Problems 25301 to 25400

Table 6.507: Main lookup table sequentially arranged


#	ODE	Mathematica	Maple	Sympy

25301	\[ {} y^{\prime \prime }+\sqrt {y^{\prime }}+y = t \]	✗	✗	✗

25302	\[ {} y^{\prime \prime }+\sqrt {t}\, y^{\prime }+y = \sqrt {t} \]	✗	✗	✗

25303	\[ {} y^{\prime \prime }-2 y = t y \]	✓	✓	✓

25304	\[ {} y^{\prime \prime }+2 y+t \sin \left (y\right ) = 0 \]	✗	✗	✗

25305	\[ {} y^{\prime \prime }+2 y^{\prime }+\sin \left (t \right ) y = 0 \]	✓	✓	✗

25306	\[ {} t^{2} y^{\prime \prime }+t y^{\prime }+\left (t^{2}-5\right ) y = 0 \]	✓	✓	✓

25307	\[ {} t^{2} y^{\prime \prime }+t y^{\prime }-y = \sqrt {t} \]	✓	✓	✓

25308	\[ {} t^{2} y^{\prime \prime }+\left (t -1\right ) y^{\prime }-y = t^{2} {\mathrm e}^{-t} \]	✓	✓	✗

25309	\[ {} \left (t^{2}+1\right ) y^{\prime \prime }-4 t y^{\prime }+6 y = 2 t \]	✓	✓	✗

25310	\[ {} \left (t^{2}+1\right ) y^{\prime \prime }-4 t y^{\prime }+6 y = 0 \]	✓	✓	✗

25311	\[ {} \left (t^{2}+1\right ) y^{\prime \prime }-4 t y^{\prime }+6 y = 2 t \]	✓	✓	✗

25312	\[ {} \left (t^{2}+1\right ) y^{\prime \prime }-4 t y^{\prime }+6 y = 2 t \]	✓	✓	✗

25313	\[ {} \left (t^{2}+1\right ) y^{\prime \prime }-4 t y^{\prime }+6 y = 2 t \]	✓	✓	✗

25314	\[ {} \left (t^{2}+1\right ) y^{\prime \prime }-4 t y^{\prime }+6 y = 2 t \]	✓	✓	✗

25315	\[ {} \left (t -1\right ) y^{\prime \prime }-t y^{\prime }+y = 2 t \,{\mathrm e}^{-t} \]	✓	✓	✗

25316	\[ {} \left (t -1\right ) y^{\prime \prime }-t y^{\prime }+y = 0 \]	✓	✓	✗

25317	\[ {} \left (t -1\right ) y^{\prime \prime }-t y^{\prime }+y = 2 t \,{\mathrm e}^{-t} \]	✓	✓	✗

25318	\[ {} \left (t -1\right ) y^{\prime \prime }-t y^{\prime }+y = 2 t \,{\mathrm e}^{-t} \]	✓	✓	✗

25319	\[ {} \left (t -1\right ) y^{\prime \prime }-t y^{\prime }+y = 2 t \,{\mathrm e}^{-t} \]	✓	✓	✗

25320	\[ {} \left (t -1\right ) y^{\prime \prime }-t y^{\prime }+y = 2 t \,{\mathrm e}^{-t} \]	✓	✓	✗

25321	\[ {} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = t^{5} \]	✓	✓	✓

25322	\[ {} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = 0 \]	✓	✓	✓

25323	\[ {} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = t^{5} \]	✓	✓	✓

25324	\[ {} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = t^{5} \]	✓	✓	✓

25325	\[ {} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = t^{5} \]	✓	✓	✓

25326	\[ {} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = t^{5} \]	✓	✓	✓

25327	\[ {} t^{2} y^{\prime \prime }+3 t y^{\prime }-4 y = t^{4} \]	✓	✓	✓

25328	\[ {} y^{\prime \prime }-2 y^{\prime }-2 y = \frac {t^{2}+1}{-t^{2}+1} \]	✓	✓	✗

25329	\[ {} \sin \left (t \right ) y^{\prime \prime }+y = \cos \left (t \right ) \]	✗	✗	✗

25330	\[ {} \left (t^{2}+1\right ) y^{\prime \prime }-t y^{\prime }+t^{2} y = \cos \left (t \right ) \]	✗	✓	✗

25331	\[ {} y^{\prime \prime }+\sqrt {t}\, y^{\prime }-\sqrt {t -3}\, y = 0 \]	✗	✗	✗

25332	\[ {} t \left (t^{2}-4\right ) y^{\prime \prime }+y = {\mathrm e}^{t} \]	✗	✗	✗

25333	\[ {} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = 0 \]	✓	✓	✗

25334	\[ {} y^{\prime \prime }+a_{1} \left (t \right ) y^{\prime }+a_{0} \left (t \right ) y = f \left (t \right ) \]	✗	✗	✗

25335	\[ {} \left (t -1\right ) y^{\prime \prime }-t y^{\prime }+y = 0 \]	✓	✓	✗

25336	\[ {} \left (t^{2}+1\right ) y^{\prime \prime }-2 t y^{\prime }+2 y = 0 \]	✓	✓	✗

25337	\[ {} t^{2} y^{\prime \prime }+t y^{\prime }+4 y = 0 \]	✓	✓	✓

25338	\[ {} t^{2} y^{\prime \prime }-2 t y^{\prime } = 0 \]	✓	✓	✓

25339	\[ {} t^{2} y^{\prime \prime }+2 t y^{\prime }-2 y = 0 \]	✓	✓	✓

25340	\[ {} 2 t^{2} y^{\prime \prime }-5 t y^{\prime }+3 y = 0 \]	✓	✓	✓

25341	\[ {} 9 t^{2} y^{\prime \prime }+3 t y^{\prime }+y = 0 \]	✓	✓	✓

25342	\[ {} t^{2} y^{\prime \prime }+t y^{\prime }-2 y = 0 \]	✓	✓	✓

25343	\[ {} 4 t^{2} y^{\prime \prime }+y = 0 \]	✓	✓	✓

25344	\[ {} t^{2} y^{\prime \prime }-3 t y^{\prime }-21 y = 0 \]	✓	✓	✓

25345	\[ {} t^{2} y^{\prime \prime }+7 t y^{\prime }+9 y = 0 \]	✓	✓	✓

25346	\[ {} t^{2} y^{\prime \prime }+y = 0 \]	✓	✓	✓

25347	\[ {} t^{2} y^{\prime \prime }+t y^{\prime }-4 y = 0 \]	✓	✓	✓

25348	\[ {} t^{2} y^{\prime \prime }+t y^{\prime }+4 y = 0 \]	✓	✓	✓

25349	\[ {} t^{2} y^{\prime \prime }-3 t y^{\prime }+13 y = 0 \]	✓	✓	✓

25350	\[ {} t^{2} y^{\prime \prime }+2 t y^{\prime }-2 y = 0 \]	✓	✓	✓

25351	\[ {} 4 t^{2} y^{\prime \prime }+y = 0 \]	✓	✓	✓

25352	\[ {} t^{2} y^{\prime \prime }+t y^{\prime }+4 y = 0 \]	✓	✓	✓

25353	\[ {} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = 0 \]	✗	✗	✗

25354	\[ {} t y^{\prime \prime }+\left (t -1\right ) y^{\prime }-y = 0 \]	✓	✓	✗

25355	\[ {} t y^{\prime \prime }+\left (t +1\right ) y^{\prime }+y = 0 \]	✓	✓	✗

25356	\[ {} t y^{\prime \prime }+\left (2+4 t \right ) y^{\prime }+\left (4+4 t \right ) y = 0 \]	✓	✓	✗

25357	\[ {} t y^{\prime \prime }-2 y^{\prime }+t y = 0 \]	✓	✓	✓

25358	\[ {} t y^{\prime \prime }-4 y^{\prime }+t y = 0 \]	✓	✓	✗

25359	\[ {} t y^{\prime \prime }+\left (2+2 t \right ) y^{\prime }+\left (t +2\right ) y = 0 \]	✓	✓	✗

25360	\[ {} -t y^{\prime \prime }+\left (t -2\right ) y^{\prime }+y = 0 \]	✓	✓	✗

25361	\[ {} -t y^{\prime \prime }-2 y^{\prime }+t y = 0 \]	✓	✓	✓

25362	\[ {} t y^{\prime \prime }+\left (2-5 t \right ) y^{\prime }+\left (6 t -5\right ) y = 0 \]	✓	✓	✗

25363	\[ {} t y^{\prime \prime }+2 y^{\prime }+9 t y = 0 \]	✓	✓	✓

25364	\[ {} t y^{\prime \prime \prime }+3 y^{\prime \prime }+t y^{\prime }+y = 0 \]	✓	✓	✗

25365	\[ {} t y^{\prime \prime }+\left (t +2\right ) y^{\prime }+y = 0 \]	✓	✓	✗

25366	\[ {} t^{2} y^{\prime \prime }-3 t y^{\prime }+4 y = 0 \]	✓	✓	✓

25367	\[ {} t^{2} y^{\prime \prime }+2 t y^{\prime }-2 y = 0 \]	✓	✓	✓

25368	\[ {} 4 t^{2} y^{\prime \prime }+y = 0 \]	✓	✓	✓

25369	\[ {} t^{2} y^{\prime \prime }+2 t y^{\prime } = 0 \]	✓	✓	✓

25370	\[ {} t^{2} y^{\prime \prime }-t \left (t +2\right ) y^{\prime }+\left (t +2\right ) y = 0 \]	✓	✓	✗

25371	\[ {} t^{2} y^{\prime \prime }-4 t y^{\prime }+\left (t^{2}+6\right ) y = 0 \]	✓	✓	✓

25372	\[ {} t y^{\prime \prime }-y^{\prime }+4 t^{3} y = 0 \]	✓	✓	✓

25373	\[ {} t y^{\prime \prime }-2 \left (t +1\right ) y^{\prime }+4 y = 0 \]	✓	✓	✗

25374	\[ {} y^{\prime \prime }-2 \sec \left (t \right )^{2} y = 0 \]	✓	✓	✗

25375	\[ {} t y^{\prime \prime }+\left (t -1\right ) y^{\prime }-y = 0 \]	✓	✓	✗

25376	\[ {} y^{\prime \prime }-\tan \left (t \right ) y^{\prime }-\sec \left (t \right )^{2} y = 0 \]	✓	✓	✗

25377	\[ {} \left (t^{2}+1\right ) y^{\prime \prime }-2 t y^{\prime }+2 y = 0 \]	✓	✓	✗

25378	\[ {} \left (1+\cos \left (2 t \right )\right ) y^{\prime \prime }-4 y = 0 \]	✓	✓	✗

25379	\[ {} t^{2} y^{\prime \prime }-2 t y^{\prime }+\left (t^{2}+2\right ) y = 0 \]	✓	✓	✓

25380	\[ {} \left (-t^{2}+1\right ) y^{\prime \prime }+2 y = 0 \]	✓	✓	✓

25381	\[ {} \left (-t^{2}+1\right ) y^{\prime \prime }-2 t y^{\prime }+2 y = 0 \]	✓	✓	✗

25382	\[ {} y^{\prime \prime }+y = \sin \left (t \right ) \]	✓	✓	✓

25383	\[ {} y^{\prime \prime }-4 y = {\mathrm e}^{2 t} \]	✓	✓	✓

25384	\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = {\mathrm e}^{t} \]	✓	✓	✓

25385	\[ {} y^{\prime \prime }+3 y^{\prime } = {\mathrm e}^{-3 t} \]	✓	✓	✓

25386	\[ {} y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{3 t} \]	✓	✓	✓

25387	\[ {} y^{\prime \prime }+y = \tan \left (t \right ) \]	✓	✓	✓

25388	\[ {} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{t}}{t} \]	✓	✓	✓

25389	\[ {} y^{\prime \prime }+y = \sec \left (t \right ) \]	✓	✓	✓

25390	\[ {} t^{2} y^{\prime \prime }-2 t y^{\prime }+2 y = t^{4} \]	✓	✓	✓

25391	\[ {} t y^{\prime \prime }-y^{\prime } = 3 t^{2}-1 \]	✓	✓	✓

25392	\[ {} t^{2} y^{\prime \prime }-t y^{\prime }+y = t \]	✓	✓	✓

25393	\[ {} y^{\prime \prime }-4 y^{\prime }+4 y = \frac {{\mathrm e}^{2 t}}{t^{2}+1} \]	✓	✓	✗

25394	\[ {} y^{\prime \prime }-\tan \left (t \right ) y^{\prime }-\sec \left (t \right )^{2} y = t \]	✓	✓	✗

25395	\[ {} t y^{\prime \prime }+\left (t -1\right ) y^{\prime }-y = t^{2} {\mathrm e}^{-t} \]	✓	✓	✗

25396	\[ {} t y^{\prime \prime }-y^{\prime }+4 t^{3} y = 4 t^{5} \]	✓	✓	✗

25397	\[ {} y^{\prime \prime }-y = \frac {1}{1+{\mathrm e}^{-t}} \]	✓	✓	✓

25398	\[ {} y^{\prime \prime }+a^{2} y = f \left (t \right ) \]	✓	✓	✓

25399	\[ {} y^{\prime \prime }-a^{2} y = f \left (t \right ) \]	✓	✓	✓

25400	\[ {} y^{\prime \prime }-2 a y^{\prime }+a^{2} y = f \left (t \right ) \]	✓	✓	✓

6.254 Problems 25301 to 25400