Problems 7301 to 7400

Table 5.193: Problems not solved by Sympy


#	ODE	Mathematica	Maple	Sympy

24914	\[ {} 4 y^{3} {y^{\prime }}^{2}-4 x y^{\prime }+y = 0 \]	✓	✓	✗

24915	\[ {} 4 y^{3} {y^{\prime }}^{2}+4 x y^{\prime }+y = 0 \]	✓	✓	✗

24916	\[ {} {y^{\prime }}^{3}+x {y^{\prime }}^{2}-y = 0 \]	✓	✓	✗

24917	\[ {} y^{4} {y^{\prime }}^{3}-6 x y^{\prime }+2 y = 0 \]	✓	✓	✗

24919	\[ {} {y^{\prime }}^{2}+4 x^{4} y^{\prime }-12 x^{4} y = 0 \]	✗	✗	✗

24920	\[ {} 2 x {y^{\prime }}^{3}-6 y {y^{\prime }}^{2}+x^{4} = 0 \]	✓	✓	✗

24927	\[ {} x {y^{\prime }}^{2}+\left (x -y\right ) y^{\prime }+1-y = 0 \]	✓	✓	✗

24928	\[ {} y^{\prime } \left (x y^{\prime }-y+k \right )+a = 0 \]	✓	✓	✗

24929	\[ {} x^{6} {y^{\prime }}^{3}-3 x y^{\prime }-3 y = 0 \]	✓	✓	✗

24930	\[ {} y = x^{6} {y^{\prime }}^{3}-x y^{\prime } \]	✗	✓	✗

24931	\[ {} {y^{\prime }}^{4} x -2 {y^{\prime }}^{3} y+12 x^{3} = 0 \]	✓	✓	✗

24932	\[ {} x {y^{\prime }}^{3}-y {y^{\prime }}^{2}+1 = 0 \]	✓	✓	✗

24933	\[ {} y = x y^{\prime }+{y^{\prime }}^{n} \]	✓	✓	✗

24934	\[ {} {y^{\prime }}^{2}-x y^{\prime }-y = 0 \]	✓	✓	✗

24935	\[ {} 2 {y^{\prime }}^{3}+x y^{\prime }-2 y = 0 \]	✗	✓	✗

24936	\[ {} 2 {y^{\prime }}^{2}+x y^{\prime }-2 y = 0 \]	✓	✓	✗

24937	\[ {} {y^{\prime }}^{3}+2 x y^{\prime }-y = 0 \]	✗	✓	✗

24938	\[ {} 4 x {y^{\prime }}^{2}-3 y y^{\prime }+3 = 0 \]	✓	✓	✗

24939	\[ {} {y^{\prime }}^{3}-x y^{\prime }+2 y = 0 \]	✓	✓	✗

24940	\[ {} 5 {y^{\prime }}^{2}+6 x y^{\prime }-2 y = 0 \]	✓	✓	✗

24941	\[ {} 2 x {y^{\prime }}^{2}+\left (2 x -y\right ) y^{\prime }+1-y = 0 \]	✓	✓	✗

24942	\[ {} 5 {y^{\prime }}^{2}+3 x y^{\prime }-y = 0 \]	✓	✓	✗

24943	\[ {} {y^{\prime }}^{2}+3 x y^{\prime }-y = 0 \]	✓	✓	✗

24944	\[ {} y = x y^{\prime }+x^{3} {y^{\prime }}^{2} \]	✓	✓	✗

24945	\[ {} 8 y = {y^{\prime }}^{2}+3 x^{2} \]	✓	✓	✗

24948	\[ {} {y^{\prime }}^{2}+x y^{2} y^{\prime }+y^{3} = 0 \]	✓	✓	✗

24949	\[ {} 4 x {y^{\prime }}^{2}+4 y y^{\prime }-y^{4} = 0 \]	✓	✓	✗

24951	\[ {} 9 {y^{\prime }}^{2}+12 y^{4} y^{\prime } x +4 y^{5} = 0 \]	✓	✓	✗

24952	\[ {} 2 x y^{2} {y^{\prime }}^{2}-y^{3} y^{\prime }-1 = 0 \]	✓	✓	✗

24954	\[ {} 9 y^{2} {y^{\prime }}^{2}-3 x y^{\prime }+y = 0 \]	✓	✓	✗

24955	\[ {} y^{4} {y^{\prime }}^{3}-6 x y^{\prime }+2 y = 0 \]	✓	✓	✗

24956	\[ {} x {y^{\prime }}^{2}-y y^{\prime }-y = 0 \]	✓	✓	✗

24957	\[ {} y^{2} {y^{\prime }}^{3}-x y^{\prime }+y = 0 \]	✗	✓	✗

24960	\[ {} y^{3} {y^{\prime }}^{3}-x y^{\prime }+y = 0 \]	✗	✓	✗

24961	\[ {} x^{3} {y^{\prime }}^{2}+x^{2} y y^{\prime }+4 = 0 \]	✓	✓	✗

24963	\[ {} 9 {y^{\prime }}^{2}+3 y^{4} y^{\prime } x +y^{5} = 0 \]	✓	✓	✗

24964	\[ {} 4 y^{3} {y^{\prime }}^{2}-4 x y^{\prime }+y = 0 \]	✓	✓	✗

24966	\[ {} 5 {y^{\prime }}^{2}+6 x y^{\prime }-2 y = 0 \]	✓	✓	✗

24968	\[ {} 4 x^{5} {y^{\prime }}^{2}+12 x^{4} y y^{\prime }+9 = 0 \]	✓	✓	✗

24969	\[ {} 4 y^{2} {y^{\prime }}^{3}-2 x y^{\prime }+y = 0 \]	✓	✓	✗

24970	\[ {} {y^{\prime }}^{4}+x y^{\prime }-3 y = 0 \]	✗	✓	✗

24971	\[ {} x {y^{\prime }}^{2}+\left (k -x -y\right ) y^{\prime }+y = 0 \]	✓	✓	✗

24972	\[ {} x^{2} {y^{\prime }}^{3}-2 x y {y^{\prime }}^{2}+y^{2} y^{\prime }+1 = 0 \]	✓	✓	✗

24973	\[ {} 16 x {y^{\prime }}^{2}+8 y y^{\prime }+y^{6} = 0 \]	✗	✓	✗

24975	\[ {} {y^{\prime }}^{3}-2 x y^{\prime }+y = 0 \]	✗	✓	✗

24976	\[ {} 9 x y^{4} {y^{\prime }}^{2}-3 y^{5} y^{\prime }-1 = 0 \]	✓	✓	✗

24977	\[ {} x^{2} {y^{\prime }}^{2}-\left (2 x y+1\right ) y^{\prime }+1+y^{2} = 0 \]	✓	✓	✗

24979	\[ {} x {y^{\prime }}^{3}-2 y {y^{\prime }}^{2}+4 x^{2} = 0 \]	✓	✓	✗

24980	\[ {} \left (1+y^{\prime }\right )^{2} \left (y-x y^{\prime }\right ) = 1 \]	✓	✓	✗

24981	\[ {} {y^{\prime }}^{3}-{y^{\prime }}^{2}+x y^{\prime }-y = 0 \]	✓	✓	✗

24984	\[ {} {y^{\prime }}^{2}+y y^{\prime }-x -1 = 0 \]	✓	✓	✗

24988	\[ {} y y^{\prime \prime }+{y^{\prime }}^{2} = 0 \]	✓	✓	✗

24989	\[ {} y^{2} y^{\prime \prime }+{y^{\prime }}^{3} = 0 \]	✓	✓	✗

24990	\[ {} \left (1+y\right ) y^{\prime \prime } = {y^{\prime }}^{2} \]	✓	✓	✗

24994	\[ {} y^{\prime \prime } = 2 {y^{\prime }}^{3} y \]	✓	✓	✗

24995	\[ {} -{y^{\prime }}^{2}+{y^{\prime }}^{3}+y y^{\prime \prime } = 0 \]	✓	✓	✗

24997	\[ {} {y^{\prime }}^{3}+y y^{\prime \prime } = 0 \]	✓	✓	✗

25001	\[ {} y^{\prime \prime }+{\mathrm e}^{-2 y} = 0 \]	✓	✓	✗

25002	\[ {} y^{\prime \prime }+{\mathrm e}^{-2 y} = 0 \]	✓	✓	✗

25003	\[ {} 2 y^{\prime \prime } = \sin \left (2 y\right ) \]	✓	✗	✗

25004	\[ {} 2 y^{\prime \prime } = \sin \left (2 y\right ) \]	✓	✗	✗

25008	\[ {} 2 y^{\prime \prime } = {y^{\prime }}^{3} \sin \left (2 x \right ) \]	✓	✓	✗

25011	\[ {} y^{\prime \prime } = \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}} \]	✓	✓	✗

25012	\[ {} y y^{\prime \prime } = {y^{\prime }}^{2} \left (1-y^{\prime } \sin \left (y\right )-\cos \left (y\right ) y y^{\prime }\right ) \]	✓	✓	✗

25013	\[ {} \left (1+y^{2}\right ) y^{\prime \prime }+{y^{\prime }}^{3}+y^{\prime } = 0 \]	✓	✓	✗

25014	\[ {} \left (1+{y^{\prime }}^{2}+y y^{\prime \prime }\right )^{2} = \left (1+{y^{\prime }}^{2}\right )^{3} \]	✓	✓	✗

25020	\[ {} {y^{\prime \prime }}^{2}-2 y^{\prime \prime }+{y^{\prime }}^{2}-2 x y^{\prime }+x^{2} = 0 \]	✗	✓	✗

25022	\[ {} {y^{\prime \prime }}^{3} = 12 y^{\prime } \left (x y^{\prime \prime }-2 y^{\prime }\right ) \]	✗	✓	✗

25023	\[ {} 3 y y^{\prime } y^{\prime \prime } = -1+{y^{\prime }}^{3} \]	✓	✓	✗

25024	\[ {} 4 y {y^{\prime }}^{2} y^{\prime \prime } = 3+{y^{\prime }}^{4} \]	✓	✓	✗

25071	\[ {} \left (t^{2}+3 y^{2}\right ) y^{\prime } = -2 t y \]	✓	✓	✗

25072	\[ {} y^{\prime } = t^{2}+y^{2} \]	✓	✓	✗

25088	\[ {} -y+y^{\prime } = y^{2} \]	✓	✓	✗

25089	\[ {} y^{\prime } = 4 t y^{2} \]	✓	✓	✗

25093	\[ {} \frac {\left (u^{2}+1\right ) y^{\prime }}{y} = u \]	✓	✓	✗

25121	\[ {} y^{\prime } = \frac {4 t -3 y}{-y+t} \]	✓	✓	✗

25123	\[ {} y^{\prime } = \frac {y^{2}+2 t y}{t^{2}+t y} \]	✓	✓	✗

25126	\[ {} t y^{\prime } = y+\sqrt {t^{2}-y^{2}} \]	✗	✓	✗

25129	\[ {} y+y^{\prime } = y^{2} \]	✓	✓	✗

25142	\[ {} y^{\prime } = \tan \left (y\right )+\frac {2 \cos \left (t \right )}{\cos \left (y\right )} \]	✓	✓	✗

25145	\[ {} y+2 t +2 t y y^{\prime } = 0 \]	✗	✗	✗

25147	\[ {} 2 t^{2}-y+\left (t +y^{2}\right ) y^{\prime } = 0 \]	✗	✗	✗

25149	\[ {} 3 y-5 t +2 y y^{\prime }-t y^{\prime } = 0 \]	✓	✓	✗

25150	\[ {} 2 t y+\left (t^{2}+3 y^{2}\right ) y^{\prime } = 0 \]	✗	✓	✗

25154	\[ {} a t +b y-\left (c t +d y\right ) y^{\prime } = 0 \]	✓	✓	✗

25161	\[ {} y^{\prime } = t +y^{2} \]	✓	✓	✗

25162	\[ {} y^{\prime } = y^{3}-y \]	✓	✓	✗

25163	\[ {} y^{\prime } = 1+\left (-y+t \right )^{2} \]	✓	✓	✗

25166	\[ {} y^{\prime } = \sqrt {y} \]	✓	✓	✗

25203	\[ {} y^{\prime \prime }-y y^{\prime } = 6 \]	✓	✓	✗

25206	\[ {} y^{\prime \prime }+\sin \left (y\right ) = 0 \]	✓	✓	✗

25261	\[ {} y^{\prime \prime \prime \prime }+y^{4} = 0 \]	✗	✗	✗

25262	\[ {} y^{\left (5\right )}+t y^{\prime \prime }-3 y = 0 \]	✗	✗	✗

25295	\[ {} [y_{1}^{\prime \prime }\left (t \right )+2 y_{1} \left (t \right ) = -3 y_{2} \left (t \right ), y_{2}^{\prime \prime }\left (t \right )+2 y_{2}^{\prime }\left (t \right )-9 y_{2} \left (t \right ) = 6 y_{1} \left (t \right )] \]	✓	✓	✗

25296	\[ {} y^{\prime \prime }+y y^{\prime } = 0 \]	✓	✓	✗

25299	\[ {} y^{\prime \prime }+t y^{\prime }+\left (t^{2}+1\right )^{2} y^{2} = 0 \]	✗	✗	✗

25300	\[ {} 3 t^{2} y^{\prime \prime }+2 t y^{\prime }+y = {\mathrm e}^{2 t} \]	✓	✓	✗

25301	\[ {} y^{\prime \prime }+\sqrt {y^{\prime }}+y = t \]	✗	✗	✗

25302	\[ {} y^{\prime \prime }+\sqrt {t}\, y^{\prime }+y = \sqrt {t} \]	✗	✗	✗

25304	\[ {} y^{\prime \prime }+2 y+t \sin \left (y\right ) = 0 \]	✗	✗	✗

5.3.74 Problems 7301 to 7400