Solving Differential Equations with Mathematica's Solver
(continued fromÌýlast 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]]}}
SoÌýMathematicaÌýhas little trouble handling homogeneous differential equations, (or at least no trouble with this one!) In early versions ofÌýMathematica, 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 theÌýnext challenge...
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