Problems 301 to 400

Table 4.371: Second order ode


#	ODE	Mathematica	Maple	Sympy

910	\[ {} x^{\prime \prime }+100 x = 225 \cos \left (5 t \right )+300 \sin \left (5 t \right ) \]	✓	✓	✓

911	\[ {} x^{\prime \prime }+25 x = 90 \cos \left (4 t \right ) \]	✓	✓	✓

912	\[ {} m x^{\prime \prime }+k x = F_{0} \cos \left (\omega t \right ) \]	✓	✓	✓

913	\[ {} x^{\prime \prime }+4 x^{\prime }+4 x = 10 \cos \left (3 t \right ) \]	✓	✓	✓

914	\[ {} x^{\prime \prime }+3 x^{\prime }+5 x = -4 \cos \left (5 t \right ) \]	✓	✓	✓

915	\[ {} 2 x^{\prime \prime }+2 x^{\prime }+x = 3 \sin \left (10 t \right ) \]	✓	✓	✓

916	\[ {} x^{\prime \prime }+3 x^{\prime }+3 x = 8 \cos \left (10 t \right )+6 \sin \left (10 t \right ) \]	✓	✓	✓

917	\[ {} x^{\prime \prime }+4 x^{\prime }+5 x = 10 \cos \left (3 t \right ) \]	✓	✓	✓

918	\[ {} x^{\prime \prime }+6 x^{\prime }+13 x = 10 \sin \left (5 t \right ) \]	✓	✓	✓

919	\[ {} x^{\prime \prime }+6 x^{\prime }+13 x = 10 \sin \left (5 t \right ) \]	✓	✓	✓

920	\[ {} x^{\prime \prime }+2 x^{\prime }+26 x = 600 \cos \left (10 t \right ) \]	✓	✓	✓

921	\[ {} x^{\prime \prime }+8 x^{\prime }+25 x = 200 \cos \left (t \right )+520 \sin \left (t \right ) \]	✓	✓	✓

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

929	\[ {} 4 y^{\prime \prime }-4 y^{\prime }+y = 0 \]	✓	✓	✓

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

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

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

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

934	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]	✓	✓	✓

1249	\[ {} y^{\prime \prime }+2 y^{\prime }-3 y = 0 \]	✓	✓	✓

1250	\[ {} y^{\prime \prime }+3 y^{\prime }+2 y = 0 \]	✓	✓	✓

1251	\[ {} 6 y^{\prime \prime }-y^{\prime }-y = 0 \]	✓	✓	✓

1252	\[ {} 2 y^{\prime \prime }-3 y^{\prime }+y = 0 \]	✓	✓	✓

1253	\[ {} y^{\prime \prime }+5 y^{\prime } = 0 \]	✓	✓	✓

1254	\[ {} 4 y^{\prime \prime }-9 y = 0 \]	✓	✓	✓

1255	\[ {} y^{\prime \prime }-9 y^{\prime }+9 y = 0 \]	✓	✓	✓

1256	\[ {} y^{\prime \prime }-2 y^{\prime }-2 y = 0 \]	✓	✓	✓

1257	\[ {} y^{\prime \prime }+y^{\prime }-2 y = 0 \]	✓	✓	✓

1258	\[ {} y^{\prime \prime }+4 y^{\prime }+3 y = 0 \]	✓	✓	✓

1259	\[ {} 6 y^{\prime \prime }-5 y^{\prime }+y = 0 \]	✓	✓	✓

1260	\[ {} y^{\prime \prime }+3 y^{\prime } = 0 \]	✓	✓	✓

1261	\[ {} y^{\prime \prime }+5 y^{\prime }+3 y = 0 \]	✓	✓	✓

1262	\[ {} 2 y^{\prime \prime }+y^{\prime }-4 y = 0 \]	✓	✓	✓

1263	\[ {} y^{\prime \prime }+8 y^{\prime }-9 y = 0 \]	✓	✓	✓

1264	\[ {} 4 y^{\prime \prime }-y = 0 \]	✓	✓	✓

1265	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

1266	\[ {} 2 y^{\prime \prime }-3 y^{\prime }+y = 0 \]	✓	✓	✓

1267	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

1268	\[ {} 4 y^{\prime \prime }-y = 0 \]	✓	✓	✗

1269	\[ {} y^{\prime \prime }-\left (2 \alpha -1\right ) y^{\prime }+\alpha \left (\alpha -1\right ) y = 0 \]	✓	✓	✓

1270	\[ {} y^{\prime \prime }+\left (3-\alpha \right ) y^{\prime }-2 \left (\alpha -1\right ) y = 0 \]	✓	✓	✓

1271	\[ {} 2 y^{\prime \prime }+3 y^{\prime }-2 y = 0 \]	✓	✓	✗

1272	\[ {} y^{\prime \prime }+5 y^{\prime }+6 y = 0 \]	✓	✓	✗

1273	\[ {} y^{\prime \prime }-2 y^{\prime }+2 y = 0 \]	✓	✓	✓

1274	\[ {} y^{\prime \prime }-2 y^{\prime }+6 y = 0 \]	✓	✓	✓

1275	\[ {} y^{\prime \prime }+2 y^{\prime }-8 y = 0 \]	✓	✓	✓

1276	\[ {} y^{\prime \prime }+2 y^{\prime }+2 y = 0 \]	✓	✓	✓

1277	\[ {} y^{\prime \prime }+6 y^{\prime }+13 y = 0 \]	✓	✓	✓

1278	\[ {} 4 y^{\prime \prime }+9 y = 0 \]	✓	✓	✓

1279	\[ {} y^{\prime \prime }+2 y^{\prime }+\frac {5 y}{4} = 0 \]	✓	✓	✓

1280	\[ {} 9 y^{\prime \prime }+9 y^{\prime }-4 y = 0 \]	✓	✓	✓

1281	\[ {} y^{\prime \prime }+y^{\prime }+\frac {5 y}{4} = 0 \]	✓	✓	✓

1282	\[ {} y^{\prime \prime }+4 y^{\prime }+\frac {25 y}{4} = 0 \]	✓	✓	✓

1283	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

1284	\[ {} y^{\prime \prime }+4 y^{\prime }+5 y = 0 \]	✓	✓	✓

1285	\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓	✓

1286	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

1287	\[ {} y^{\prime \prime }+y^{\prime }+\frac {5 y}{4} = 0 \]	✓	✓	✓

1288	\[ {} y^{\prime \prime }+2 y^{\prime }+2 y = 0 \]	✓	✓	✓

1289	\[ {} u^{\prime \prime }-u^{\prime }+2 u = 0 \]	✓	✓	✓

1290	\[ {} 5 u^{\prime \prime }+2 u^{\prime }+7 u = 0 \]	✓	✓	✓

1291	\[ {} y^{\prime \prime }+2 y^{\prime }+6 y = 0 \]	✓	✓	✓

1292	\[ {} y^{\prime \prime }+2 a y^{\prime }+\left (a^{2}+1\right ) y = 0 \]	✓	✓	✓

1293	\[ {} t^{2} y^{\prime \prime }+t y^{\prime }+y = 0 \]	✓	✓	✓

1294	\[ {} t^{2} y^{\prime \prime }+4 t y^{\prime }+2 y = 0 \]	✓	✓	✓

1295	\[ {} t^{2} y^{\prime \prime }+3 t y^{\prime }+\frac {5 y}{4} = 0 \]	✓	✓	✓

1296	\[ {} t^{2} y^{\prime \prime }-4 t y^{\prime }-6 y = 0 \]	✓	✓	✓

1297	\[ {} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = 0 \]	✓	✓	✓

1298	\[ {} t^{2} y^{\prime \prime }-t y^{\prime }+5 y = 0 \]	✓	✓	✓

1299	\[ {} t^{2} y^{\prime \prime }+3 t y^{\prime }-3 y = 0 \]	✓	✓	✓

1300	\[ {} t^{2} y^{\prime \prime }+7 t y^{\prime }+10 y = 0 \]	✓	✓	✓

1301	\[ {} y^{\prime \prime }+t y^{\prime }+y \,{\mathrm e}^{-t^{2}} = 0 \]	✓	✓	✗

1302	\[ {} t y^{\prime \prime }+\left (t^{2}-1\right ) y^{\prime }+t^{3} y = 0 \]	✓	✓	✗

1303	\[ {} y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

1304	\[ {} 9 y^{\prime \prime }+6 y^{\prime }+y = 0 \]	✓	✓	✓

1305	\[ {} 4 y^{\prime \prime }-4 y^{\prime }-3 y = 0 \]	✓	✓	✓

1306	\[ {} 4 y^{\prime \prime }+12 y^{\prime }+9 y = 0 \]	✓	✓	✓

1307	\[ {} y^{\prime \prime }-2 y^{\prime }+10 y = 0 \]	✓	✓	✓

1308	\[ {} y^{\prime \prime }-6 y^{\prime }+9 y = 0 \]	✓	✓	✓

1309	\[ {} 4 y^{\prime \prime }+17 y^{\prime }+4 y = 0 \]	✓	✓	✓

1310	\[ {} 16 y^{\prime \prime }+24 y^{\prime }+9 y = 0 \]	✓	✓	✓

1311	\[ {} 25 y^{\prime \prime }-20 y^{\prime }+4 y = 0 \]	✓	✓	✓

1312	\[ {} 2 y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

1313	\[ {} 9 y^{\prime \prime }-12 y^{\prime }+4 y = 0 \]	✓	✓	✓

1314	\[ {} y^{\prime \prime }-6 y^{\prime }+9 y = 0 \]	✓	✓	✓

1315	\[ {} 9 y^{\prime \prime }+6 y^{\prime }+82 y = 0 \]	✓	✓	✓

1316	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓	✓

1317	\[ {} 4 y^{\prime \prime }+12 y^{\prime }+9 y = 0 \]	✓	✓	✓

1318	\[ {} y^{\prime \prime }-y^{\prime }+\frac {y}{4} = 0 \]	✓	✓	✓

1319	\[ {} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = 0 \]	✓	✓	✓

1320	\[ {} t^{2} y^{\prime \prime }+2 t y^{\prime }-2 y = 0 \]	✓	✓	✓

1321	\[ {} t^{2} y^{\prime \prime }+3 t y^{\prime }+y = 0 \]	✓	✓	✓

1322	\[ {} t^{2} y^{\prime \prime }-t \left (t +2\right ) y^{\prime }+\left (t +2\right ) y = 0 \]	✓	✓	✗

1323	\[ {} x y^{\prime \prime }-y^{\prime }+4 x^{3} y = 0 \]	✓	✓	✓

1324	\[ {} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0 \]	✓	✓	✗

1325	\[ {} x^{2} y^{\prime \prime }-\left (x -\frac {3}{16}\right ) y = 0 \]	✓	✓	✓

1326	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]	✓	✓	✓

1327	\[ {} t^{2} y^{\prime \prime }-3 t y^{\prime }+4 y = 0 \]	✓	✓	✓

1328	\[ {} t^{2} y^{\prime \prime }+2 t y^{\prime }+\frac {y}{4} = 0 \]	✓	✓	✓

1329	\[ {} 2 t^{2} y^{\prime \prime }-5 t y^{\prime }+5 y = 0 \]	✓	✓	✓

4.3.4 Problems 301 to 400