Problems 101 to 200

Table 4.1465: Second order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple	Sympy

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

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

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

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

1355	\[ {} u^{\prime \prime }+2 u = 0 \]	✓	✓	✓

1356	\[ {} u^{\prime \prime }+\frac {u^{\prime }}{4}+2 u = 0 \]	✓	✓	✓

1483	\[ {} y^{\prime \prime }-y^{\prime }-6 y = 0 \]	✓	✓	✓

1484	\[ {} y^{\prime \prime }+3 y^{\prime }+2 y = 0 \]	✓	✓	✓

1485	\[ {} y^{\prime \prime }-2 y^{\prime }+2 y = 0 \]	✓	✓	✓

1486	\[ {} y^{\prime \prime }-2 y^{\prime }+4 y = 0 \]	✓	✓	✓

1487	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

1737	\[ {} y^{\prime \prime }-7 y^{\prime }+10 y = 0 \]	✓	✓	✓

1738	\[ {} y^{\prime \prime }-2 y^{\prime }+2 y = 0 \]	✓	✓	✓

1739	\[ {} y^{\prime \prime }-2 y^{\prime }+2 y = 0 \]	✓	✓	✓

1740	\[ {} y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

1741	\[ {} y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

1743	\[ {} y^{\prime \prime }-2 y^{\prime }-3 y = 0 \]	✓	✓	✓

1744	\[ {} y^{\prime \prime }-6 y^{\prime }+9 y = 0 \]	✓	✓	✓

1745	\[ {} y^{\prime \prime }-2 a y^{\prime }+a^{2} y = 0 \]	✓	✓	✓

2364	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

2365	\[ {} 6 y^{\prime \prime }-7 y^{\prime }+y = 0 \]	✓	✓	✓

2366	\[ {} y^{\prime \prime }-3 y^{\prime }+y = 0 \]	✓	✓	✓

2367	\[ {} 3 y^{\prime \prime }+6 y^{\prime }+3 y = 0 \]	✓	✓	✓

2368	\[ {} y^{\prime \prime }-3 y^{\prime }-4 y = 0 \]	✓	✓	✓

2369	\[ {} 2 y^{\prime \prime }+y^{\prime }-10 y = 0 \]	✓	✓	✓

2370	\[ {} 5 y^{\prime \prime }+5 y^{\prime }-y = 0 \]	✓	✓	✓

2371	\[ {} y^{\prime \prime }-6 y^{\prime }+y = 0 \]	✓	✓	✓

2372	\[ {} y^{\prime \prime }+5 y^{\prime }+6 y = 0 \]	✓	✓	✓

2376	\[ {} y^{\prime \prime }+2 y^{\prime }+4 y = 0 \]	✓	✓	✓

2377	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

2378	\[ {} 2 y^{\prime \prime }+3 y^{\prime }+4 y = 0 \]	✓	✓	✓

2379	\[ {} y^{\prime \prime }+2 y^{\prime }+3 y = 0 \]	✓	✓	✓

2380	\[ {} 4 y^{\prime \prime }-y^{\prime }+y = 0 \]	✓	✓	✓

2381	\[ {} y^{\prime \prime }+y^{\prime }+2 y = 0 \]	✓	✓	✓

2382	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

2383	\[ {} 2 y^{\prime \prime }-y^{\prime }+3 y = 0 \]	✓	✓	✓

2384	\[ {} 3 y^{\prime \prime }-2 y^{\prime }+4 y = 0 \]	✓	✓	✓

2387	\[ {} y^{\prime \prime }-6 y^{\prime }+9 y = 0 \]	✓	✓	✓

2388	\[ {} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0 \]	✓	✓	✓

2389	\[ {} 9 y^{\prime \prime }+6 y^{\prime }+y = 0 \]	✓	✓	✓

2390	\[ {} 4 y^{\prime \prime }-4 y^{\prime }+y = 0 \]	✓	✓	✓

2391	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

2392	\[ {} 9 y^{\prime \prime }-12 y^{\prime }+4 y = 0 \]	✓	✓	✓

2545	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

2546	\[ {} 6 y^{\prime \prime }-7 y^{\prime }+y = 0 \]	✓	✓	✓

2547	\[ {} y^{\prime \prime }-3 y^{\prime }+y = 0 \]	✓	✓	✓

2548	\[ {} 3 y^{\prime \prime }+6 y^{\prime }+2 y = 0 \]	✓	✓	✓

2549	\[ {} y^{\prime \prime }-3 y^{\prime }-4 y = 0 \]	✓	✓	✓

2550	\[ {} 2 y^{\prime \prime }+y^{\prime }-10 y = 0 \]	✓	✓	✓

2551	\[ {} 5 y^{\prime \prime }+5 y^{\prime }-y = 0 \]	✓	✓	✓

2552	\[ {} y^{\prime \prime }-6 y^{\prime }+y = 0 \]	✓	✓	✓

2553	\[ {} y^{\prime \prime }+5 y^{\prime }+6 y = 0 \]	✓	✓	✓

2556	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

2557	\[ {} 2 y^{\prime \prime }+3 y^{\prime }+4 y = 0 \]	✓	✓	✓

4.25.2 Problems 101 to 200