Problems 3801 to 3811

Table 5.491: Second ODE homogeneous ODE


#	ODE	Mathematica	Maple

19612	\[ {}x^{4} y^{\prime \prime } = \left (-x y^{\prime }+y\right )^{3} \]	✓	✓

19613	\[ {}x y^{\prime \prime }+2 y^{\prime } = x^{2} y^{\prime }-y^{2} \]	✗	✗

19614	\[ {}x y^{\prime \prime }-\left (2 x -1\right ) y^{\prime }+\left (x -1\right ) y = 0 \]	✓	✓

19615	\[ {}\sin \left (x \right )^{2} y^{\prime \prime } = 2 y \]	✓	✓

19619	\[ {}\left (x \sin \left (x \right )+\cos \left (x \right )\right ) y^{\prime \prime }-x \cos \left (x \right ) y^{\prime }+y \cos \left (x \right ) = 0 \]	✓	✓

19621	\[ {}x^{2} y^{\prime \prime }-2 \left (x^{2}+x \right ) y^{\prime }+\left (x^{2}+2 x +2\right ) y = 0 \]	✓	✓

19622	\[ {}x^{2} y^{\prime \prime }-2 x y^{\prime }+\left (x^{2}+2\right ) y = 0 \]	✓	✓

19623	\[ {}y^{\prime \prime }+\frac {y^{\prime }}{x^{{1}/{3}}}+\left (\frac {1}{4 x^{{2}/{3}}}-\frac {1}{6 x^{{4}/{3}}}-\frac {6}{x^{2}}\right ) y = 0 \]	✓	✓

19624	\[ {}y^{\prime \prime }-2 \tan \left (x \right ) y^{\prime }+y = 0 \]	✓	✓

19627	\[ {}y^{\prime \prime }+\cot \left (x \right ) y^{\prime }+\frac {\csc \left (x \right )^{2} y}{2} = 0 \]	✓	✓

19633	\[ {}3 x^{2} y^{\prime \prime }+\left (-6 x^{2}+6 x +2\right ) y^{\prime }-4 y = 0 \]	✓	✓