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axy′(x)+by(x)+y(x)y′(x)2=0 ✓ Mathematica : cpu = 0.592245 (sec), leaf count = 245
{Solve[18(2atanh−1(a2−4by(x)2x2a)−2(a+2b)tanh−1(a2−4by(x)2x2a+2b)+alog(a+b+y(x)2x2)+2blog(a+b+y(x)2x2)+alog(y(x)2x2)a+b+4log(x))=c1,y(x)],Solve[18(−2atanh−1(a2−4by(x)2x2a)+2(a+2b)tanh−1(a2−4by(x)2x2a+2b)+alog(a+b+y(x)2x2)+2blog(a+b+y(x)2x2)+alog(y(x)2x2)a+b+4log(x))=c1,y(x)]}
✓ Maple : cpu = 0.303 (sec), leaf count = 264
{x(y(x))2(_C1(−12y(x)(ax+a2x2−4b(y(x))2))−aa+b(ax+a2x2−4b(y(x))2)(a2(y(x))2(ax2+a2x2−4b(y(x))2x+2(y(x))2))−a−2b2a+2b+(y(x))2)=0,−x(y(x))2(_C1(12y(x)(−ax+a2x2−4b(y(x))2))−aa+b(ax−a2x2−4b(y(x))2)(−a2(y(x))2(−ax2+a2x2−4b(y(x))2x−2(y(x))2))−a−2b2a+2b−(y(x))2)=0}
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