Problems 3001 to 3100

Table 4.475: Second ODE homogeneous ODE


#	ODE	Mathematica	Maple	Sympy

15206	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]	✓	✓	✓

15217	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

15218	\[ {} y^{\prime \prime }-4 y = 0 \]	✓	✓	✓

15219	\[ {} y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓	✓

15220	\[ {} y^{\prime \prime }-4 y^{\prime }+4 y = 0 \]	✓	✓	✓

15221	\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]	✓	✓	✓

15222	\[ {} 4 x^{2} y^{\prime \prime }+4 x y^{\prime }-y = 0 \]	✓	✓	✓

15223	\[ {} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0 \]	✓	✓	✓

15224	\[ {} x y^{\prime \prime }-y^{\prime }+4 x^{3} y = 0 \]	✓	✓	✓

15225	\[ {} \left (1+x \right )^{2} y^{\prime \prime }-2 \left (1+x \right ) y^{\prime }+2 y = 0 \]	✓	✓	✗

15226	\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]	✓	✓	✓

15227	\[ {} x y^{\prime \prime }-y^{\prime }+4 x^{3} y = 0 \]	✓	✓	✓

15230	\[ {} y^{\prime \prime }-4 y = 0 \]	✓	✓	✓

15231	\[ {} y^{\prime \prime }+2 y^{\prime }-3 y = 0 \]	✓	✓	✓

15232	\[ {} y^{\prime \prime }-10 y^{\prime }+9 y = 0 \]	✓	✓	✓

15233	\[ {} y^{\prime \prime }+5 y^{\prime } = 0 \]	✓	✓	✓

15236	\[ {} y^{\prime \prime }-7 y^{\prime }+10 y = 0 \]	✓	✓	✓

15237	\[ {} y^{\prime \prime }+2 y^{\prime }-24 y = 0 \]	✓	✓	✓

15238	\[ {} y^{\prime \prime }-25 y = 0 \]	✓	✓	✓

15239	\[ {} y^{\prime \prime }+3 y^{\prime } = 0 \]	✓	✓	✓

15240	\[ {} 4 y^{\prime \prime }-y = 0 \]	✓	✓	✓

15241	\[ {} 3 y^{\prime \prime }+7 y^{\prime }-6 y = 0 \]	✓	✓	✓

15242	\[ {} y^{\prime \prime }-8 y^{\prime }+15 y = 0 \]	✓	✓	✓

15243	\[ {} y^{\prime \prime }-8 y^{\prime }+15 y = 0 \]	✓	✓	✓

15244	\[ {} y^{\prime \prime }-8 y^{\prime }+15 y = 0 \]	✓	✓	✓

15245	\[ {} y^{\prime \prime }-9 y = 0 \]	✓	✓	✓

15246	\[ {} y^{\prime \prime }-9 y = 0 \]	✓	✓	✓

15247	\[ {} y^{\prime \prime }-9 y = 0 \]	✓	✓	✓

15248	\[ {} y^{\prime \prime }-10 y^{\prime }+25 y = 0 \]	✓	✓	✓

15249	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

15250	\[ {} 4 y^{\prime \prime }-4 y^{\prime }+y = 0 \]	✓	✓	✓

15251	\[ {} 25 y^{\prime \prime }-10 y^{\prime }+y = 0 \]	✓	✓	✓

15252	\[ {} 16 y^{\prime \prime }-24 y^{\prime }+9 y = 0 \]	✓	✓	✓

15253	\[ {} 9 y^{\prime \prime }+12 y^{\prime }+4 y = 0 \]	✓	✓	✓

15254	\[ {} y^{\prime \prime }-8 y^{\prime }+16 y = 0 \]	✓	✓	✓

15255	\[ {} y^{\prime \prime }-8 y^{\prime }+16 y = 0 \]	✓	✓	✓

15256	\[ {} y^{\prime \prime }-8 y^{\prime }+16 y = 0 \]	✓	✓	✓

15257	\[ {} 4 y^{\prime \prime }+4 y^{\prime }+y = 0 \]	✓	✓	✓

15258	\[ {} 4 y^{\prime \prime }+4 y^{\prime }+y = 0 \]	✓	✓	✓

15259	\[ {} 4 y^{\prime \prime }+4 y^{\prime }+y = 0 \]	✓	✓	✓

15260	\[ {} y^{\prime \prime }+25 y = 0 \]	✓	✓	✓

15261	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

15262	\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓	✓

15263	\[ {} y^{\prime \prime }-4 y^{\prime }+29 y = 0 \]	✓	✓	✓

15264	\[ {} 9 y^{\prime \prime }+18 y^{\prime }+10 y = 0 \]	✓	✓	✓

15265	\[ {} 4 y^{\prime \prime }+y = 0 \]	✓	✓	✓

15266	\[ {} y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

15267	\[ {} y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

15268	\[ {} y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

15269	\[ {} y^{\prime \prime }-4 y^{\prime }+13 y = 0 \]	✓	✓	✓

15270	\[ {} y^{\prime \prime }-4 y^{\prime }+13 y = 0 \]	✓	✓	✓

15271	\[ {} y^{\prime \prime }-4 y^{\prime }+13 y = 0 \]	✓	✓	✓

15272	\[ {} y^{\prime \prime }-y^{\prime }+\left (\frac {1}{4}+4 \pi ^{2}\right ) y = 0 \]	✓	✓	✓

15273	\[ {} y^{\prime \prime }-y^{\prime }+\left (\frac {1}{4}+4 \pi ^{2}\right ) y = 0 \]	✓	✓	✓

15300	\[ {} x^{2} y^{\prime \prime }-5 x y^{\prime }+8 y = 0 \]	✓	✓	✓

15301	\[ {} x^{2} y^{\prime \prime }-2 y = 0 \]	✓	✓	✓

15302	\[ {} x^{2} y^{\prime \prime }-2 x y^{\prime } = 0 \]	✓	✓	✓

15303	\[ {} 2 x^{2} y^{\prime \prime }-x y^{\prime }+y = 0 \]	✓	✓	✓

15304	\[ {} x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0 \]	✓	✓	✓

15305	\[ {} x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y = 0 \]	✓	✓	✓

15306	\[ {} 4 x^{2} y^{\prime \prime }+y = 0 \]	✓	✓	✓

15307	\[ {} x^{2} y^{\prime \prime }-19 x y^{\prime }+100 y = 0 \]	✓	✓	✓

15308	\[ {} x^{2} y^{\prime \prime }-5 x y^{\prime }+29 y = 0 \]	✓	✓	✓

15309	\[ {} x^{2} y^{\prime \prime }-x y^{\prime }+10 y = 0 \]	✓	✓	✓

15310	\[ {} x^{2} y^{\prime \prime }+5 x y^{\prime }+29 y = 0 \]	✓	✓	✓

15311	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+y = 0 \]	✓	✓	✓

15312	\[ {} 2 x^{2} y^{\prime \prime }+5 x y^{\prime }+y = 0 \]	✓	✓	✓

15313	\[ {} 4 x^{2} y^{\prime \prime }+37 y = 0 \]	✓	✓	✓

15314	\[ {} x^{2} y^{\prime \prime }+x y^{\prime } = 0 \]	✓	✓	✓

15315	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }-25 y = 0 \]	✓	✓	✓

15316	\[ {} 4 x^{2} y^{\prime \prime }+8 x y^{\prime }+5 y = 0 \]	✓	✓	✓

15317	\[ {} 3 x^{2} y^{\prime \prime }-7 x y^{\prime }+3 y = 0 \]	✓	✓	✓

15318	\[ {} x^{2} y^{\prime \prime }-2 x y^{\prime }-10 y = 0 \]	✓	✓	✓

15319	\[ {} 4 x^{2} y^{\prime \prime }+4 x y^{\prime }-y = 0 \]	✓	✓	✓

15320	\[ {} x^{2} y^{\prime \prime }-11 x y^{\prime }+36 y = 0 \]	✓	✓	✓

15321	\[ {} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0 \]	✓	✓	✓

15322	\[ {} x^{2} y^{\prime \prime }-x y^{\prime }+2 y = 0 \]	✓	✓	✓

15323	\[ {} x^{2} y^{\prime \prime }-3 x y^{\prime }+13 y = 0 \]	✓	✓	✓

15456	\[ {} y^{\prime \prime }+36 y = 0 \]	✓	✓	✓

15457	\[ {} y^{\prime \prime }-12 y^{\prime }+36 y = 0 \]	✓	✓	✓

15458	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }-9 y = 0 \]	✓	✓	✓

15459	\[ {} y^{\prime \prime }-36 y = 0 \]	✓	✓	✓

15460	\[ {} y^{\prime \prime }-9 y^{\prime }+14 y = 0 \]	✓	✓	✓

15461	\[ {} x^{2} y^{\prime \prime }-7 x y^{\prime }+16 y = 0 \]	✓	✓	✓

15464	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

15465	\[ {} y^{\prime \prime }+3 y = 0 \]	✓	✓	✓

15466	\[ {} x^{2} y^{\prime \prime }+7 x y^{\prime }+9 y = 0 \]	✓	✓	✓

15467	\[ {} x^{2} y^{\prime \prime }+\frac {5 y}{2} = 0 \]	✓	✓	✓

15469	\[ {} x^{2} y^{\prime \prime }-6 y = 0 \]	✓	✓	✓

15470	\[ {} y^{\prime \prime }-6 y^{\prime }+25 y = 0 \]	✓	✓	✓

15471	\[ {} y^{\prime \prime } = {y^{\prime }}^{2} \]	✓	✓	✓

15472	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+9 y = 0 \]	✓	✓	✓

15473	\[ {} y^{\prime \prime }-8 y^{\prime }+25 y = 0 \]	✓	✓	✓

15474	\[ {} x^{2} y^{\prime \prime }+2 x y^{\prime }-30 y = 0 \]	✓	✓	✓

15475	\[ {} y^{\prime \prime }+y^{\prime }-30 y = 0 \]	✓	✓	✓

15476	\[ {} 16 y^{\prime \prime }-8 y^{\prime }+y = 0 \]	✓	✓	✓

15477	\[ {} 4 x^{2} y^{\prime \prime }+8 x y^{\prime }+y = 0 \]	✓	✓	✓

15479	\[ {} 2 x^{2} y^{\prime \prime }-3 x y^{\prime }+2 y = 0 \]	✓	✓	✓

15480	\[ {} 9 x^{2} y^{\prime \prime }+3 x y^{\prime }+y = 0 \]	✓	✓	✓

15483	\[ {} y^{\prime \prime }+20 y^{\prime }+100 y = 0 \]	✓	✓	✓

4.4.31 Problems 3001 to 3100