Problems 301 to 400

Table 4.1469: Second order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple	Sympy

7060	\[ {} y^{\prime \prime }-2 k y^{\prime }-2 y = 0 \]	✓	✓	✓

7061	\[ {} y^{\prime \prime }+4 k y^{\prime }-12 k^{2} y = 0 \]	✓	✓	✓

7063	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓	✓

7066	\[ {} y^{\prime \prime }-2 a y^{\prime }+a^{2} y = 0 \]	✓	✓	✓

7072	\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓	✓

7073	\[ {} y^{\prime \prime }-y^{\prime }+y = 0 \]	✓	✓	✓

7075	\[ {} y^{\prime \prime }-4 y^{\prime }+20 y = 0 \]	✓	✓	✓

7080	\[ {} y^{\prime \prime } = 0 \]	✓	✓	✓

7081	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓	✓

7082	\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓	✓

7083	\[ {} y^{\prime \prime }-4 y^{\prime }+20 y = 0 \]	✓	✓	✓

7270	\[ {} y^{\prime \prime }+y^{\prime }-2 y = 0 \]	✓	✓	✓

7271	\[ {} 4 y-4 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

7272	\[ {} y^{\prime \prime }+9 y^{\prime } = 0 \]	✓	✓	✓

7273	\[ {} y^{\prime \prime }+2 y^{\prime }+2 y = 0 \]	✓	✓	✓

7274	\[ {} y^{\prime \prime }-2 y^{\prime }+6 y = 0 \]	✓	✓	✓

7275	\[ {} y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

7276	\[ {} 6 y-5 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

7277	\[ {} y^{\prime \prime }+5 y^{\prime } = 0 \]	✓	✓	✓

7278	\[ {} y^{\prime \prime }-4 y^{\prime }+13 y = 0 \]	✓	✓	✓

7279	\[ {} 2 y^{\prime \prime }+y^{\prime }-y = 0 \]	✓	✓	✓

7280	\[ {} y^{\prime \prime }+\left (1+2 i\right ) y^{\prime }+\left (-1+i\right ) y = 0 \]	✓	✓	✓

7281	\[ {} y^{\prime \prime }+\left (1+2 i\right ) y^{\prime }+\left (-1+i\right ) y = 0 \]	✓	✓	✓

7346	\[ {} r^{\prime \prime }-6 r^{\prime }+9 r = 0 \]	✓	✓	✓

7378	\[ {} y^{\prime \prime } = -4 y \]	✓	✓	✓

7380	\[ {} y^{\prime \prime } = y \]	✓	✓	✓

7382	\[ {} y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

7581	\[ {} m y^{\prime \prime }+k y = 0 \]	✓	✓	✓

7582	\[ {} m y^{\prime \prime }+b y^{\prime }+k y = 0 \]	✓	✓	✓

7583	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

7584	\[ {} 2 y^{\prime \prime }+18 y = 0 \]	✓	✓	✓

7585	\[ {} y^{\prime \prime }+6 y^{\prime }+12 y = 0 \]	✓	✓	✓

7593	\[ {} 2 y^{\prime \prime }+7 y^{\prime }-4 y = 0 \]	✓	✓	✓

7594	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

7595	\[ {} y^{\prime \prime }+5 y^{\prime }+6 y = 0 \]	✓	✓	✓

7596	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

7597	\[ {} y^{\prime \prime }+8 y^{\prime }+16 y = 0 \]	✓	✓	✓

7598	\[ {} y^{\prime \prime }-5 y^{\prime }+6 y = 0 \]	✓	✓	✓

7599	\[ {} 6 y^{\prime \prime }+y^{\prime }-2 y = 0 \]	✓	✓	✓

7600	\[ {} z^{\prime \prime }+z^{\prime }-z = 0 \]	✓	✓	✓

7601	\[ {} 4 y^{\prime \prime }-4 y^{\prime }+y = 0 \]	✓	✓	✓

7602	\[ {} y^{\prime \prime }-y^{\prime }-11 y = 0 \]	✓	✓	✓

7603	\[ {} 4 w^{\prime \prime }+20 w^{\prime }+25 w = 0 \]	✓	✓	✓

7604	\[ {} 3 y^{\prime \prime }+11 y^{\prime }-7 y = 0 \]	✓	✓	✓

7605	\[ {} y^{\prime \prime }+2 y^{\prime }-8 y = 0 \]	✓	✓	✓

7606	\[ {} y^{\prime \prime }+y^{\prime } = 0 \]	✓	✓	✓

7607	\[ {} y^{\prime \prime }-4 y^{\prime }+3 y = 0 \]	✓	✓	✓

7608	\[ {} y^{\prime \prime }-4 y^{\prime }-5 y = 0 \]	✓	✓	✓

7609	\[ {} y^{\prime \prime }-6 y^{\prime }+9 y = 0 \]	✓	✓	✓

7610	\[ {} z^{\prime \prime }-2 z^{\prime }-2 z = 0 \]	✓	✓	✓

7611	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

7612	\[ {} y^{\prime \prime }-4 y^{\prime }+4 y = 0 \]	✓	✓	✓

7617	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

7618	\[ {} y^{\prime \prime }+y = 0 \]	✗	✗	✗

7619	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

7630	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

7631	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

7676	\[ {} x^{\prime \prime }-\omega ^{2} x = 0 \]	✓	✓	✓

7678	\[ {} x^{\prime \prime }+42 x^{\prime }+x = 0 \]	✓	✓	✓

7791	\[ {} \frac {x^{\prime \prime }}{2} = -48 x \]	✓	✓	✓

7833	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

7838	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

7844	\[ {} x^{\prime \prime }+4 x^{\prime }+4 x = 0 \]	✓	✓	✓

7860	\[ {} y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

7862	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

7864	\[ {} y^{\prime \prime }-3 y^{\prime }+2 y = 0 \]	✓	✓	✓

7978	\[ {} y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓	✓

7988	\[ {} y^{\prime \prime }+2 y^{\prime }-15 y = 0 \]	✓	✓	✓

7990	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

7992	\[ {} y^{\prime \prime }-4 y^{\prime }+13 y = 0 \]	✓	✓	✓

7993	\[ {} y^{\prime \prime }+25 y = 0 \]	✓	✓	✓

8174	\[ {} y^{\prime \prime }-6 y^{\prime }+13 y = 0 \]	✓	✓	✓

8184	\[ {} 4 y-4 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

8194	\[ {} 6 y-5 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

8195	\[ {} 2 y^{\prime \prime }+7 y^{\prime }-4 y = 0 \]	✓	✓	✓

8225	\[ {} x^{\prime \prime }+x = 0 \]	✓	✓	✓

8226	\[ {} x^{\prime \prime }+x = 0 \]	✓	✓	✓

8227	\[ {} x^{\prime \prime }+x = 0 \]	✓	✓	✓

8228	\[ {} x^{\prime \prime }+x = 0 \]	✓	✓	✓

8229	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

8230	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

8231	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

8232	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

8257	\[ {} y^{\prime \prime }+4 y = 0 \]	✗	✗	✗

8258	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

8259	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

8260	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

8261	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

8262	\[ {} y^{\prime \prime }+4 y = 0 \]	✗	✗	✗

8274	\[ {} y^{\prime \prime } = y^{\prime } \]	✓	✓	✓

8635	\[ {} y^{\prime \prime }-y^{\prime }-6 y = 0 \]	✓	✓	✓

8637	\[ {} y^{\prime \prime }-\frac {y}{4} = 0 \]	✓	✓	✓

8640	\[ {} y^{\prime \prime }-4 y^{\prime }+4 y = 0 \]	✓	✓	✓

8644	\[ {} y^{\prime \prime }-2 y^{\prime }-3 y = 0 \]	✓	✓	✓

8648	\[ {} 9 y^{\prime \prime }-6 y^{\prime }+y = 0 \]	✓	✓	✓

8764	\[ {} y^{\prime \prime }+2 y^{\prime }-y = 0 \]	✓	✓	✓

8803	\[ {} y^{\prime \prime }-2 y^{\prime }-3 y = 0 \]	✓	✓	✓

8804	\[ {} s^{\prime \prime }+2 s^{\prime }+s = 0 \]	✓	✓	✓

8805	\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓	✓

8871	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

4.25.4 Problems 301 to 400