
If you're lost, impatient, want an overview of this laboratory assignment, or maybe even all three, you can click on the compass button on the left to go to the table of contents for this laboratory assignment. |