Problems 201 to 300

Table 4.803: Third and higher order homogeneous ODE


#	ODE	Mathematica	Maple	Sympy

4144	\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y = 0 \]	✓	✓	✓

4145	\[ {} y^{\prime \prime \prime }+2 y^{\prime \prime }-5 y^{\prime }-6 y = 0 \]	✓	✓	✓

4146	\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0 \]	✓	✓	✓

4147	\[ {} y^{\prime \prime \prime }+4 y^{\prime } = 0 \]	✓	✓	✓

4148	\[ {} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

4149	\[ {} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-9 y^{\prime \prime }-11 y^{\prime }-4 y = 0 \]	✓	✓	✓

4150	\[ {} y^{\left (6\right )}+9 y^{\prime \prime \prime \prime }+24 y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

4151	\[ {} y^{\prime \prime \prime }-y = 0 \]	✓	✓	✓

4165	\[ {} x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0 \]	✓	✓	✓

4414	\[ {} y^{\prime \prime \prime } = 2 \left (y^{\prime \prime }-1\right ) \cot \left (x \right ) \]	✓	✓	✓

4444	\[ {} y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime }-2 y = 0 \]	✓	✓	✓

4445	\[ {} y^{\prime \prime \prime }+y^{\prime \prime }+9 y^{\prime }+9 y = 0 \]	✓	✓	✓

4446	\[ {} y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = 0 \]	✓	✓	✓

4447	\[ {} y^{\prime \prime \prime }+8 y = 0 \]	✓	✓	✓

4448	\[ {} y^{\prime \prime \prime }-8 y = 0 \]	✓	✓	✓

4449	\[ {} y^{\prime \prime \prime \prime }+4 y = 0 \]	✓	✓	✓

4450	\[ {} y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y = 0 \]	✓	✓	✓

4451	\[ {} y^{\prime \prime \prime \prime }-4 y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

4452	\[ {} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

4453	\[ {} y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+5 y^{\prime \prime }+5 y^{\prime }-6 y = 0 \]	✓	✓	✓

4454	\[ {} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }+9 y^{\prime \prime \prime } = 0 \]	✓	✓	✓

4455	\[ {} y^{\left (6\right )}-64 y = 0 \]	✓	✓	✓

5921	\[ {} y^{\prime \prime \prime }+y^{\prime \prime }-10 y^{\prime }-6 y = 0 \]	✓	✓	✓

5922	\[ {} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-4 y^{\prime \prime }+4 y^{\prime } = 0 \]	✓	✓	✓

5923	\[ {} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+y^{\prime \prime }-4 y^{\prime }-2 y = 0 \]	✓	✓	✓

5924	\[ {} y^{\prime \prime \prime \prime }-a^{2} y = 0 \]	✓	✓	✓

5927	\[ {} y^{\prime \prime \prime \prime } = 0 \]	✓	✓	✓

5929	\[ {} 3 y^{\prime \prime \prime }+5 y^{\prime \prime }+y^{\prime }-y = 0 \]	✓	✓	✓

5930	\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0 \]	✓	✓	✓

5932	\[ {} y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime } = 0 \]	✓	✓	✓

5933	\[ {} y^{\prime \prime \prime \prime }-2 y^{\prime \prime } = 0 \]	✓	✓	✓

5934	\[ {} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-11 y^{\prime \prime }-12 y^{\prime }+36 y = 0 \]	✓	✓	✓

5935	\[ {} 36 y^{\prime \prime \prime \prime }-37 y^{\prime \prime }+4 y^{\prime }+5 y = 0 \]	✓	✓	✓

5936	\[ {} y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+36 y = 0 \]	✓	✓	✓

5939	\[ {} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+6 y = 0 \]	✓	✓	✓

5941	\[ {} y^{\prime \prime \prime \prime }+4 y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

5942	\[ {} y^{\prime \prime \prime }+8 y = 0 \]	✓	✓	✓

5943	\[ {} y^{\prime \prime \prime \prime }+4 y^{\prime \prime } = 0 \]	✓	✓	✓

5944	\[ {} y^{\left (5\right )}+2 y^{\prime \prime \prime }+y^{\prime } = 0 \]	✓	✓	✓

5949	\[ {} 3 y^{\prime \prime \prime }+5 y^{\prime \prime }+y^{\prime }-y = 0 \]	✓	✓	✓

6147	\[ {} y^{\prime \prime \prime }+y = 0 \]	✓	✓	✓

6148	\[ {} y^{\prime \prime \prime }+y^{\prime \prime }-6 y^{\prime } = 0 \]	✓	✓	✓

6149	\[ {} y^{\prime \prime \prime }+3 y^{\prime \prime }-9 y^{\prime }-5 y = 0 \]	✓	✓	✓

6150	\[ {} y^{\prime \prime \prime \prime }+4 y = 0 \]	✓	✓	✓

6210	\[ {} y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime } = 0 \]	✓	✓	✓

6229	\[ {} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+13 y^{\prime \prime }-18 y^{\prime }+36 y = 0 \]	✓	✓	✓

6389	\[ {} x^{\prime \prime \prime }-x^{\prime \prime }+x^{\prime }-x = 0 \]	✓	✓	✓

6391	\[ {} x^{\prime \prime \prime \prime }+x = 0 \]	✓	✓	✓

6392	\[ {} x^{\prime \prime \prime }-3 x^{\prime \prime }-9 x^{\prime }-5 x = 0 \]	✓	✓	✓

6555	\[ {} y^{\prime \prime \prime \prime }-y = 0 \]	✓	✓	✓

6692	\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0 \]	✓	✓	✓

6702	\[ {} y^{\prime \prime \prime }+y^{\prime \prime }-2 y^{\prime } = 0 \]	✓	✓	✓

6704	\[ {} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+12 y^{\prime \prime }-8 y^{\prime } = 0 \]	✓	✓	✓

6707	\[ {} y^{\prime \prime \prime }-y^{\prime \prime }+9 y^{\prime }-9 y = 0 \]	✓	✓	✓

6708	\[ {} y^{\prime \prime \prime \prime }+4 y^{\prime \prime } = 0 \]	✓	✓	✓

6709	\[ {} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+13 y^{\prime \prime }-12 y^{\prime }+4 y = 0 \]	✓	✓	✓

6710	\[ {} y^{\left (6\right )}+9 y^{\prime \prime \prime \prime }+24 y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

6780	\[ {} \left (2 x^{3}-1\right ) y^{\prime \prime \prime }-6 x^{2} y^{\prime \prime }+6 x y^{\prime } = 0 \]	✓	✓	✗

6877	\[ {} x y^{\prime \prime \prime }-{y^{\prime }}^{4}+y = 0 \]	✗	✗	✗

6878	\[ {} t^{5} y^{\prime \prime \prime \prime }-t^{3} y^{\prime \prime }+6 y = 0 \]	✓	✗	✗

6913	\[ {} x^{2} y^{\prime \prime \prime }-3 x y^{\prime \prime }+3 y^{\prime } = 0 \]	✓	✓	✓

6931	\[ {} y^{\prime \prime \prime \prime }-20 y^{\prime \prime \prime }+158 y^{\prime \prime }-580 y^{\prime }+841 y = 0 \]	✓	✓	✓

6932	\[ {} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }+20 x y^{\prime }-78 y = 0 \]	✓	✓	✓

7485	\[ {} y^{\prime \prime \prime }-2 x y^{\prime \prime }+4 x^{2} y^{\prime }+8 x^{3} y = 0 \]	✗	✗	✗

7488	\[ {} x^{4} y^{\prime \prime \prime \prime }-x^{2} y^{\prime \prime }+y = 0 \]	✓	✓	✓

7526	\[ {} 3 {y^{\prime \prime }}^{2}-y^{\prime } y^{\prime \prime \prime }-y^{\prime \prime } {y^{\prime }}^{2} = 0 \]	✓	✓	✓

7532	\[ {} y^{\left (5\right )}-\frac {y^{\prime \prime \prime \prime }}{t} = 0 \]	✓	✓	✓

7553	\[ {} a y^{\prime \prime } y^{\prime \prime \prime } = \sqrt {1+{y^{\prime \prime }}^{2}} \]	✓	✓	✗

7554	\[ {} a^{2} y^{\prime \prime \prime \prime } = y^{\prime \prime } \]	✓	✓	✓

7640	\[ {} y^{\prime \prime \prime }-8 y = 0 \]	✓	✓	✓

7641	\[ {} y^{\prime \prime \prime \prime }+16 y = 0 \]	✓	✓	✓

7642	\[ {} y^{\prime \prime \prime }-5 y^{\prime \prime }+6 y^{\prime } = 0 \]	✓	✓	✓

7643	\[ {} y^{\prime \prime \prime }-i y^{\prime \prime }+4 y^{\prime }-4 i y = 0 \]	✓	✓	✓

7644	\[ {} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

7645	\[ {} y^{\prime \prime \prime \prime }-16 y = 0 \]	✓	✓	✓

7646	\[ {} y^{\prime \prime \prime }-3 y^{\prime }-2 y = 0 \]	✓	✓	✓

7647	\[ {} y^{\prime \prime \prime }-3 i y^{\prime \prime }-3 y^{\prime }+i y = 0 \]	✓	✓	✓

7648	\[ {} y^{\prime \prime \prime }-4 y^{\prime } = 0 \]	✓	✓	✓

7649	\[ {} y^{\left (5\right )}-y^{\prime \prime \prime \prime }-y^{\prime }+y = 0 \]	✓	✓	✓

7652	\[ {} y^{\prime \prime \prime \prime }-y = 0 \]	✓	✓	✓

7653	\[ {} y^{\left (5\right )}+2 y = 0 \]	✓	✓	✓

7654	\[ {} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

7655	\[ {} y^{\prime \prime \prime }+y = 0 \]	✓	✓	✓

7656	\[ {} y^{\prime \prime \prime }-i y^{\prime \prime }+y^{\prime }-i y = 0 \]	✓	✓	✓

7658	\[ {} y^{\prime \prime \prime \prime }-k^{4} y = 0 \]	✓	✓	✓

7683	\[ {} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 0 \]	✓	✓	✓

7695	\[ {} y^{\prime \prime \prime }-x y = 0 \]	✓	✓	✗

7703	\[ {} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-x y^{\prime }+y = 0 \]	✓	✓	✓

7806	\[ {} 2 y^{\prime \prime \prime }+y^{\prime \prime }-5 y^{\prime }+2 y = 0 \]	✓	✓	✓

8016	\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 0 \]	✓	✓	✓

8017	\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y = 0 \]	✓	✓	✓

8018	\[ {} y^{\prime \prime \prime }-y = 0 \]	✓	✓	✓

8019	\[ {} y^{\prime \prime \prime }+y = 0 \]	✓	✓	✓

8020	\[ {} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 0 \]	✓	✓	✓

8021	\[ {} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+6 y^{\prime \prime }+4 y^{\prime }+y = 0 \]	✓	✓	✓

8022	\[ {} y^{\prime \prime \prime \prime }-y = 0 \]	✓	✓	✓

8023	\[ {} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

8024	\[ {} y^{\prime \prime \prime \prime }-2 a^{2} y^{\prime \prime }+a^{4} y = 0 \]	✓	✓	✓

8025	\[ {} y^{\prime \prime \prime \prime }+2 a^{2} y^{\prime \prime }+a^{4} y = 0 \]	✓	✓	✓

8026	\[ {} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

4.11.3 Problems 201 to 300