2.3.56 Problems 5501 to 5600

Table 2.695: Main lookup table. Sorted by time used to solve.

#	ID	ODE	Solved?	Maple	Mma	Sympy	time(sec)
5501	15202	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} {y^{\prime }}^{2}-2 y y^{\prime } x -x +y \left (1+y\right )&=0 \end {array} \]	✓	✓	✓	✓	0.499
5502	15693	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} {y^{\prime }}^{2}-2 y y^{\prime } x -x^{4}+y^{2} \left (-x^{2}+1\right )&=0 \end {array} \]	✓	✓	✓	✓	0.499
5503	16615	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} {y^{\prime }}^{2}-\left (2 y x +1\right ) y^{\prime }+1+y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.499
5504	19653	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} {y^{\prime }}^{2}-\left (a +2 y x \right ) y^{\prime }+y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.499
5505	20892	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} {y^{\prime }}^{2}-x \left (x -2 y\right ) y^{\prime }+y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.499
5506	4028	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} {y^{\prime }}^{2}+2 x \left (2 x +y\right ) y^{\prime }-4 a +y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.500
5507	10345	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} {y^{\prime }}^{2}+x \left (x^{3}-2 y\right ) y^{\prime }-\left (2 x^{3}-y\right ) y&=0 \end {array} \]	✓	✓	✓	✓	0.500
5508	12778	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} {y^{\prime }}^{2}+3 y y^{\prime } x +2 y^{2}&=0 \end {array} \]	✓	✓	✓	✗	0.500
5509	15140	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} {y^{\prime }}^{2}-3 y y^{\prime } x +x^{3}+2 y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.500
5510	15692	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} {y^{\prime }}^{2}+4 y y^{\prime } x -5 y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.500
5511	18660	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} {y^{\prime }}^{2}-4 x \left (y+2\right ) y^{\prime }+4 \left (y+2\right ) y&=0 \end {array} \]	✓	✓	✓	✓	0.500
5512	20154	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} {y^{\prime }}^{2}-5 y y^{\prime } x +6 y^{2}&=0 \end {array} \]	✓	✓	✓	✗	0.500
5513	22802	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} {y^{\prime }}^{2}+x \left (x^{2}+y x -2 y\right ) y^{\prime }+\left (1-x \right ) \left (x^{2}-y\right ) y&=0 \end {array} \]	✓	✓	✓	✓	0.500
5514	1013	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} {y^{\prime }}^{2}+\left (2 x +y\right ) y y^{\prime }+y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.501
5515	3187	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} {y^{\prime }}^{2}+\left (2 x -y\right ) y y^{\prime }+y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.501
5516	6385	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} {y^{\prime }}^{2}+\left (a +b \,x^{2} y^{3}\right ) y^{\prime }+a b y^{3}&=0 \end {array} \]	✗	✗	✗	✗	0.501
5517	18198	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (-x^{2}+1\right ) {y^{\prime }}^{2}&=1-y^{2} \end {array} \]	✓	✓	✓	✓	0.501
5518	19627	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (-x^{2}+1\right ) {y^{\prime }}^{2}+2 y y^{\prime } x +4 x^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.501
5519	21548	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (a^{2}+x^{2}\right ) {y^{\prime }}^{2}&=b^{2} \end {array} \]	✓	✓	✓	✓	0.501
5520	21632	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (a^{2}-x^{2}\right ) {y^{\prime }}^{2}+b^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.501
5521	22882	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (a^{2}-x^{2}\right ) {y^{\prime }}^{2}&=b^{2} \end {array} \]	✓	✓	✓	✓	0.501
5522	26049	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (a^{2}-x^{2}\right ) {y^{\prime }}^{2}&=x^{2} \end {array} \]	✓	✓	✓	✓	0.501
5523	28170	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (a^{2}-x^{2}\right ) {y^{\prime }}^{2}+2 y y^{\prime } x +x^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.501
5524	2368	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (a^{2}-x^{2}\right ) {y^{\prime }}^{2}-2 y y^{\prime } x -y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.502
5525	3881	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (a^{2}+x^{2}\right ) {y^{\prime }}^{2}-2 y y^{\prime } x +b +y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.502
5526	8930	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{2} {y^{\prime }}^{2}-4 y y^{\prime } x&=8 x^{3}-y^{2} \end {array} \]	✓	✓	✓	✓	0.502
5527	12591	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} a \,x^{2} {y^{\prime }}^{2}-2 a x y y^{\prime }+x^{2} a \left (1-a \right )+y^{2}&=0 \end {array} \]	✓	✓	✓	✗	0.502
5528	12771	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (-a^{2}+1\right ) x^{2} {y^{\prime }}^{2}-2 y y^{\prime } x -a^{2} x^{2}+y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.502
5529	16021	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{3} {y^{\prime }}^{2}&=a \end {array} \]	✓	✓	✓	✓	0.502
5530	25272	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{3} {y^{\prime }}^{2}+y^{\prime } x -y&=0 \end {array} \]	✓	✓	✓	✓	0.502
5531	190	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{3} {y^{\prime }}^{2}+x^{2} y y^{\prime }+a&=0 \end {array} \]	✓	✓	✓	✗	0.503
5532	1005	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (-x^{2}+1\right ) {y^{\prime }}^{2}-2 \left (-x^{2}+1\right ) y y^{\prime }+x \left (1-y^{2}\right )&=0 \end {array} \]	✓	✓	✓	✓	0.503
5533	2611	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x \left (a -x \right ) \left (b -x \right ) {y^{\prime }}^{2}&=\left (a b -2 \left (a +b \right ) x +2 x^{2}\right )^{2} \end {array} \]	✓	✓	✓	✓	0.503
5534	7204	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{4} {y^{\prime }}^{2}-y^{\prime } x -y&=0 \end {array} \]	✓	✓	✓	✓	0.503
5535	8891	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{4} {y^{\prime }}^{2}+2 y y^{\prime } x^{3}-4&=0 \end {array} \]	✓	✓	✓	✓	0.503
5536	9115	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{4} {y^{\prime }}^{2}+y^{2} y^{\prime } x -y^{3}&=0 \end {array} \]	✓	✓	✓	✓	0.503
5537	10514	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} \left (a^{2}-x^{2}\right ) {y^{\prime }}^{2}+1&=0 \end {array} \]	✓	✓	✓	✗	0.503
5538	15689	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 x^{4} {y^{\prime }}^{2}-y x -y&=0 \end {array} \]	✓	✓	✓	✓	0.503
5539	20360	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{5} {y^{\prime }}^{2}+12 x^{4} y y^{\prime }+9&=0 \end {array} \]	✓	✓	✓	✓	0.503
5540	22827	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{6} {y^{\prime }}^{2}-2 y^{\prime } x -4 y&=0 \end {array} \]	✓	✓	✓	✓	0.503
5541	25315	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{8} {y^{\prime }}^{2}+3 y^{\prime } x +9 y&=0 \end {array} \]	✓	✓	✓	✓	0.503
5542	26931	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y {y^{\prime }}^{2}&=a \end {array} \]	✓	✓	✓	✓	0.503
5543	1769	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y {y^{\prime }}^{2}&=a^{2} x \end {array} \]	✓	✓	✓	✗	0.504
5544	2613	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y {y^{\prime }}^{2}&={\mathrm e}^{2 x} \end {array} \]	✓	✓	✓	✓	0.504
5545	2678	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y {y^{\prime }}^{2}+2 a x y^{\prime }-a y&=0 \end {array} \]	✓	✓	✓	✓	0.504
5546	7095	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y {y^{\prime }}^{2}-4 a^{2} x y^{\prime }+a^{2} y&=0 \end {array} \]	✓	✓	✓	✓	0.504
5547	8911	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y {y^{\prime }}^{2}+a x y^{\prime }+b y&=0 \end {array} \]	✓	✓	✓	✓	0.504
5548	12372	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y {y^{\prime }}^{2}-\left (-2 b x +a \right ) y^{\prime }-b y&=0 \end {array} \]	✓	✓	✓	✗	0.504
5549	13008	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y {y^{\prime }}^{2}+x^{3} y^{\prime }-x^{2} y&=0 \end {array} \]	✗	✓	✓	✗	0.504
5550	14925	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y {y^{\prime }}^{2}+\left (x -y\right ) y^{\prime }-x&=0 \end {array} \]	✓	✓	✓	✓	0.504
5551	17563	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y {y^{\prime }}^{2}-\left (x +y\right ) y^{\prime }+y&=0 \end {array} \]	✓	✓	✓	✓	0.504
5552	17604	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y {y^{\prime }}^{2}-\left (y x +1\right ) y^{\prime }+x&=0 \end {array} \]	✓	✓	✓	✓	0.504
5553	21587	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y {y^{\prime }}^{2}+\left (x -y^{2}\right ) y^{\prime }-y x&=0 \end {array} \]	✓	✓	✓	✓	0.504
5554	25370	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y {y^{\prime }}^{2}+y&=a \end {array} \]	✓	✓	✓	✓	0.504
5555	3819	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x +y\right ) {y^{\prime }}^{2}+2 y^{\prime } x -y&=0 \end {array} \]	✓	✓	✓	✓	0.505
5556	7599	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (2 x -y\right ) {y^{\prime }}^{2}-2 \left (1-x \right ) y^{\prime }+2-y&=0 \end {array} \]	✓	✓	✓	✓	0.505
5557	12325	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y {y^{\prime }}^{2}+\left (5-4 x \right ) y^{\prime }+2 y&=0 \end {array} \]	✓	✓	✓	✗	0.505
5558	14684	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 9 y {y^{\prime }}^{2}+4 x^{3} y^{\prime }-4 x^{2} y&=0 \end {array} \]	✓	✓	✓	✗	0.505
5559	19559	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (1-a y\right ) {y^{\prime }}^{2}&=a y \end {array} \]	✓	✓	✓	✓	0.505
5560	19588	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-a y\right ) {y^{\prime }}^{2}-2 y y^{\prime } x +y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.505
5561	22801	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y {y^{\prime }}^{2}+\left (x +y\right ) y^{\prime }+1&=0 \end {array} \]	✓	✓	✓	✗	0.505
5562	23033	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y {y^{\prime }}^{2}+\left (x^{2}+y^{2}\right ) y^{\prime }+y x&=0 \end {array} \]	✓	✓	✓	✓	0.505
5563	24854	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y {y^{\prime }}^{2}+\left (x^{2}-y^{2}\right ) y^{\prime }-y x&=0 \end {array} \]	✓	✓	✓	✗	0.505
5564	1082	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y {y^{\prime }}^{2}-\left (x^{2}-y^{2}\right ) y^{\prime }-y x&=0 \end {array} \]	✓	✓	✓	✓	0.506
5565	1333	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y {y^{\prime }}^{2}+\left (a +x^{2}-y^{2}\right ) y^{\prime }-y x&=0 \end {array} \]	✓	✓	✓	✓	0.506
5566	3829	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y {y^{\prime }}^{2}-\left (a -b \,x^{2}+y^{2}\right ) y^{\prime }-b x y&=0 \end {array} \]	✓	✓	✓	✓	0.506
5567	6513	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y {y^{\prime }}^{2}+\left (3 x^{2}-2 y^{2}\right ) y^{\prime }-6 y x&=0 \end {array} \]	✓	✓	✓	✗	0.506
5568	9308	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (x -2 y\right ) {y^{\prime }}^{2}-2 y y^{\prime } x -2 y x +y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.506
5569	10119	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (x -2 y\right ) {y^{\prime }}^{2}+6 y y^{\prime } x -2 y x +y^{2}&=0 \end {array} \]	✓	✓	✓	✗	0.506
5570	10347	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} {y^{\prime }}^{2}&=a^{2} \end {array} \]	✓	✓	✓	✓	0.506
5571	14148	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} {y^{\prime }}^{2}-a^{2}+y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.506
5572	16150	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} {y^{\prime }}^{2}-3 y^{\prime } x +y&=0 \end {array} \]	✓	✓	✓	✓	0.506
5573	20606	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} {y^{\prime }}^{2}-6 x^{3} y^{\prime }+4 x^{2} y&=0 \end {array} \]	✓	✓	✓	✗	0.506
5574	21217	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} {y^{\prime }}^{2}-4 a y y^{\prime }+4 a^{2}-4 a x +y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.506
5575	21518	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} {y^{\prime }}^{2}-\left (x +1\right ) y y^{\prime }+x&=0 \end {array} \]	✓	✓	✓	✓	0.506
5576	26843	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} {y^{\prime }}^{2}+2 y y^{\prime } x +x^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.506
5577	28197	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} {y^{\prime }}^{2}+2 y y^{\prime } x +a -y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.506
5578	344	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} {y^{\prime }}^{2}-2 y y^{\prime } x -x^{2}+2 y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.507
5579	1510	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} {y^{\prime }}^{2}-2 y y^{\prime } x +a -x^{2}+2 y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.507
5580	2244	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} {y^{\prime }}^{2}+2 a x y y^{\prime }+\left (-1+a \right ) b +a \,x^{2}+\left (1-a \right ) y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.507
5581	2423	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (1-y^{2}\right ) {y^{\prime }}^{2}&=1 \end {array} \]	✓	✓	✓	✓	0.507
5582	3127	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (a^{2}-y^{2}\right ) {y^{\prime }}^{2}&=y^{2} \end {array} \]	✓	✓	✓	✓	0.507
5583	3868	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (a^{2} x^{2}-y^{2}\right ) {y^{\prime }}^{2}-2 y y^{\prime } x +x^{2} \left (a^{2}-1\right )&=0 \end {array} \]	✓	✓	✓	✓	0.507
5584	5563	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (\left (1-a \right ) x^{2}+y^{2}\right ) {y^{\prime }}^{2}+2 a x y y^{\prime }+x^{2}+\left (1-a \right ) y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.507
5585	6711	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (\left (-4 a^{2}+1\right ) x^{2}+y^{2}\right ) {y^{\prime }}^{2}-8 a^{2} x y y^{\prime }+x^{2}+\left (-4 a^{2}+1\right ) y^{2}&=0 \end {array} \]	✓	✓	✓	✗	0.507
5586	9282	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2} \left (-a^{2}+1\right )+y^{2}\right ) {y^{\prime }}^{2}+2 a^{2} x y y^{\prime }+x^{2}+\left (-a^{2}+1\right ) y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.507
5587	18686	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x +y\right )^{2} {y^{\prime }}^{2}&=y^{2} \end {array} \]	✓	✓	✓	✓	0.507
5588	21207	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x +y\right )^{2} {y^{\prime }}^{2}-\left (x^{2}-y x -2 y^{2}\right ) y^{\prime }-y \left (x -y\right )&=0 \end {array} \]	✓	✓	✓	✓	0.507
5589	21220	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (a^{2}-\left (x -y\right )^{2}\right ) {y^{\prime }}^{2}+2 a^{2} y^{\prime }+a^{2}-\left (x -y\right )^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.507
5590	24063	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y^{2} {y^{\prime }}^{2}+2 y y^{\prime } x -1+x^{2}+y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.507
5591	26121	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 y^{2} {y^{\prime }}^{2}-2 y y^{\prime } x -x^{2}+4 y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.507
5592	26987	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 y^{2} {y^{\prime }}^{2}+2 \left (1+3 x \right ) x y y^{\prime }+3 x^{3}&=0 \end {array} \]	✓	✓	✓	✓	0.507
5593	28199	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-4 y^{2}\right ) {y^{\prime }}^{2}+6 y y^{\prime } x -4 x^{2}+y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.507
5594	2426	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 9 y^{2} {y^{\prime }}^{2}-3 y^{\prime } x +y&=0 \end {array} \]	✓	✓	✓	✓	0.508
5595	4373	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (2-3 y\right )^{2} {y^{\prime }}^{2}&=4-4 y \end {array} \]	✓	✓	✓	✗	0.508
5596	6879	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (-a^{2}+1\right ) y^{2} {y^{\prime }}^{2}-3 a^{2} x y y^{\prime }-a^{2} x^{2}+y^{2}&=0 \end {array} \]	✓	✓	✓	✓	0.508
5597	11852	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (a -b \right ) y^{2} {y^{\prime }}^{2}-2 b x y y^{\prime }-a b -b \,x^{2}+a y^{2}&=0 \end {array} \]	✓	✓	✓	✗	0.508
5598	14853	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} a^{2} \left (b^{2}-\left (c x -a y\right )^{2}\right ) {y^{\prime }}^{2}+2 a \,b^{2} c y^{\prime }+c^{2} \left (b^{2}-\left (c x -a y\right )^{2}\right )&=0 \end {array} \]	✓	✓	✓	✓	0.508
5599	19777	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y^{2} {y^{\prime }}^{2}-y^{3} y^{\prime }+a^{2} x&=0 \end {array} \]	✓	✓	✓	✓	0.508
5600	21150	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y^{2} {y^{\prime }}^{2}+\left (a -x^{3}-y^{3}\right ) y^{\prime }+x^{2} y&=0 \end {array} \]	✓	✓	✓	✓	0.508