Problems 101 to 200

Table 5.1101: Second order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple

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

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

5.25.2 Problems 101 to 200