Problems 101 to 200

Table 4.1057: Third and higher order homogeneous ODE


#	ODE	Mathematica	Maple	Sympy

2109	\[ {} x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \]	✓	✓	✓

2110	\[ {} x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \]	✓	✓	✓

2111	\[ {} x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \]	✓	✓	✓

2112	\[ {} x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \]	✓	✓	✓

2113	\[ {} y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = 0 \]	✓	✓	✓

2114	\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }+7 y^{\prime }-5 y = 0 \]	✓	✓	✓

2115	\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0 \]	✓	✓	✓

2116	\[ {} y^{\prime \prime \prime \prime }+8 y^{\prime \prime }-9 y = 0 \]	✓	✓	✓

2117	\[ {} y^{\prime \prime \prime }-y^{\prime \prime }+16 y^{\prime }-16 y = 0 \]	✓	✓	✓

2118	\[ {} 2 y^{\prime \prime \prime }+3 y^{\prime \prime }-2 y^{\prime }-3 y = 0 \]	✓	✓	✓

2119	\[ {} y^{\prime \prime \prime }+5 y^{\prime \prime }+9 y^{\prime }+5 y = 0 \]	✓	✓	✓

2120	\[ {} 4 y^{\prime \prime \prime }-8 y^{\prime \prime }+5 y^{\prime }-y = 0 \]	✓	✓	✓

2121	\[ {} 27 y^{\prime \prime \prime }+27 y^{\prime \prime }+9 y^{\prime }+y = 0 \]	✓	✓	✓

2122	\[ {} y^{\prime \prime \prime \prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

2123	\[ {} y^{\prime \prime \prime \prime }-16 y = 0 \]	✓	✓	✓

2124	\[ {} y^{\prime \prime \prime \prime }+12 y^{\prime \prime }+36 y = 0 \]	✓	✓	✓

2125	\[ {} 16 y^{\prime \prime \prime \prime }-72 y^{\prime \prime }+81 y = 0 \]	✓	✓	✓

2126	\[ {} 6 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }+7 y^{\prime \prime }+5 y^{\prime }+y = 0 \]	✓	✓	✓

2127	\[ {} 4 y^{\prime \prime \prime \prime }+12 y^{\prime \prime \prime }+3 y^{\prime \prime }-13 y^{\prime }-6 y = 0 \]	✓	✓	✓

2128	\[ {} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+7 y^{\prime \prime }-6 y^{\prime }+2 y = 0 \]	✓	✓	✓

2129	\[ {} y^{\prime \prime \prime }-2 y^{\prime \prime }+4 y^{\prime }-8 y = 0 \]	✓	✓	✓

2130	\[ {} y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y = 0 \]	✓	✓	✓

2131	\[ {} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = 0 \]	✓	✓	✓

2132	\[ {} y^{\prime \prime \prime }-2 y^{\prime }-4 y = 0 \]	✓	✓	✓

2133	\[ {} 3 y^{\prime \prime \prime }-y^{\prime \prime }-7 y^{\prime }+5 y = 0 \]	✓	✓	✓

2134	\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0 \]	✓	✓	✓

2135	\[ {} 2 y^{\prime \prime \prime }-11 y^{\prime \prime }+12 y^{\prime }+9 y = 0 \]	✓	✓	✓

2136	\[ {} 8 y^{\prime \prime \prime }-4 y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

2137	\[ {} y^{\prime \prime \prime \prime }-16 y = 0 \]	✓	✓	✓

2138	\[ {} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+7 y^{\prime \prime }+6 y^{\prime }-8 y = 0 \]	✓	✓	✓

2139	\[ {} 4 y^{\prime \prime \prime \prime }-13 y^{\prime \prime }+9 y = 0 \]	✓	✓	✓

2140	\[ {} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime \prime }-8 y^{\prime }-8 y = 0 \]	✓	✓	✓

2141	\[ {} 4 y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+19 y^{\prime \prime }+32 y^{\prime }+12 y = 0 \]	✓	✓	✓

2142	\[ {} y^{\prime \prime \prime \prime }-y = 0 \]	✓	✓	✓

2143	\[ {} y^{\prime \prime \prime \prime }+y = 0 \]	✓	✓	✓

2144	\[ {} y^{\prime \prime \prime \prime }+64 y = 0 \]	✓	✓	✓

2145	\[ {} y^{\left (6\right )}-y = 0 \]	✓	✓	✓

2146	\[ {} y^{\prime \prime \prime \prime }+64 y = 0 \]	✓	✓	✓

2147	\[ {} y^{\left (5\right )}+y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

2710	\[ {} y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 0 \]	✓	✓	✓

2711	\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+5 y^{\prime }+12 y = 0 \]	✓	✓	✓

2712	\[ {} y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+6 y^{\prime \prime }+4 y^{\prime }-8 y = 0 \]	✓	✓	✓

2713	\[ {} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 0 \]	✓	✓	✓

2714	\[ {} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+14 y^{\prime \prime }-20 y^{\prime }+25 y = 0 \]	✓	✓	✓

2715	\[ {} y^{\prime \prime \prime \prime }-y = 0 \]	✓	✓	✓

2716	\[ {} y^{\left (5\right )}-2 y^{\prime \prime \prime \prime }+y^{\prime \prime \prime } = 0 \]	✓	✓	✓

2717	\[ {} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+y^{\prime \prime }+2 y^{\prime }-2 y = 0 \]	✓	✓	✓

3068	\[ {} 2 y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

3069	\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+12 y = 0 \]	✓	✓	✓

3070	\[ {} y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }+6 y = 0 \]	✓	✓	✓

3071	\[ {} y^{\prime \prime \prime \prime }-6 y^{\prime \prime }+8 y = 0 \]	✓	✓	✓

3072	\[ {} y^{\prime \prime \prime }-7 y^{\prime }+6 y = 0 \]	✓	✓	✓

3073	\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0 \]	✓	✓	✓

3074	\[ {} y^{\prime \prime \prime }-4 y^{\prime \prime }-17 y^{\prime }+60 y = 0 \]	✓	✓	✓

3075	\[ {} y^{\prime \prime \prime }-9 y^{\prime \prime }+23 y^{\prime }-15 y = 0 \]	✓	✓	✓

3076	\[ {} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-7 y^{\prime \prime }-y^{\prime }+6 y = 0 \]	✓	✓	✓

3077	\[ {} 2 y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }-20 y^{\prime \prime }+27 y^{\prime }+18 y = 0 \]	✓	✓	✓

3078	\[ {} 12 y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime } = 0 \]	✓	✓	✓

3079	\[ {} y^{\prime \prime \prime }-4 y^{\prime \prime }+3 y^{\prime } = 0 \]	✓	✓	✓

3080	\[ {} 4 y^{\prime \prime \prime }+2 y^{\prime \prime }-4 y^{\prime }+y = 0 \]	✓	✓	✓

3081	\[ {} y^{\prime \prime \prime }-5 y^{\prime \prime }-2 y^{\prime }+24 y = 0 \]	✓	✓	✓

3082	\[ {} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-7 y^{\prime \prime }-8 y^{\prime }+12 y = 0 \]	✓	✓	✓

3083	\[ {} y^{\left (5\right )}-3 y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+15 y^{\prime \prime }+4 y^{\prime }-12 y = 0 \]	✓	✓	✓

3084	\[ {} y^{\left (5\right )}+y^{\prime \prime \prime \prime }-13 y^{\prime \prime \prime }-13 y^{\prime \prime }+36 y^{\prime }+36 y = 0 \]	✓	✓	✓

3085	\[ {} y^{\left (5\right )}+3 y^{\prime \prime \prime \prime }-15 y^{\prime \prime \prime }-19 y^{\prime \prime }+30 y^{\prime } = 0 \]	✓	✓	✓

3086	\[ {} y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-4 y = 0 \]	✓	✓	✓

3087	\[ {} y^{\left (5\right )}+3 y^{\prime \prime \prime }+2 y^{\prime } = 0 \]	✓	✓	✓

3090	\[ {} 2 y^{\prime \prime \prime }+y^{\prime \prime }-4 y^{\prime }-3 y = 0 \]	✓	✓	✓

3091	\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0 \]	✓	✓	✓

3092	\[ {} y^{\prime \prime \prime \prime } = 0 \]	✓	✓	✓

3093	\[ {} y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = 0 \]	✓	✓	✓

3094	\[ {} 4 y^{\prime \prime \prime }-3 y^{\prime }+y = 0 \]	✓	✓	✓

3095	\[ {} 4 y^{\left (5\right )}-3 y^{\prime \prime \prime }-y^{\prime \prime } = 0 \]	✓	✓	✓

3096	\[ {} y^{\prime \prime \prime }-7 y^{\prime \prime }+16 y^{\prime }-12 y = 0 \]	✓	✓	✓

3097	\[ {} 4 y^{\prime \prime \prime }-8 y^{\prime \prime }+5 y^{\prime }-y = 0 \]	✓	✓	✓

3098	\[ {} y^{\prime \prime \prime \prime }-y = 0 \]	✓	✓	✓

3099	\[ {} y^{\prime \prime \prime }-8 y = 0 \]	✓	✓	✓

3101	\[ {} y^{\prime \prime \prime \prime }+y^{\prime \prime }-20 y = 0 \]	✓	✓	✓

3102	\[ {} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+6 y = 0 \]	✓	✓	✓

3103	\[ {} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-8 y^{\prime }+8 y = 0 \]	✓	✓	✓

3104	\[ {} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }-6 y^{\prime }+2 y = 0 \]	✓	✓	✓

3105	\[ {} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }-4 y = 0 \]	✓	✓	✓

3106	\[ {} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+10 y^{\prime }-15 y = 0 \]	✓	✓	✓

3107	\[ {} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+11 y^{\prime }-40 y = 0 \]	✓	✓	✓

3108	\[ {} y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+4 y^{\prime \prime }-12 y^{\prime }+16 y = 0 \]	✓	✓	✓

3109	\[ {} 4 y^{\prime \prime \prime }+12 y^{\prime \prime }-3 y^{\prime }+14 y = 0 \]	✓	✓	✓

3110	\[ {} y^{\left (5\right )}-y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }-6 y^{\prime \prime }+8 y^{\prime }-8 y = 0 \]	✓	✓	✓

3700	\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y = 0 \]	✓	✓	✓

3701	\[ {} y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y^{\prime }-12 y = 0 \]	✓	✓	✓

3702	\[ {} y^{\prime \prime \prime }+3 y^{\prime \prime }-18 y^{\prime }-40 y = 0 \]	✓	✓	✓

3703	\[ {} y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime } = 0 \]	✓	✓	✓

3704	\[ {} y^{\prime \prime \prime }+y^{\prime \prime }-10 y^{\prime }+8 y = 0 \]	✓	✓	✓

3705	\[ {} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }-y^{\prime \prime }+2 y^{\prime } = 0 \]	✓	✓	✓

3706	\[ {} y^{\prime \prime \prime \prime }-13 y^{\prime \prime }+36 y = 0 \]	✓	✓	✓

3709	\[ {} x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0 \]	✓	✓	✓

3710	\[ {} x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-6 x y^{\prime } = 0 \]	✓	✓	✓

3795	\[ {} y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y = 0 \]	✓	✓	✓

3796	\[ {} y^{\prime \prime \prime }+11 y^{\prime \prime }+36 y^{\prime }+26 y = 0 \]	✓	✓	✓

4142	\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 0 \]	✓	✓	✓

4143	\[ {} y^{\prime \prime \prime }-y^{\prime \prime }-12 y = 0 \]	✓	✓	✓

4.11.2 Problems 101 to 200