Problems 301 to 400

Table 4.1317: Higher order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple	Sympy

8926	\[ {} y^{\prime \prime \prime }-8 y = 0 \]	✓	✓	✓

8927	\[ {} y^{\prime \prime \prime \prime }+16 y = 0 \]	✓	✓	✓

8928	\[ {} y^{\prime \prime \prime }-5 y^{\prime \prime }+6 y^{\prime } = 0 \]	✓	✓	✓

8929	\[ {} y^{\prime \prime \prime }-i y^{\prime \prime }+4 y^{\prime }-4 i y = 0 \]	✓	✓	✓

8930	\[ {} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

8931	\[ {} y^{\prime \prime \prime \prime }-16 y = 0 \]	✓	✓	✓

8932	\[ {} y^{\prime \prime \prime }-3 y^{\prime }-2 y = 0 \]	✓	✓	✓

8933	\[ {} y^{\prime \prime \prime }-3 i y^{\prime \prime }-3 y^{\prime }+i y = 0 \]	✓	✓	✓

8934	\[ {} -4 y^{\prime }+y^{\prime \prime \prime } = 0 \]	✓	✓	✓

8935	\[ {} y^{\left (5\right )}-y^{\prime \prime \prime \prime }-y^{\prime }+y = 0 \]	✓	✓	✓

8938	\[ {} y^{\prime \prime \prime \prime }-y = 0 \]	✓	✓	✓

8939	\[ {} y^{\left (5\right )}+2 y = 0 \]	✓	✓	✓

8940	\[ {} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

8941	\[ {} y^{\prime \prime \prime }+y = 0 \]	✓	✓	✓

8942	\[ {} y^{\prime \prime \prime }-i y^{\prime \prime }+y^{\prime }-i y = 0 \]	✓	✓	✓

8944	\[ {} y^{\prime \prime \prime \prime }-k^{4} y = 0 \]	✓	✓	✓

9092	\[ {} 2 y^{\prime \prime \prime }+y^{\prime \prime }-5 y^{\prime }+2 y = 0 \]	✓	✓	✓

9302	\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 0 \]	✓	✓	✓

9303	\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y = 0 \]	✓	✓	✓

9304	\[ {} y^{\prime \prime \prime }-y = 0 \]	✓	✓	✓

9305	\[ {} y^{\prime \prime \prime }+y = 0 \]	✓	✓	✓

9306	\[ {} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 0 \]	✓	✓	✓

9307	\[ {} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+6 y^{\prime \prime }+4 y^{\prime }+y = 0 \]	✓	✓	✓

9308	\[ {} y^{\prime \prime \prime \prime }-y = 0 \]	✓	✓	✓

9309	\[ {} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

9310	\[ {} y^{\prime \prime \prime \prime }-2 a^{2} y^{\prime \prime }+a^{4} y = 0 \]	✓	✓	✓

9311	\[ {} a^{4} y+2 a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0 \]	✓	✓	✓

9312	\[ {} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

9313	\[ {} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime \prime }-6 y^{\prime }+5 y = 0 \]	✓	✓	✓

9314	\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0 \]	✓	✓	✓

9315	\[ {} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y = 0 \]	✓	✓	✓

9316	\[ {} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+48 y^{\prime \prime }+16 y^{\prime }-96 y = 0 \]	✓	✓	✓

9317	\[ {} y^{\prime \prime \prime \prime } = 0 \]	✓	✓	✓

12723	\[ {} y^{\prime \prime \prime }-\lambda y = 0 \]	✓	✓	✓

12726	\[ {} y^{\prime \prime \prime }+3 y^{\prime }-4 y = 0 \]	✓	✓	✓

12733	\[ {} y^{\prime \prime \prime }-2 y^{\prime \prime }-3 y^{\prime }+10 y = 0 \]	✓	✓	✓

12736	\[ {} y^{\prime \prime \prime }+\operatorname {a2} y^{\prime \prime }+\operatorname {a1} y^{\prime }+\operatorname {a0} y = 0 \]	✓	✓	✓

12797	\[ {} y^{\prime \prime \prime \prime } = 0 \]	✓	✓	✓

12799	\[ {} y^{\prime \prime \prime \prime }+\lambda y = 0 \]	✓	✓	✓

12802	\[ {} y^{\prime \prime \prime \prime }+\left (\lambda +1\right ) a^{2} y^{\prime \prime }+\lambda \,a^{4} y = 0 \]	✓	✓	✓

12835	\[ {} f \left (y^{\prime \prime \prime \prime }-2 a^{2} y^{\prime \prime }+a^{4} y\right )+2 \operatorname {df} \left (y^{\prime \prime \prime }-a^{2} y^{\prime }\right ) = 0 \]	✓	✓	✓

12836	\[ {} f y^{\prime \prime \prime \prime } = 0 \]	✓	✓	✓

12844	\[ {} x \left (a y^{\prime }+b y^{\prime \prime }+c y^{\prime \prime \prime }+e y^{\prime \prime \prime \prime }\right ) y = 0 \]	✓	✓	✗

13070	\[ {} 2 y^{\prime } y^{\prime \prime \prime }-3 {y^{\prime }}^{2} = 0 \]	✓	✓	✓

14202	\[ {} y^{\prime \prime \prime }-y^{\prime } = 0 \]	✓	✓	✓

14203	\[ {} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0 \]	✓	✓	✓

14204	\[ {} 4 y^{\prime \prime \prime }-3 y^{\prime }+y = 0 \]	✓	✓	✓

14205	\[ {} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = 0 \]	✓	✓	✓

14206	\[ {} -y-2 y^{\prime }+2 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } = 0 \]	✓	✓	✓

14207	\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+9 y^{\prime } = 0 \]	✓	✓	✓

14208	\[ {} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0 \]	✓	✓	✓

14209	\[ {} y^{\prime }-y^{\prime \prime }+y^{\prime \prime \prime } = 0 \]	✓	✓	✓

14458	\[ {} x^{\prime \prime \prime }+x^{\prime } = 0 \]	✓	✓	✓

14460	\[ {} x^{\prime \prime \prime }+x^{\prime \prime } = 0 \]	✓	✓	✓

14461	\[ {} x^{\prime \prime \prime }-x^{\prime }-8 x = 0 \]	✓	✓	✓

14463	\[ {} x^{\prime \prime \prime }-8 x = 0 \]	✓	✓	✓

14464	\[ {} x^{\prime \prime \prime }+x^{\prime \prime }-x^{\prime }-4 x = 0 \]	✓	✓	✗

14536	\[ {} y^{\prime \prime \prime }-2 y^{\prime \prime }-4 y^{\prime }+8 y = 0 \]	✓	✓	✓

14537	\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+12 y = 0 \]	✓	✓	✓

14678	\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+5 y^{\prime }+12 y = 0 \]	✓	✓	✓

14692	\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y = 0 \]	✓	✓	✓

14693	\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+5 y^{\prime }+12 y = 0 \]	✓	✓	✓

14700	\[ {} y^{\prime \prime \prime }-5 y^{\prime \prime }+7 y^{\prime }-3 y = 0 \]	✓	✓	✓

14701	\[ {} 4 y^{\prime \prime \prime }+4 y^{\prime \prime }-7 y^{\prime }+2 y = 0 \]	✓	✓	✓

14702	\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0 \]	✓	✓	✓

14703	\[ {} y^{\prime \prime \prime }+4 y^{\prime \prime }+5 y^{\prime }+6 y = 0 \]	✓	✓	✓

14704	\[ {} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 0 \]	✓	✓	✓

14705	\[ {} y^{\prime \prime \prime \prime }+8 y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

14706	\[ {} y^{\left (5\right )}-2 y^{\prime \prime \prime \prime }+y^{\prime \prime \prime } = 0 \]	✓	✓	✓

14707	\[ {} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime }+2 y = 0 \]	✓	✓	✓

14708	\[ {} y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }-2 y^{\prime \prime }+2 y^{\prime }+12 y = 0 \]	✓	✓	✓

14709	\[ {} y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+15 y^{\prime \prime }+20 y^{\prime }+12 y = 0 \]	✓	✓	✓

14710	\[ {} y^{\prime \prime \prime \prime }+y = 0 \]	✓	✓	✓

14711	\[ {} y^{\left (5\right )} = 0 \]	✓	✓	✓

14726	\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0 \]	✓	✓	✓

14727	\[ {} y^{\prime \prime \prime }-2 y^{\prime \prime }+4 y^{\prime }-8 y = 0 \]	✓	✓	✓

14728	\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

14729	\[ {} y^{\prime \prime \prime }-5 y^{\prime \prime }+9 y^{\prime }-5 y = 0 \]	✓	✓	✓

14730	\[ {} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+6 y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

14731	\[ {} y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+y^{\prime \prime }+13 y^{\prime }+30 y = 0 \]	✓	✓	✓

15183	\[ {} y^{\prime }+y^{\prime \prime \prime }-3 y^{\prime \prime } = 0 \]	✓	✓	✓

15262	\[ {} y^{\prime \prime \prime }-5 y^{\prime \prime }+y^{\prime }-y = 0 \]	✓	✓	✓

15264	\[ {} 3 y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = 0 \]	✓	✓	✓

15311	\[ {} y^{\prime \prime \prime \prime }+y = 0 \]	✓	✓	✓

15319	\[ {} y^{\prime \prime \prime }+8 y^{\prime \prime }+16 y^{\prime } = 0 \]	✓	✓	✓

15320	\[ {} y^{\prime \prime \prime }+6 y^{\prime \prime }+13 y^{\prime } = 0 \]	✓	✓	✓

15321	\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+13 y^{\prime } = 0 \]	✓	✓	✓

15322	\[ {} y^{\prime \prime \prime }+4 y^{\prime \prime }+29 y^{\prime } = 0 \]	✓	✓	✓

15323	\[ {} y^{\prime \prime \prime }+6 y^{\prime \prime }+25 y^{\prime } = 0 \]	✓	✓	✓

15324	\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+10 y^{\prime } = 0 \]	✓	✓	✓

15325	\[ {} y^{\prime \prime \prime \prime }+13 y^{\prime \prime }+36 y = 0 \]	✓	✓	✓

15512	\[ {} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0 \]	✓	✓	✓

15533	\[ {} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

15534	\[ {} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0 \]	✓	✓	✓

15535	\[ {} -a^{3} y+3 a^{2} y^{\prime }-3 a y^{\prime \prime }+y^{\prime \prime \prime } = 0 \]	✓	✓	✓

15536	\[ {} y^{\left (5\right )}-4 y^{\prime \prime \prime } = 0 \]	✓	✓	✓

15537	\[ {} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+9 y = 0 \]	✓	✓	✓

15538	\[ {} y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

15539	\[ {} y^{\prime \prime \prime \prime }+y = 0 \]	✓	✓	✓

15540	\[ {} y^{\prime \prime \prime \prime }-a^{4} y = 0 \]	✓	✓	✓

4.21.4 Problems 301 to 400