2.3.12 Problems 1101 to 1200

Table 2.597: Main lookup table. Sorted by time used to solve.

#	ID	ODE	Solved?	Maple	Mma	Sympy	time(sec)
1101	6725	\begin{align*} y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.102
1102	7190	\begin{align*} x^{3} y^{\prime \prime }+y&=x^{{3}/{2}} \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.102
1103	7615	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y&=0 \\ y \left (0\right ) &= 2 \\ y^{\prime }\left (0\right ) &= 3 \\ y^{\prime \prime }\left (0\right ) &= 5 \\ \end{align*}	✓	✓	✓	✓	0.102
1104	9301	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.102
1105	10748	\begin{align*} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.102
1106	10796	\begin{align*} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.102
1107	10894	\begin{align*} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.102
1108	11211	\begin{align*} x y^{\prime \prime }+2 y^{\prime }-y x&=0 \\ \end{align*}	✓	✓	✓	✓	0.102
1109	12727	\begin{align*} 18 \,{\mathrm e}^{x}-3 y-11 y^{\prime }-8 y^{\prime \prime }+4 y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.102
1110	18130	\begin{align*} y^{\prime \prime \prime }+6 y^{\prime \prime }+11 y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.102
1111	20069	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }-6 y^{\prime }+8 y&=x \\ \end{align*}	✓	✓	✓	✓	0.102
1112	20090	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y&={\mathrm e}^{3 x} \\ \end{align*}	✓	✓	✓	✓	0.102
1113	22125	\begin{align*} -y-2 y^{\prime }+2 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.102
1114	23305	\begin{align*} y^{\prime \prime \prime }-y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.102
1115	25538	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.102
1116	25914	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.102
1117	26523	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }&=3 \\ \end{align*}	✓	✓	✓	✓	0.102
1118	26543	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }&=1 \\ \end{align*}	✓	✓	✓	✓	0.102
1119	2133	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= -1 \\ y^{\prime \prime }\left (0\right ) &= -4 \\ \end{align*}	✓	✓	✓	✓	0.103
1120	4449	\begin{align*} y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.103
1121	6625	\begin{align*} -3 y+y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.103
1122	6675	\begin{align*} -x^{2} y+3 y^{\prime \prime }+x y^{\prime \prime \prime }&=0 \\ \end{align*}	✗	✓	✓	✗	0.103
1123	10798	\begin{align*} x y^{\prime \prime }+2 y^{\prime }+y x&=0 \\ \end{align*}	✓	✓	✓	✓	0.103
1124	10901	\begin{align*} x y^{\prime \prime }+\left (-2 x +2\right ) y^{\prime }+\left (x -2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.103
1125	11138	\begin{align*} x y^{\prime \prime }+2 y^{\prime }+y x&=0 \\ \end{align*}	✓	✓	✓	✓	0.103
1126	11225	\begin{align*} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.103
1127	23952	\begin{align*} y^{\prime \prime \prime }+4 y^{\prime }&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 1 \\ y^{\prime \prime }\left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	0.103
1128	6604	\begin{align*} y^{\prime \prime \prime }&=y \\ \end{align*}	✓	✓	✓	✓	0.104
1129	6672	\begin{align*} -y+x y^{\prime }-y^{\prime \prime }+x y^{\prime \prime \prime }&=0 \\ \end{align*}	✗	✓	✓	✗	0.104
1130	9302	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime \prime }-6 y^{\prime }+5 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.104
1131	10715	\begin{align*} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	0.104
1132	10850	\begin{align*} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	0.104
1133	11178	\begin{align*} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.104
1134	11276	\begin{align*} y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}+1\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.104
1135	14596	\begin{align*} y^{\prime \prime \prime \prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.104
1136	16998	\begin{align*} -4 y^{\prime }+y^{\prime \prime \prime }&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= -1 \\ y^{\prime \prime }\left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	0.104
1137	21880	\begin{align*} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+5 y^{\prime \prime }-4 y^{\prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.104
1138	23685	\begin{align*} x^{3} y^{\prime \prime }-\left (x +1\right ) y&=0 \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.104
1139	929	\begin{align*} 4 y^{\prime \prime }-4 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.105
1140	1324	\begin{align*} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✗	0.105
1141	2130	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y&=0 \\ y \left (0\right ) &= -2 \\ y^{\prime }\left (0\right ) &= 9 \\ y^{\prime \prime }\left (0\right ) &= 4 \\ \end{align*}	✓	✓	✓	✓	0.105
1142	3153	\begin{align*} y^{\prime \prime \prime }+4 y^{\prime \prime }-5 y^{\prime }&={\mathrm e}^{3 x} \\ \end{align*}	✓	✓	✓	✓	0.105
1143	6714	\begin{align*} -6 y+6 \left (x +1\right ) y^{\prime }-3 x \left (x +2\right ) y^{\prime \prime }+x^{2} \left (y+3\right ) y^{\prime \prime \prime }&=0 \\ \end{align*}	✗	✗	✗	✗	0.105
1144	9299	\begin{align*} y^{\prime \prime \prime \prime }-2 a^{2} y^{\prime \prime }+a^{4} y&=0 \\ \end{align*}	✓	✓	✓	✓	0.105
1145	10367	\begin{align*} {y^{\prime \prime }}^{2}&=1 \\ \end{align*}	✓	✓	✓	✓	0.105
1146	10816	\begin{align*} x y^{\prime \prime }+2 y^{\prime }+y x&=0 \\ \end{align*}	✓	✓	✓	✓	0.105
1147	10858	\begin{align*} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	0.105
1148	10873	\begin{align*} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	0.105
1149	10890	\begin{align*} x^{2} y^{\prime \prime }-2 x y^{\prime }+\left (x^{2}+2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	0.105
1150	10904	\begin{align*} x^{2} y^{\prime \prime }-2 x y^{\prime }+\left (x^{2}+2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	0.105
1151	10960	\begin{align*} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.105
1152	11073	\begin{align*} y^{\prime \prime }-4 t y^{\prime }+\left (4 t^{2}-2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.105
1153	21240	\begin{align*} x^{\prime } t +y^{\prime }&=1 \\ y^{\prime }+x+{\mathrm e}^{x^{\prime }}&=1 \\ \end{align*}	✗	✓	✓	✗	0.105
1154	22114	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+2 y^{\prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.105
1155	26833	\begin{align*} x^{\prime \prime }+4 x^{\prime }+4 x&=t^{2} {\mathrm e}^{-2 t} \\ x \left (0\right ) &= 0 \\ x^{\prime }\left (0\right ) &= 0 \\ \end{align*} Using Laplace transform method.	✓	✓	✓	✓	0.105
1156	27705	\begin{align*} x y^{\prime \prime }+2 y^{\prime }-y x&=0 \\ \end{align*}	✓	✓	✓	✓	0.105
1157	3180	\begin{align*} y^{\prime \prime \prime }-y&={\mathrm e}^{x} \\ \end{align*}	✓	✓	✓	✓	0.106
1158	3190	\begin{align*} y^{\prime \prime \prime }-y&=x^{2} \\ \end{align*}	✓	✓	✓	✓	0.106
1159	6796	\begin{align*} 3 y^{\prime } y^{\prime \prime }+\left (y+a \right ) y^{\prime \prime \prime }&=0 \\ \end{align*}	✗	✓	✓	✗	0.106
1160	8931	\begin{align*} y^{\prime \prime \prime }-i y^{\prime \prime }+y^{\prime }-i y&=0 \\ \end{align*}	✓	✓	✓	✓	0.106
1161	10653	\begin{align*} y^{\prime \prime }-4 t y^{\prime }+\left (4 t^{2}-2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.106
1162	10790	\begin{align*} x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (x^{2}+2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	0.106
1163	10848	\begin{align*} y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}+1\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.106
1164	15677	\begin{align*} y^{\left (5\right )}-y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+35 y^{\prime \prime }+16 y^{\prime }-52 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.106
1165	21188	\begin{align*} x^{\prime \prime \prime \prime }-x^{\prime \prime }&=0 \\ x \left (0\right ) &= 1 \\ x^{\prime \prime }\left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	0.106
1166	21506	\begin{align*} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.106
1167	22112	\begin{align*} y^{\prime \prime \prime \prime }-9 y^{\prime \prime }+20 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.106
1168	26822	\begin{align*} x^{\prime \prime }+3 x^{\prime }+2 x&=2 t^{2}+1 \\ x \left (0\right ) &= 4 \\ x^{\prime }\left (0\right ) &= -3 \\ \end{align*} Using Laplace transform method.	✓	✓	✓	✓	0.106
1169	307	\begin{align*} y^{\prime \prime \prime \prime }&=y^{\prime \prime \prime } \\ y \left (0\right ) &= 18 \\ y^{\prime }\left (0\right ) &= 12 \\ y^{\prime \prime }\left (0\right ) &= 13 \\ y^{\prime \prime \prime }\left (0\right ) &= 7 \\ \end{align*}	✓	✓	✓	✓	0.107
1170	2129	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 14 \\ y^{\prime \prime }\left (0\right ) &= -40 \\ \end{align*}	✓	✓	✓	✓	0.107
1171	6673	\begin{align*} y-x y^{\prime }-y^{\prime \prime }+x y^{\prime \prime \prime }&=0 \\ \end{align*}	✗	✓	✓	✗	0.107
1172	7328	\begin{align*} x y^{\prime \prime }-2 \left (x +1\right ) y^{\prime }+\left (x +2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.107
1173	7329	\begin{align*} 3 x y^{\prime \prime }-2 \left (3 x -1\right ) y^{\prime }+\left (3 x -2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.107
1174	7614	\begin{align*} y^{\prime \prime \prime }-y^{\prime }&=0 \\ y \left (0\right ) &= 2 \\ y^{\prime }\left (0\right ) &= 3 \\ y^{\prime \prime }\left (0\right ) &= -1 \\ \end{align*}	✓	✓	✓	✓	0.107
1175	10835	\begin{align*} x y^{\prime \prime }+2 y^{\prime }+y x&=0 \\ \end{align*}	✓	✓	✓	✓	0.107
1176	10845	\begin{align*} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	0.107
1177	10877	\begin{align*} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	0.107
1178	11227	\begin{align*} x y^{\prime \prime }+2 y^{\prime }+y x&=0 \\ \end{align*}	✓	✓	✓	✓	0.107
1179	11231	\begin{align*} x y^{\prime \prime }+\left (-2 x +2\right ) y^{\prime }+\left (x -2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.107
1180	11245	\begin{align*} x y^{\prime \prime }+2 y^{\prime }+y x&=0 \\ \end{align*}	✓	✓	✓	✓	0.107
1181	11300	\begin{align*} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.107
1182	12806	\begin{align*} x^{4} y^{\prime \prime \prime \prime }+4 x^{3} y^{\prime \prime \prime }-\left (4 n^{2}-1\right ) x^{2} y^{\prime \prime }+\left (4 n^{2}-1\right ) x y^{\prime }-4 x^{4} y&=0 \\ \end{align*}	✗	✓	✓	✗	0.107
1183	12827	\begin{align*} y^{\left (5\right )}+a y^{\prime \prime \prime \prime }-f&=0 \\ \end{align*}	✓	✓	✓	✓	0.107
1184	19445	\begin{align*} x y^{\prime \prime }+3 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.107
1185	22124	\begin{align*} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.107
1186	23311	\begin{align*} 3 y^{\left (5\right )}-2 y^{\prime \prime \prime \prime }+y^{\prime \prime }-2 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.107
1187	24484	\begin{align*} y^{\left (6\right )}+9 y^{\prime \prime \prime \prime }+24 y^{\prime \prime }+16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.107
1188	312	\begin{align*} y^{\prime \prime \prime }&=y \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 0 \\ y^{\prime \prime }\left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	0.108
1189	933	\begin{align*} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✗	0.108
1190	2132	\begin{align*} 3 y^{\prime \prime \prime }-y^{\prime \prime }-7 y^{\prime }+5 y&=0 \\ y \left (0\right ) &= {\frac {14}{5}} \\ y^{\prime }\left (0\right ) &= 0 \\ y^{\prime \prime }\left (0\right ) &= 10 \\ \end{align*}	✓	✓	✓	✓	0.108
1191	6671	\begin{align*} y x +3 y^{\prime }+x y^{\prime \prime \prime }&=0 \\ \end{align*}	✗	✓	✗	✗	0.108
1192	6710	\begin{align*} -12 y+3 \left (2 x^{2}+1\right ) y^{\prime \prime }+x \left (x^{2}+1\right ) y^{\prime \prime \prime }&=0 \\ \end{align*}	✗	✓	✓	✗	0.108
1193	6716	\begin{align*} 2 y+\left (1-2 x \right ) y^{\prime }+\left (1-2 x \right )^{3} y^{\prime \prime \prime }&=0 \\ \end{align*}	✗	✓	✓	✗	0.108
1194	10783	\begin{align*} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	0.108
1195	17562	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime \prime }&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 2 \\ y^{\prime \prime }\left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	0.108
1196	22301	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime \prime }-5 y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.108
1197	22329	\begin{align*} y^{\prime \prime \prime }&=0 \\ y \left (0\right ) &= 1 \\ y \left (1\right ) &= 2 \\ y \left (2\right ) &= 9 \\ \end{align*}	✓	✓	✓	✓	0.108
1198	22894	\begin{align*} x y^{\prime }+y x^{\prime }&=t^{2} \\ 2 x^{\prime \prime }-y^{\prime }&=5 t \\ \end{align*}	✗	✗	✗	✗	0.108
1199	24435	\begin{align*} -4 y^{\prime }+y^{\prime \prime \prime }&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 0 \\ y^{\prime \prime }\left (0\right ) &= 2 \\ \end{align*}	✓	✓	✓	✓	0.108
1200	26046	\begin{align*} 2 y-2 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✗	0.108