Problems 7201 to 7300

Table 6.145: Main lookup table sequentially arranged


#	ODE	Mathematica	Maple	Sympy

7201	\[ {} \left (x^{2}-25\right ) y^{\prime \prime }+2 x y^{\prime }+y = 0 \]	✓	✓	✓

7202	\[ {} \left (x^{2}-25\right ) y^{\prime \prime }+2 x y^{\prime }+y = 0 \]	✓	✓	✓

7203	\[ {} \left (x^{2}-2 x +10\right ) y^{\prime \prime }+x y^{\prime }-4 y = 0 \]	✓	✓	✓

7204	\[ {} \left (x^{2}-2 x +10\right ) y^{\prime \prime }+x y^{\prime }-4 y = 0 \]	✓	✓	✓

7205	\[ {} y^{\prime \prime }-x y = 0 \]	✓	✓	✓

7206	\[ {} y^{\prime \prime }+x^{2} y = 0 \]	✓	✓	✓

7207	\[ {} y^{\prime \prime }-2 x y^{\prime }+y = 0 \]	✓	✓	✓

7208	\[ {} y^{\prime \prime }-x y^{\prime }+2 y = 0 \]	✓	✓	✓

7209	\[ {} y^{\prime \prime }+x^{2} y^{\prime }+x y = 0 \]	✓	✓	✓

7210	\[ {} y^{\prime \prime }+2 x y^{\prime }+2 y = 0 \]	✓	✓	✓

7211	\[ {} \left (x -1\right ) y^{\prime \prime }+y^{\prime } = 0 \]	✓	✓	✗

7212	\[ {} \left (x +2\right ) y^{\prime \prime }+x y^{\prime }-y = 0 \]	✓	✓	✓

7213	\[ {} y^{\prime \prime }-\left (1+x \right ) y^{\prime }-y = 0 \]	✓	✓	✓

7214	\[ {} \left (x^{2}+1\right ) y^{\prime \prime }-6 y = 0 \]	✓	✓	✓

7215	\[ {} \left (x^{2}+2\right ) y^{\prime \prime }+3 x y^{\prime }-y = 0 \]	✓	✓	✓

7216	\[ {} \left (x^{2}-1\right ) y^{\prime \prime }+x y^{\prime }-y = 0 \]	✓	✓	✓

7217	\[ {} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0 \]	✓	✓	✓

7218	\[ {} \left (1+x \right ) y^{\prime \prime }-\left (2-x \right ) y^{\prime }+y = 0 \]	✓	✓	✓

7219	\[ {} y^{\prime \prime }-2 x y^{\prime }+8 y = 0 \]	✓	✓	✓

7220	\[ {} \left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime } = 0 \]	✓	✓	✓

7221	\[ {} y^{\prime \prime }+\sin \left (x \right ) y = 0 \]	✓	✓	✓

7222	\[ {} y^{\prime \prime }+{\mathrm e}^{x} y^{\prime }-y = 0 \]	✓	✓	✓

7223	\[ {} y^{\prime \prime }+x y^{\prime }+y = 0 \]	✓	✓	✓

7224	\[ {} x^{3} y^{\prime \prime }+4 x^{2} y^{\prime }+3 y = 0 \]	✓	✗	✗

7225	\[ {} x \left (x +3\right )^{2} y^{\prime \prime }-y = 0 \]	✓	✓	✓

7226	\[ {} \left (x^{2}-9\right )^{2} y^{\prime \prime }+\left (x +3\right ) y^{\prime }+2 y = 0 \]	✓	✓	✓

7227	\[ {} y^{\prime \prime }-\frac {y^{\prime }}{x}+\frac {y}{\left (x -1\right )^{3}} = 0 \]	✓	✓	✓

7228	\[ {} \left (x^{3}+4 x \right ) y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \]	✓	✓	✓

7229	\[ {} x^{2} \left (x -5\right )^{2} y^{\prime \prime }+4 x y^{\prime }+\left (x^{2}-25\right ) y = 0 \]	✓	✓	✗

7230	\[ {} \left (x^{2}+x -6\right ) y^{\prime \prime }+\left (x +3\right ) y^{\prime }+\left (x -2\right ) y = 0 \]	✓	✓	✓

7231	\[ {} x \left (x^{2}+1\right )^{2} y^{\prime \prime }+y = 0 \]	✓	✓	✓

7232	\[ {} x^{3} \left (x^{2}-25\right ) \left (x -2\right )^{2} y^{\prime \prime }+3 x \left (x -2\right ) y^{\prime }+7 \left (x +5\right ) y = 0 \]	✓	✗	✗

7233	\[ {} \left (x^{3}-2 x^{2}+3 x \right )^{2} y^{\prime \prime }+x \left (x -3\right )^{2} y^{\prime }-\left (1+x \right ) y = 0 \]	✓	✓	✓

7234	\[ {} \left (x^{2}-1\right ) y^{\prime \prime }+5 \left (1+x \right ) y^{\prime }+\left (x^{2}-x \right ) y = 0 \]	✓	✓	✓

7235	\[ {} x y^{\prime \prime }+\left (x +3\right ) y^{\prime }+7 x^{2} y = 0 \]	✓	✓	✓

7236	\[ {} x^{2} y^{\prime \prime }+\left (\frac {5}{3} x +x^{2}\right ) y^{\prime }-\frac {y}{3} = 0 \]	✓	✓	✓

7237	\[ {} x y^{\prime \prime }+y^{\prime }+10 y = 0 \]	✓	✓	✓

7238	\[ {} 2 x y^{\prime \prime }-y^{\prime }+2 y = 0 \]	✓	✓	✓

7239	\[ {} 2 x y^{\prime \prime }+5 y^{\prime }+x y = 0 \]	✓	✓	✓

7240	\[ {} 4 x y^{\prime \prime }+\frac {y^{\prime }}{2}+y = 0 \]	✓	✓	✓

7241	\[ {} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (x^{2}+1\right ) y = 0 \]	✓	✓	✓

7242	\[ {} 3 x y^{\prime \prime }+\left (2-x \right ) y^{\prime }-y = 0 \]	✓	✓	✓

7243	\[ {} x^{2} y^{\prime \prime }-\left (x -\frac {2}{9}\right ) y = 0 \]	✓	✓	✓

7244	\[ {} 2 x y^{\prime \prime }-\left (2 x +3\right ) y^{\prime }+y = 0 \]	✓	✓	✓

7245	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {4}{9}\right ) y = 0 \]	✓	✓	✓

7246	\[ {} 9 x^{2} y^{\prime \prime }+9 x^{2} y^{\prime }+2 y = 0 \]	✓	✓	✓

7247	\[ {} 2 x^{2} y^{\prime \prime }+3 x y^{\prime }+\left (2 x -1\right ) y = 0 \]	✓	✓	✓

7248	\[ {} x y^{\prime \prime }+2 y^{\prime }-x y = 0 \]	✓	✓	✓

7249	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]	✓	✓	✓

7250	\[ {} x y^{\prime \prime }-x y^{\prime }+y = 0 \]	✓	✓	✓

7251	\[ {} y^{\prime \prime }+\frac {3 y^{\prime }}{x}-2 y = 0 \]	✓	✓	✓

7252	\[ {} x y^{\prime \prime }+\left (1-x \right ) y^{\prime }-y = 0 \]	✓	✓	✓

7253	\[ {} x y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

7254	\[ {} x y^{\prime \prime }+\left (x -6\right ) y^{\prime }-3 y = 0 \]	✓	✓	✗

7255	\[ {} x \left (x -1\right ) y^{\prime \prime }+3 y^{\prime }-2 y = 0 \]	✓	✓	✓

7256	\[ {} x^{4} y^{\prime \prime }+\lambda y = 0 \]	✓	✗	✗

7257	\[ {} x^{3} y^{\prime \prime }+y = 0 \]	✓	✗	✗

7258	\[ {} x^{2} y^{\prime \prime }+\left (3 x -1\right ) y^{\prime }+y = 0 \]	✓	✗	✗

7259	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{9}\right ) y = 0 \]	✓	✓	✓

7260	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y = 0 \]	✓	✓	✓

7261	\[ {} 4 x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}-25\right ) y = 0 \]	✓	✓	✓

7262	\[ {} 16 x^{2} y^{\prime \prime }+16 x y^{\prime }+\left (16 x^{2}-1\right ) y = 0 \]	✓	✓	✓

7263	\[ {} x y^{\prime \prime }+y^{\prime }+x y = 0 \]	✓	✓	✓

7264	\[ {} y^{\prime }+x y^{\prime \prime }+\left (x -\frac {4}{x}\right ) y = 0 \]	✓	✓	✓

7265	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (9 x^{2}-4\right ) y = 0 \]	✓	✓	✓

7266	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (36 x^{2}-\frac {1}{4}\right ) y = 0 \]	✓	✓	✓

7267	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (25 x^{2}-\frac {4}{9}\right ) y = 0 \]	✓	✓	✓

7268	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (2 x^{2}-64\right ) y = 0 \]	✓	✓	✗

7269	\[ {} x y^{\prime \prime }+2 y^{\prime }+4 y = 0 \]	✓	✓	✓

7270	\[ {} x y^{\prime \prime }+3 y^{\prime }+x y = 0 \]	✓	✓	✓

7271	\[ {} x y^{\prime \prime }-y^{\prime }+x y = 0 \]	✓	✓	✓

7272	\[ {} x y^{\prime \prime }-5 y^{\prime }+x y = 0 \]	✓	✓	✗

7273	\[ {} x^{2} y^{\prime \prime }+\left (x^{2}-2\right ) y = 0 \]	✓	✓	✓

7274	\[ {} 4 x^{2} y^{\prime \prime }+\left (16 x^{2}+1\right ) y = 0 \]	✓	✓	✓

7275	\[ {} x y^{\prime \prime }+3 y^{\prime }+x^{3} y = 0 \]	✓	✓	✓

7276	\[ {} 9 x^{2} y^{\prime \prime }+9 x y^{\prime }+\left (x^{6}-36\right ) y = 0 \]	✓	✓	✓

7277	\[ {} y^{\prime \prime }-x^{2} y = 0 \]	✓	✓	✓

7278	\[ {} x y^{\prime \prime }+y^{\prime }-7 x^{3} y = 0 \]	✓	✓	✓

7279	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

7280	\[ {} x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (x^{2}+2\right ) y = 0 \]	✓	✓	✓

7281	\[ {} 16 x^{2} y^{\prime \prime }+32 x y^{\prime }+\left (x^{4}-12\right ) y = 0 \]	✓	✓	✓

7282	\[ {} 4 x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (16 x^{4}+3\right ) y = 0 \]	✓	✓	✓

7283	\[ {} 2 x y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

7284	\[ {} y^{\prime \prime }-x y^{\prime }-y = 0 \]	✓	✓	✓

7285	\[ {} \left (x -1\right ) y^{\prime \prime }+3 y = 0 \]	✓	✓	✓

7286	\[ {} y^{\prime \prime }-x^{2} y^{\prime }+x y = 0 \]	✓	✓	✓

7287	\[ {} x y^{\prime \prime }-\left (x +2\right ) y^{\prime }+2 y = 0 \]	✓	✓	✓

7288	\[ {} \cos \left (x \right ) y^{\prime \prime }+y = 0 \]	✓	✓	✓

7289	\[ {} y^{\prime \prime }+x y^{\prime }+2 y = 0 \]	✓	✓	✓

7290	\[ {} \left (x +2\right ) y^{\prime \prime }+3 y = 0 \]	✓	✓	✓

7291	\[ {} \left (1+x \right ) y^{\prime } = y \]	✓	✓	✓

7292	\[ {} y^{\prime } = -2 x y \]	✓	✓	✓

7293	\[ {} x y^{\prime }-3 y = k \]	✓	✓	✗

7294	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

7295	\[ {} y^{\prime \prime }-y^{\prime }+x y = 0 \]	✓	✓	✓

7296	\[ {} y^{\prime \prime }-y^{\prime }+x^{2} y = 0 \]	✓	✓	✓

7297	\[ {} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0 \]	✓	✓	✓

7298	\[ {} y^{\prime \prime }+\left (x^{2}+1\right ) y = 0 \]	✓	✓	✓

7299	\[ {} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-2\right ) y = 0 \]	✓	✓	✓

7300	\[ {} y^{\prime }+4 y = 1 \]	✓	✓	✓

6.73 Problems 7201 to 7300