2.3.194 Problems 19301 to 19400

Table 2.971: Main lookup table. Sorted by time used to solve.

#	ID	ODE	Solved?	Maple	Mma	Sympy	time(sec)
19301	26341	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -\frac {\sin \left (\frac {x}{y}\right )}{y}+\frac {x \sin \left (\frac {x}{y}\right ) y^{\prime }}{y^{2}}&=0 \end {array} \]	✓	✓	✓	✓	6.457
19302	1578	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 1+y+\left (1-x \right ) y^{\prime }&=0 \end {array} \]	✓	✓	✓	✓	6.461
19303	1639	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x y^{3}+\cos \left (x \right ) y+\left (3 y^{2} x^{2}+\sin \left (x \right )\right ) y^{\prime }&=0 \end {array} \]	✓	✓	✓	✓	6.463
19304	3577	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 1&=\frac {y}{1-y^{2} x^{2}}+\frac {x y^{\prime }}{1-y^{2} x^{2}} \end {array} \]	✓	✓	✓	✓	6.468
19305	1001	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y^{4} x +\sin \left (y\right )+\left (4 x^{2} y^{3}+x \cos \left (y\right )\right ) y^{\prime }&=0 \end {array} \]	✓	✓	✓	✓	6.475
19306	11308	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {y^{\prime } x +y}{1-y^{2} x^{2}}+x&=0 \end {array} \]	✓	✓	✓	✓	6.477
19307	7511	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x \left (1+\sqrt {x^{2}-y}\right )&=\sqrt {x^{2}-y}\, y^{\prime } \end {array} \]	✓	✓	✓	✓	6.479
19308	17473	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \ln \left (y\right ) x +y x +\left (y \ln \left (x \right )+y x \right ) y^{\prime }&=0 \end {array} \]	✓	✓	✓	✓	6.479
19309	694	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {\mathrm e}^{y^{2}}-\csc \left (y\right ) \csc \left (x \right )^{2}+\left (2 x y \,{\mathrm e}^{y^{2}}-\csc \left (y\right ) \cot \left (y\right ) \cot \left (x \right )\right ) y^{\prime }&=0 \end {array} \]	✓	✓	✓	✓	6.480
19310	754	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 1+y^{2} \sin \left (2 x \right )-2 y \cos \left (x \right )^{2} y^{\prime }&=0 \end {array} \]	✓	✓	✓	✓	6.481
19311	24987	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {x}{\left (x^{2}+y^{2}\right )^{{3}/{2}}}+\frac {y y^{\prime }}{\left (x^{2}+y^{2}\right )^{{3}/{2}}}&=0 \end {array} \]	✓	✓	✓	✓	6.482
19312	6034	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 x^{2} \left (1+\ln \left (y\right )\right )+\left (\frac {x^{3}}{y}-2 y\right ) y^{\prime }&=0 \end {array} \]	✓	✓	✓	✗	6.486
19313	1098	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {y-y^{\prime } x}{\left (x +y\right )^{2}}+y^{\prime }&=1 \end {array} \]	✓	✓	✓	✓	6.488
19314	20266	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {4 y^{2}-2 x^{2}}{4 x y^{2}-x^{3}}+\frac {\left (8 y^{2}-x^{2}\right ) y^{\prime }}{4 y^{3}-x^{2} y}&=0 \end {array} \]	✓	✓	✓	✗	6.488
19315	9113	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (3 x^{2}-y^{2}\right ) y^{\prime }-2 y x&=0 \end {array} \]	✓	✓	✓	✓	6.491
19316	9170	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y x -1+\left (x^{2}-y x \right ) y^{\prime }&=0 \end {array} \]	✓	✓	✓	✓	6.491
19317	5220	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +y+3 x^{3} y^{4} y^{\prime }&=0 \end {array} \]	✓	✓	✓	✗	6.497
19318	9032	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {\mathrm e}^{x}+\left ({\mathrm e}^{x} \cot \left (y\right )+2 \csc \left (y\right ) y\right ) y^{\prime }&=0 \end {array} \]	✓	✓	✓	✗	6.498
19319	7846	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (2+x \right ) \sin \left (y\right )+x \cos \left (y\right ) y^{\prime }&=0 \end {array} \]	✓	✓	✓	✓	6.499
19320	9790	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y+\left (x -2 x^{2} y^{3}\right ) y^{\prime }&=0 \end {array} \]	✓	✓	✓	✗	6.499
19321	6689	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x +3 y^{2}+2 y y^{\prime } x&=0 \end {array} \]	✓	✓	✓	✓	6.500
19322	4823	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y+\left (2 x -{\mathrm e}^{y} y\right ) y^{\prime }&=0 \end {array} \]	✓	✓	✓	✓	6.501
19323	6844	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \ln \left (y\right ) y-2 y x +\left (x +y\right ) y^{\prime }&=0 \end {array} \]	✓	✓	✓	✓	6.502
19324	8738	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2}+y x +1+\left (x^{2}+y x +1\right ) y^{\prime }&=0 \end {array} \]	✓	✓	✓	✓	6.506
19325	12301	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{3}+x y^{3}+3 y^{2} y^{\prime }&=0 \end {array} \]	✗	✓	✓	✗	6.506
19326	4898	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -y+y^{\prime } x&=\left (1+y^{2}\right ) y^{\prime } \end {array} \]	✓	✓	✓	✓	6.508
19327	27261	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y-y^{\prime } x&=x y^{3} y^{\prime } \end {array} \]	✓	✓	✓	✓	6.510
19328	14425	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x&=x^{5}+x^{3} y^{2}+y \end {array} \]	✓	✓	✓	✓	6.512
19329	8582	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x +y\right ) y^{\prime }&=y-x \end {array} \]	✓	✓	✓	✓	6.514
19330	1793	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x&=y+x^{2}+9 y^{2} \end {array} \]	✓	✓	✓	✓	6.518
19331	11479	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x -y+y^{2}&=0 \end {array} \]	✓	✓	✓	✗	6.522
19332	1617	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -y+y^{\prime } x&=2 x^{2}-3 \end {array} \]	✓	✓	✓	✓	6.523
19333	24191	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +y&=y^{\prime } \sqrt {y x} \end {array} \]	✓	✓	✓	✓	6.524
19334	4439	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y-x y^{2}+\left (y^{2} x^{2}+x \right ) y^{\prime }&=0 \end {array} \]	✓	✓	✓	✓	6.526
19335	11777	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -y+y^{\prime } x&=x^{2} y^{4} \left (y^{\prime } x +y\right ) \end {array} \]	✓	✓	✓	✗	6.526
19336	12320	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +y+x^{2} y^{5} y^{\prime }&=0 \end {array} \]	✓	✓	✓	✗	6.526
19337	27482	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x y^{2}-y+y^{\prime } x&=0 \end {array} \]	✓	✓	✓	✓	6.526
19338	22037	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+\frac {y}{x}&=\sin \left (x \right ) \end {array} \]	✓	✓	✓	✗	6.528
19339	19352	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {2 y}{x}+\frac {x^{3}}{y}+x \tan \left (\frac {y}{x^{2}}\right ) \end {array} \]	✓	✓	✓	✓	6.529
19340	685	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x -3 y&=x^{4} \end {array} \]	✓	✓	✓	✓	6.530
19341	17933	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+y&=\frac {1}{{\mathrm e}^{2 x}+1} \end {array} \]	✓	✓	✓	✓	6.531
19342	4382	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}+1\right ) y^{\prime }+2 y x&=\cot \left (x \right ) \end {array} \]	✓	✓	✓	✗	6.535
19343	19871	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+y&=2 x \,{\mathrm e}^{-x}+x^{2} \end {array} \]	✓	✓	✓	✗	6.535
19344	13003	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+\cot \left (x \right ) y&=2 x \csc \left (x \right ) \end {array} \]	✓	✓	✓	✗	6.537
19345	7702	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y-x^{3}&=y^{\prime } x \end {array} \]	✓	✓	✓	✓	6.538
19346	20418	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y-x +x y \cot \left (x \right )+y^{\prime } x&=0 \end {array} \]	✓	✓	✓	✗	6.541
19347	22565	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }-2 y x&=6 x \,{\mathrm e}^{x^{2}} \end {array} \]	✓	✓	✓	✗	6.541
19348	210	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \ln \left (x \right ) y^{\prime }+y&=3 x^{3} \end {array} \]	✓	✓	✓	✓	6.542
19349	25501	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y-2 y x -x^{2}+x^{2} y^{\prime }&=0 \end {array} \]	✓	✓	✓	✓	6.542
19350	11387	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +y&=x^{4} y^{3} \end {array} \]	✓	✓	✓	✗	6.543
19351	21174	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} y^{\prime } x +y^{3}&=\cos \left (x \right ) x \end {array} \]	✓	✓	✓	✗	6.543
19352	3011	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +y&=x y^{2} \end {array} \]	✓	✓	✓	✓	6.548
19353	11527	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left ({\mathrm e}^{y}-2 y x \right ) y^{\prime }&=y^{2} \end {array} \]	✓	✓	✓	✓	6.549
19354	4262	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y-y^{\prime } x&=y^{\prime } y^{2} {\mathrm e}^{y} \end {array} \]	✓	✓	✓	✓	6.550
19355	17983	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +2&=x^{3} \left (-1+y\right ) y^{\prime } \end {array} \]	✓	✓	✓	✓	6.553
19356	5011	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x&=2 x^{2} y+\ln \left (y\right ) y \end {array} \]	✓	✓	✓	✓	6.554
19357	14482	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } \sin \left (2 x \right )&=2 y+2 \cos \left (x \right ) \end {array} \]	✓	✓	✓	✓	6.554
19358	15087	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime \prime }+{y^{\prime }}^{2}&=0 \end {array} \]	✓	✓	✓	✗	6.555
19359	21070	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime } x&=y^{\prime }+{y^{\prime }}^{3} \end {array} \]	✓	✓	✓	✗	6.555
19360	6040	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-k y&=0 \end {array} \]	✓	✓	✓	✗	6.558
19361	9441	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }&=2 y^{\prime } x +{y^{\prime }}^{2} \end {array} \]	✓	✓	✓	✓	6.559
19362	12030	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y y^{\prime \prime }&=1+{y^{\prime }}^{2} \end {array} \]	✓	✓	✓	✗	6.559
19363	5847	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime \prime }-{y^{\prime }}^{2}&=0 \end {array} \]	✗	✓	✓	✗	6.560
19364	14971	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime } x +y^{\prime }&=4 x \end {array} \]	✓	✓	✓	✓	6.560
19365	16451	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}+2 y^{\prime }\right ) y^{\prime \prime }+2 y^{\prime } x&=0\\ y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]	✓	✓	✓	✗	6.563
19366	15111	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime \prime }&=y^{2} y^{\prime }+{y^{\prime }}^{2}\\ y \left (0\right )&=-{\frac {1}{2}}\\ y^{\prime }\left (0\right )&=1\\ \end {array} \]	✓	✓	✓	✓	6.565
19367	19128	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&={\mathrm e}^{y} y^{\prime }\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=2\\ \end {array} \]	✓	✓	✓	✓	6.570
19368	9391	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=1+{y^{\prime }}^{2} \end {array} \]	✓	✓	✓	✗	6.573
19369	12967	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+{y^{\prime }}^{2}&=1 \end {array} \]	✓	✓	✓	✗	6.573
19370	14691	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime \prime }&={y^{\prime }}^{2} \end {array} \]	✓	✓	✓	✗	6.573
19371	19770	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (-y x +1\right ) y^{\prime }&=y^{2} \end {array} \]	✓	✓	✓	✗	6.574
19372	27281	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x +3 y+1+\left (2 y-3 x +5\right ) y^{\prime }&=0 \end {array} \]	✓	✓	✓	✓	6.574
19373	27229	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x&=\sqrt {x^{2}+y^{2}} \end {array} \]	✓	✓	✓	✗	6.575
19374	7939	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2}&=\left (x^{3}-y x \right ) y^{\prime } \end {array} \]	✓	✓	✓	✓	6.576
19375	16347	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{3}+y&=\left (x^{3} y^{2}-x \right ) y^{\prime } \end {array} \]	✓	✓	✓	✓	6.576
19376	24258	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime \prime }+{y^{\prime }}^{2}-2 y y^{\prime }&=0 \end {array} \]	✓	✓	✓	✓	6.576
19377	18987	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +y&=x^{2} y^{\prime }+y^{2} \end {array} \]	✓	✓	✓	✓	6.577
19378	8265	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime } x&=x^{2} y^{\prime }+y^{2} \end {array} \]	✓	✓	✓	✓	6.583
19379	23195	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left ({\mathrm e}^{x}-3 y^{2} x^{2}\right ) y^{\prime }+{\mathrm e}^{x} y&=2 x y^{3} \end {array} \]	✓	✓	✓	✓	6.584
19380	1179	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 x {y^{\prime }}^{2}&=0 \end {array} \]	✓	✓	✓	✓	6.585
19381	12089	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y+x^{2}&=y^{\prime } x \end {array} \]	✗	✓	✓	✗	6.588
19382	22581	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +y&=x^{2} \cos \left (x \right ) \end {array} \]	✓	✓	✓	✓	6.590
19383	4947	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 6 x +4 y+3+\left (3 x +2 y+2\right ) y^{\prime }&=0 \end {array} \]	✓	✓	✓	✓	6.591
19384	6281	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \cos \left (x +y\right )&=x \sin \left (x +y\right )+x \sin \left (x +y\right ) y^{\prime } \end {array} \]	✓	✓	✓	✗	6.594
19385	7543	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+y^{\prime } x&=1 \end {array} \]	✓	✓	✓	✓	6.594
19386	23201	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} {\mathrm e}^{y x}+\cos \left (x \right )+\left ({\mathrm e}^{y x}+x y \,{\mathrm e}^{y x}\right ) y^{\prime }&=0 \end {array} \]	✓	✓	✓	✗	6.596
19387	23596	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } \ln \left (x -y\right )&=1+\ln \left (x -y\right ) \end {array} \]	✓	✓	✓	✓	6.596
19388	22514	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+2 y x&={\mathrm e}^{-x^{2}} \end {array} \]	✓	✓	✓	✓	6.597
19389	26431	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2}-3 y x -2 x^{2}&=\left (x^{2}-y x \right ) y^{\prime } \end {array} \]	✓	✓	✓	✗	6.597
19390	27506	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}+1\right ) y^{\prime }+2 y x&=4 x^{3} \end {array} \]	✓	✓	✓	✓	6.598
19391	20977	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {\mathrm e}^{x} \sin \left (y\right )+{\mathrm e}^{x} \cos \left (y\right ) y^{\prime }&=y \sin \left (y x \right )+x \sin \left (y x \right ) y^{\prime } \end {array} \]	✓	✓	✓	✗	6.599
19392	18813	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}+1\right ) y^{\prime \prime }+y^{\prime } x&=0 \end {array} \]	✓	✓	✓	✓	6.602
19393	13894	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x \,{\mathrm e}^{y}+y-x^{2}\right ) y^{\prime \prime }&=2 y x -{\mathrm e}^{y}-x \end {array} \]	✓	✓	✓	✗	6.603
19394	19326	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {\mathrm e}^{x} \left (x +1\right )&=\left (x \,{\mathrm e}^{x}-{\mathrm e}^{y} y\right ) y^{\prime } \end {array} \]	✓	✓	✓	✓	6.604
19395	7932	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{4}+x^{6}-x^{3} y^{3} y^{\prime }&=0 \end {array} \]	✓	✓	✓	✓	6.606
19396	7606	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=1+3 \tan \left (x \right ) y \end {array} \]	✓	✓	✓	✓	6.611
19397	16417	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=1+\frac {y}{x}-\frac {y^{2}}{x^{2}} \end {array} \]	✓	✓	✓	✓	6.612
19398	27477	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {2 x y \,{\mathrm e}^{\frac {x^{2}}{y^{2}}}}{y^{2}+y^{2} {\mathrm e}^{\frac {x^{2}}{y^{2}}}+2 x^{2} {\mathrm e}^{\frac {x^{2}}{y^{2}}}} \end {array} \]	✓	✓	✓	✓	6.613
19399	17161	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {x +2 y+2}{y-2 x} \end {array} \]	✓	✓	✓	✓	6.614
19400	22552	\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 x^{2} \ln \left (y\right )+\frac {x^{3} y^{\prime }}{y}&=0 \end {array} \]	✓	✓	✓	✓	6.614