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(3x(y(x))3−4xy(x)+y(x))ddxy(x)+(y(x))2((y(x))2−2)=0
Mathematica: cpu = 0.060008 (sec), leaf count = 4284 {{y(x)→0},{y(x)→−423x2316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73+423x316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73+23316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73+23−23x+16x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73323x2},{y(x)→423x2316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73+423x316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73+23316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73+23−23x+16x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73323x2},{y(x)→−2i23x2316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73−223x2316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73+2i23x316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73−223x316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73+i22/3316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73−13 22/316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73+23−23x−i16x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x732233x2−16x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73623x2},{y(x)→2i23x2316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73−223x2316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73+2i23x316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73−223x316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73+i22/3316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73−13 22/316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73+23−23x−i16x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x732233x2−16x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73623x2},{y(x)→−−2i23x2316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73−223x2316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73−2i23x316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73−223x316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73−i22/3316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73−13 22/316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73+23−23x+i16x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x732233x2−16x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73623x2},{y(x)→−2i23x2316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73−223x2316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73−2i23x316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73−223x316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73−i22/3316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73−13 22/316x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73+23−23x+i16x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x732233x2−16x6+24x5−27c12x4+12x4+2x3+33−32c12x10−48c12x9+27c14x8−24c12x8−4c12x73623x2}}
Maple: cpu = 0.016 (sec), leaf count = 28 {x+(y(x))−2−_C1(y(x))21(y(x))2−2=0,y(x)=0}
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