Solve the DE

Dec 2015
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169
Earth
\(\displaystyle y'^3 -4xyy'+8y^2 =0\).
 

skipjack

Forum Staff
Dec 2006
21,482
2,472
The general solution is probably very complicated, but there are some solutions that are easy to find:
$y = 0$, $y = 4x^3/27$, and (for real x) two piecewise-defined solutions based on those.