Problems 801 to 807

Table 4.1627: Second order, Linear, non-homogeneous and non-constant coeﬃcients


#	ODE	Mathematica	Maple	Sympy

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

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

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