Mathematics & Science Learning Center
Computer Laboratory

(continued from last page...)

Your session should have gone something like this:

DSolve[x y[x] + y[x]^2 + x^2 - x^2 y'[x] == 0, y[x], x]

{{y[x] → x Tan[C[1] + Log[x]]}}

So Mathematica has little trouble handling homogeneous differential equations, (or at least no trouble with this one!) It is interesting to note that if you had been using Mathematica version 2.2 or lower, the above command would have failed to work. Wolfram Research has refined the algorithms its flagship software uses since then, and continues to do so!

...moving on to the next challenge...

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.