Problems 201 to 300

Table 4.1097: Second order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple	Sympy

2558	\[ {} y^{\prime \prime }+2 y^{\prime }+3 y = 0 \]	✓	✓	✓

2559	\[ {} 4 y^{\prime \prime }-y^{\prime }+y = 0 \]	✓	✓	✓

2560	\[ {} y^{\prime \prime }+y^{\prime }+2 y = 0 \]	✓	✓	✓

2561	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

2562	\[ {} 2 y^{\prime \prime }-y^{\prime }+3 y = 0 \]	✓	✓	✓

2563	\[ {} 3 y^{\prime \prime }-2 y^{\prime }+4 y = 0 \]	✓	✓	✓

2564	\[ {} y^{\prime \prime }+w^{2} y = 0 \]	✓	✓	✓

2567	\[ {} y^{\prime \prime }-6 y^{\prime }+9 y = 0 \]	✓	✓	✓

2568	\[ {} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0 \]	✓	✓	✓

2569	\[ {} 9 y^{\prime \prime }+6 y^{\prime }+y = 0 \]	✓	✓	✓

2570	\[ {} 4 y^{\prime \prime }-4 y^{\prime }+y = 0 \]	✓	✓	✓

2571	\[ {} 6 y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

2572	\[ {} 9 y^{\prime \prime }-12 y^{\prime }+4 y = 0 \]	✓	✓	✓

2835	\[ {} y^{\prime \prime }+\lambda y = 0 \]	✓	✓	✓

2836	\[ {} y^{\prime \prime }+\lambda y = 0 \]	✓	✓	✓

2837	\[ {} y^{\prime \prime }-\lambda y = 0 \]	✓	✓	✓

2838	\[ {} y^{\prime \prime }+\lambda y = 0 \]	✓	✓	✓

2839	\[ {} y^{\prime \prime }-2 y^{\prime }+\left (1+\lambda \right ) y = 0 \]	✓	✓	✓

2840	\[ {} y^{\prime \prime }+\lambda y = 0 \]	✓	✓	✓

3059	\[ {} y^{\prime \prime }-4 y = 0 \]	✓	✓	✓

3060	\[ {} y^{\prime \prime }+7 y^{\prime }+12 y = 0 \]	✓	✓	✓

3061	\[ {} y^{\prime \prime }-3 y^{\prime }+2 y = 0 \]	✓	✓	✓

3062	\[ {} y^{\prime \prime }-7 y^{\prime }+6 y = 0 \]	✓	✓	✓

3063	\[ {} 2 y^{\prime \prime }+3 y^{\prime }-2 y = 0 \]	✓	✓	✓

3064	\[ {} y^{\prime \prime }-2 y^{\prime }-y = 0 \]	✓	✓	✓

3065	\[ {} y^{\prime \prime }-2 y^{\prime }-2 y = 0 \]	✓	✓	✓

3066	\[ {} y^{\prime \prime }-3 y^{\prime }+y = 0 \]	✓	✓	✓

3067	\[ {} 2 y^{\prime \prime }+2 y^{\prime }-y = 0 \]	✓	✓	✓

3088	\[ {} y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

3089	\[ {} y^{\prime \prime } = 0 \]	✓	✓	✓

3100	\[ {} y^{\prime \prime }-2 y^{\prime }+3 y = 0 \]	✓	✓	✓

3245	\[ {} y^{\prime \prime } = k^{2} y \]	✓	✓	✓

3246	\[ {} x^{\prime \prime }+k^{2} x = 0 \]	✓	✓	✓

3266	\[ {} y^{\prime \prime } = y \]	✓	✓	✓

3282	\[ {} x^{\prime \prime }-k^{2} x = 0 \]	✓	✓	✓

3485	\[ {} f^{\prime \prime }+2 f^{\prime }+5 f = 0 \]	✓	✓	✓

3558	\[ {} y^{\prime \prime }-25 y = 0 \]	✓	✓	✓

3559	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

3560	\[ {} y^{\prime \prime }+y^{\prime }-2 y = 0 \]	✓	✓	✓

3563	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

3564	\[ {} y^{\prime \prime }-9 y = 0 \]	✓	✓	✓

3570	\[ {} y^{\prime \prime }-\left (a +b \right ) y^{\prime }+b y a = 0 \]	✓	✓	✓

3571	\[ {} y^{\prime \prime }-2 a y^{\prime }+y a^{2} = 0 \]	✓	✓	✓

3572	\[ {} y^{\prime \prime }-2 a y^{\prime }+\left (a^{2}+b^{2}\right ) y = 0 \]	✓	✓	✓

3573	\[ {} y^{\prime \prime }-y^{\prime }-6 y = 0 \]	✓	✓	✓

3574	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

3590	\[ {} y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓	✓

3696	\[ {} y^{\prime \prime }-2 y^{\prime }-3 y = 0 \]	✓	✓	✓

3697	\[ {} y^{\prime \prime }+7 y^{\prime }+10 y = 0 \]	✓	✓	✓

3698	\[ {} y^{\prime \prime }-36 y = 0 \]	✓	✓	✓

3699	\[ {} y^{\prime \prime }+4 y^{\prime } = 0 \]	✓	✓	✓

3935	\[ {} y^{\prime \prime }+y^{\prime }-2 y = 0 \]	✓	✓	✓

3936	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

3955	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

4118	\[ {} y^{\prime \prime }+8 y^{\prime }+15 y = 0 \]	✓	✓	✓

4119	\[ {} y^{\prime \prime }+2 y^{\prime }-15 y = 0 \]	✓	✓	✓

4120	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

4121	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

4122	\[ {} y^{\prime \prime }-3 y^{\prime }+2 y = 0 \]	✓	✓	✓

4123	\[ {} y^{\prime \prime }-4 y^{\prime }+13 y = 0 \]	✓	✓	✓

4124	\[ {} 2 y^{\prime \prime }+3 y^{\prime } = 0 \]	✓	✓	✓

4125	\[ {} y^{\prime \prime }+25 y = 0 \]	✓	✓	✓

4126	\[ {} 4 y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

4127	\[ {} y^{\prime \prime } = 0 \]	✓	✓	✓

4128	\[ {} y^{\prime \prime }-6 y^{\prime }+5 y = 0 \]	✓	✓	✓

4161	\[ {} y^{\prime \prime }-3 y^{\prime }+2 y = 0 \]	✓	✓	✓

4163	\[ {} 25 y^{\prime \prime }-30 y^{\prime }+9 y = 0 \]	✓	✓	✓

5916	\[ {} y^{\prime \prime }+2 y^{\prime } = 0 \]	✓	✓	✓

5917	\[ {} y^{\prime \prime }-3 y^{\prime }+2 y = 0 \]	✓	✓	✓

5918	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

5919	\[ {} 6 y^{\prime \prime }-11 y^{\prime }+4 y = 0 \]	✓	✓	✓

5920	\[ {} y^{\prime \prime }+2 y^{\prime }-y = 0 \]	✓	✓	✓

5925	\[ {} y^{\prime \prime }-2 k y^{\prime }-2 y = 0 \]	✓	✓	✓

5926	\[ {} y^{\prime \prime }+4 k y^{\prime }-12 k^{2} y = 0 \]	✓	✓	✓

5928	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓	✓

5931	\[ {} y^{\prime \prime }-2 a y^{\prime }+y a^{2} = 0 \]	✓	✓	✓

5937	\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓	✓

5938	\[ {} y^{\prime \prime }-y^{\prime }+y = 0 \]	✓	✓	✓

5940	\[ {} y^{\prime \prime }-4 y^{\prime }+20 y = 0 \]	✓	✓	✓

5945	\[ {} y^{\prime \prime } = 0 \]	✓	✓	✓

5946	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓	✓

5947	\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓	✓

5948	\[ {} y^{\prime \prime }-4 y^{\prime }+20 y = 0 \]	✓	✓	✓

6135	\[ {} y^{\prime \prime }+y^{\prime }-2 y = 0 \]	✓	✓	✓

6136	\[ {} y^{\prime \prime }-4 y^{\prime }+4 y = 0 \]	✓	✓	✓

6137	\[ {} y^{\prime \prime }+9 y^{\prime } = 0 \]	✓	✓	✓

6138	\[ {} y^{\prime \prime }+2 y^{\prime }+2 y = 0 \]	✓	✓	✓

6139	\[ {} y^{\prime \prime }-2 y^{\prime }+6 y = 0 \]	✓	✓	✓

6140	\[ {} y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

6141	\[ {} y^{\prime \prime }-5 y^{\prime }+6 y = 0 \]	✓	✓	✓

6142	\[ {} y^{\prime \prime }+5 y^{\prime } = 0 \]	✓	✓	✓

6143	\[ {} y^{\prime \prime }-4 y^{\prime }+13 y = 0 \]	✓	✓	✓

6144	\[ {} 2 y^{\prime \prime }+y^{\prime }-y = 0 \]	✓	✓	✓

6145	\[ {} y^{\prime \prime }+\left (1+2 i\right ) y^{\prime }+\left (-1+i\right ) y = 0 \]	✓	✓	✓

6146	\[ {} y^{\prime \prime }+\left (1+2 i\right ) y^{\prime }+\left (-1+i\right ) y = 0 \]	✓	✓	✓

6211	\[ {} r^{\prime \prime }-6 r^{\prime }+9 r = 0 \]	✓	✓	✓

6243	\[ {} y^{\prime \prime } = -4 y \]	✓	✓	✓

6245	\[ {} y^{\prime \prime } = y \]	✓	✓	✓

6247	\[ {} y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

6388	\[ {} x^{\prime \prime }-\omega ^{2} x = 0 \]	✓	✓	✓

4.25.3 Problems 201 to 300