Problems 2901 to 3000

Table 4.473: Second ODE homogeneous ODE


#	ODE	Mathematica	Maple	Sympy

14165	\[ {} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0 \]	✓	✓	✓

14166	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

14188	\[ {} y^{\prime \prime }+2 h y^{\prime }+n^{2} y = 0 \]	✓	✓	✓

14225	\[ {} x^{\prime \prime }+x-x^{3} = 0 \]	✓	✓	✗

14226	\[ {} x^{\prime \prime }+x+x^{3} = 0 \]	✓	✓	✗

14227	\[ {} x^{\prime \prime }+x^{\prime }+x-x^{3} = 0 \]	✗	✗	✗

14228	\[ {} x^{\prime \prime }+x^{\prime }+x+x^{3} = 0 \]	✗	✗	✗

14229	\[ {} x^{\prime \prime } = \left (2 \cos \left (x\right )-1\right ) \sin \left (x\right ) \]	✓	✓	✗

14231	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }-y = 0 \]	✓	✓	✓

14233	\[ {} 2 x^{2} y^{\prime \prime }+3 x y^{\prime }-y = 0 \]	✓	✓	✓

14234	\[ {} y^{\prime \prime }-3 y^{\prime }+2 y = 0 \]	✓	✓	✓

14235	\[ {} x^{2} y^{\prime \prime }-2 y = 0 \]	✓	✓	✓

14241	\[ {} 2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0 \]	✓	✓	✓

14244	\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = 0 \]	✓	✓	✓

14245	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

14248	\[ {} x^{2} y^{\prime \prime }-x y^{\prime } = 0 \]	✓	✓	✓

14249	\[ {} x^{2} y^{\prime \prime }+6 x y^{\prime }+4 y = 0 \]	✓	✓	✓

14250	\[ {} x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0 \]	✓	✓	✓

14256	\[ {} y^{\prime \prime }-y^{\prime }-6 y = 0 \]	✓	✓	✓

14258	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

14261	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

14262	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

14263	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

14264	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

14266	\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]	✓	✓	✓

14267	\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]	✓	✓	✓

14268	\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]	✓	✓	✓

14269	\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]	✓	✓	✓

14270	\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]	✓	✓	✓

14271	\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]	✗	✗	✓

14407	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

14408	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

14409	\[ {} x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = 0 \]	✓	✓	✓

14410	\[ {} 2 y y^{\prime \prime }-{y^{\prime }}^{2} = 0 \]	✓	✓	✗

14411	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

14413	\[ {} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0 \]	✓	✓	✓

14417	\[ {} 4 y^{\prime \prime }+4 y^{\prime }-3 y = 0 \]	✓	✓	✓

14427	\[ {} y^{\prime \prime }+\alpha y = 0 \]	✓	✓	✓

14443	\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓	✓

14460	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

14783	\[ {} y^{\prime \prime }-6 y^{\prime }-7 y = 0 \]	✓	✓	✓

14784	\[ {} y^{\prime \prime }-y^{\prime }-12 y = 0 \]	✓	✓	✓

14814	\[ {} y^{\prime \prime }+5 y^{\prime }+6 y = 0 \]	✓	✓	✓

14815	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

14816	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

14817	\[ {} y^{\prime \prime }+2 y = 0 \]	✓	✓	✓

14896	\[ {} y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

14898	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

14909	\[ {} x^{2} y^{\prime \prime }+3 x y^{\prime } = 0 \]	✓	✓	✓

15131	\[ {} x y^{\prime \prime } = 2 y^{\prime } \]	✓	✓	✓

15132	\[ {} y^{\prime \prime } = y^{\prime } \]	✓	✓	✓

15134	\[ {} x y^{\prime \prime } = y^{\prime }-2 x^{2} y^{\prime } \]	✓	✓	✓

15135	\[ {} \left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime } = 0 \]	✓	✓	✓

15136	\[ {} y^{\prime \prime } = 4 x \sqrt {y^{\prime }} \]	✓	✓	✓

15138	\[ {} y y^{\prime \prime } = -{y^{\prime }}^{2} \]	✓	✓	✗

15139	\[ {} x y^{\prime \prime } = {y^{\prime }}^{2}-y^{\prime } \]	✓	✓	✓

15141	\[ {} y y^{\prime \prime }-{y^{\prime }}^{2} = y^{\prime } \]	✓	✓	✗

15143	\[ {} \left (-3+y\right ) y^{\prime \prime } = 2 {y^{\prime }}^{2} \]	✓	✓	✗

15149	\[ {} y y^{\prime \prime } = {y^{\prime }}^{2} \]	✓	✓	✗

15150	\[ {} 3 y y^{\prime \prime } = 2 {y^{\prime }}^{2} \]	✓	✓	✗

15151	\[ {} \sin \left (y\right ) y^{\prime \prime }+\cos \left (y\right ) {y^{\prime }}^{2} = 0 \]	✓	✓	✗

15152	\[ {} y^{\prime \prime } = y^{\prime } \]	✓	✓	✓

15153	\[ {} y y^{\prime \prime }+{y^{\prime }}^{2} = 2 y y^{\prime } \]	✓	✓	✗

15154	\[ {} y^{2} y^{\prime \prime }+y^{\prime \prime }+2 y {y^{\prime }}^{2} = 0 \]	✓	✓	✗

15155	\[ {} y^{\prime \prime } = 4 x \sqrt {y^{\prime }} \]	✓	✓	✓

15157	\[ {} x y^{\prime \prime } = {y^{\prime }}^{2}-y^{\prime } \]	✓	✓	✓

15159	\[ {} y y^{\prime \prime }-{y^{\prime }}^{2} = y^{\prime } \]	✓	✓	✗

15160	\[ {} y y^{\prime \prime } = 2 {y^{\prime }}^{2} \]	✓	✓	✗

15161	\[ {} \left (-3+y\right ) y^{\prime \prime } = {y^{\prime }}^{2} \]	✓	✓	✗

15163	\[ {} y^{\prime \prime } = y^{\prime } \left (y^{\prime }-2\right ) \]	✓	✓	✓

15165	\[ {} x y^{\prime \prime } = 2 y^{\prime } \]	✓	✓	✓

15166	\[ {} y^{\prime \prime } = y^{\prime } \]	✓	✓	✓

15172	\[ {} 3 y y^{\prime \prime } = 2 {y^{\prime }}^{2} \]	✓	✓	✗

15173	\[ {} y y^{\prime \prime }+2 {y^{\prime }}^{2} = 3 y y^{\prime } \]	✓	✓	✗

15174	\[ {} y^{\prime \prime } = -y^{\prime } {\mathrm e}^{-y} \]	✓	✓	✗

15175	\[ {} y^{\prime \prime } = -2 x {y^{\prime }}^{2} \]	✓	✓	✓

15176	\[ {} y^{\prime \prime } = -2 x {y^{\prime }}^{2} \]	✓	✓	✗

15177	\[ {} y^{\prime \prime } = -2 x {y^{\prime }}^{2} \]	✓	✓	✗

15178	\[ {} y^{\prime \prime } = -2 x {y^{\prime }}^{2} \]	✓	✓	✓

15179	\[ {} y^{\prime \prime } = 2 y y^{\prime } \]	✓	✓	✗

15180	\[ {} y^{\prime \prime } = 2 y y^{\prime } \]	✗	✓	✗

15181	\[ {} y^{\prime \prime } = 2 y y^{\prime } \]	✗	✓	✗

15182	\[ {} y^{\prime \prime } = 2 y y^{\prime } \]	✓	✓	✗

15184	\[ {} y^{\prime \prime }+x^{2} y^{\prime }-4 y = 0 \]	✓	✓	✗

15185	\[ {} y^{\prime \prime }+x^{2} y^{\prime } = 4 y \]	✓	✓	✗

15186	\[ {} y^{\prime \prime }+x^{2} y^{\prime }+4 y = y^{3} \]	✗	✗	✗

15189	\[ {} \left (y+1\right ) y^{\prime \prime } = {y^{\prime }}^{3} \]	✓	✓	✗

15193	\[ {} y^{\prime \prime }-5 y^{\prime }+6 y = 0 \]	✓	✓	✓

15194	\[ {} y^{\prime \prime }-10 y^{\prime }+25 y = 0 \]	✓	✓	✓

15195	\[ {} x^{2} y^{\prime \prime }-6 x y^{\prime }+12 y = 0 \]	✓	✓	✓

15196	\[ {} 2 x^{2} y^{\prime \prime }-x y^{\prime }+y = 0 \]	✓	✓	✓

15197	\[ {} 4 x^{2} y^{\prime \prime }+y = 0 \]	✓	✓	✓

15198	\[ {} y^{\prime \prime }-\left (4+\frac {2}{x}\right ) y^{\prime }+\left (4+\frac {4}{x}\right ) y = 0 \]	✓	✓	✗

15199	\[ {} \left (1+x \right ) y^{\prime \prime }+x y^{\prime }-y = 0 \]	✓	✓	✗

15200	\[ {} y^{\prime \prime }-\frac {y^{\prime }}{x}-4 x^{2} y = 0 \]	✓	✓	✓

15201	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

15202	\[ {} x y^{\prime \prime }+\left (2+2 x \right ) y^{\prime }+2 y = 0 \]	✓	✓	✗

15203	\[ {} \sin \left (x \right )^{2} y^{\prime \prime }-2 \cos \left (x \right ) \sin \left (x \right ) y^{\prime }+\left (1+\cos \left (x \right )^{2}\right ) y = 0 \]	✓	✓	✗

15204	\[ {} x^{2} y^{\prime \prime }-2 x y^{\prime }+\left (x^{2}+2\right ) y = 0 \]	✓	✓	✓

15205	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+y = 0 \]	✓	✓	✓

4.4.30 Problems 2901 to 3000