Problems 301 to 400

Table 4.1099: Second order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple	Sympy

6390	\[ {} x^{\prime \prime }+42 x^{\prime }+x = 0 \]	✓	✓	✓

6504	\[ {} \frac {x^{\prime \prime }}{2} = -48 x \]	✓	✓	✓

6546	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

6551	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

6557	\[ {} x^{\prime \prime }+4 x^{\prime }+4 x = 0 \]	✓	✓	✓

6573	\[ {} y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

6575	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

6577	\[ {} y^{\prime \prime }-3 y^{\prime }+2 y = 0 \]	✓	✓	✓

6691	\[ {} y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓	✓

6701	\[ {} y^{\prime \prime }+2 y^{\prime }-15 y = 0 \]	✓	✓	✓

6703	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

6705	\[ {} y^{\prime \prime }-4 y^{\prime }+13 y = 0 \]	✓	✓	✓

6706	\[ {} y^{\prime \prime }+25 y = 0 \]	✓	✓	✓

6888	\[ {} y^{\prime \prime }-6 y^{\prime }+13 y = 0 \]	✓	✓	✓

6898	\[ {} y^{\prime \prime }-4 y^{\prime }+4 y = 0 \]	✓	✓	✓

6908	\[ {} y^{\prime \prime }-5 y^{\prime }+6 y = 0 \]	✓	✓	✓

6909	\[ {} 2 y^{\prime \prime }+7 y^{\prime }-4 y = 0 \]	✓	✓	✓

6939	\[ {} x^{\prime \prime }+x = 0 \]	✓	✓	✓

6940	\[ {} x^{\prime \prime }+x = 0 \]	✓	✓	✓

6941	\[ {} x^{\prime \prime }+x = 0 \]	✓	✓	✓

6942	\[ {} x^{\prime \prime }+x = 0 \]	✓	✓	✓

6943	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

6944	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

6945	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

6946	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

6971	\[ {} y^{\prime \prime }+4 y = 0 \]	✗	✗	✗

6972	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

6973	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

6974	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

6975	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

6976	\[ {} y^{\prime \prime }+4 y = 0 \]	✗	✗	✗

6988	\[ {} y^{\prime \prime } = y^{\prime } \]	✓	✓	✓

7349	\[ {} y^{\prime \prime }-y^{\prime }-6 y = 0 \]	✓	✓	✓

7351	\[ {} y^{\prime \prime }-\frac {y}{4} = 0 \]	✓	✓	✓

7354	\[ {} y^{\prime \prime }-4 y^{\prime }+4 y = 0 \]	✓	✓	✓

7358	\[ {} y^{\prime \prime }-2 y^{\prime }-3 y = 0 \]	✓	✓	✓

7362	\[ {} 9 y^{\prime \prime }-6 y^{\prime }+y = 0 \]	✓	✓	✓

7478	\[ {} y^{\prime \prime }+2 y^{\prime }-y = 0 \]	✓	✓	✓

7517	\[ {} y^{\prime \prime }-2 y^{\prime }-3 y = 0 \]	✓	✓	✓

7518	\[ {} s^{\prime \prime }+2 s^{\prime }+s = 0 \]	✓	✓	✓

7519	\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓	✓

7585	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

7586	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

7587	\[ {} y^{\prime \prime }+k^{2} y = 0 \]	✓	✓	✓

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

7613	\[ {} 3 y^{\prime \prime }+2 y = 0 \]	✓	✓	✓

7614	\[ {} y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

7615	\[ {} y^{\prime \prime } = 0 \]	✓	✓	✓

7616	\[ {} y^{\prime \prime }+2 i y^{\prime }+y = 0 \]	✓	✓	✓

7617	\[ {} y^{\prime \prime }-4 y^{\prime }+5 y = 0 \]	✓	✓	✓

7618	\[ {} y^{\prime \prime }+\left (-1+3 i\right ) y^{\prime }-3 i y = 0 \]	✓	✓	✓

7619	\[ {} y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓	✓

7620	\[ {} y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓	✓

7621	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

7622	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

7623	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

7624	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

7625	\[ {} y^{\prime \prime }-2 y^{\prime }-3 y = 0 \]	✓	✓	✓

7626	\[ {} y^{\prime \prime }+\left (1+4 i\right ) y^{\prime }+y = 0 \]	✓	✓	✓

7627	\[ {} y^{\prime \prime }+\left (-1+3 i\right ) y^{\prime }-3 i y = 0 \]	✓	✓	✓

7628	\[ {} y^{\prime \prime }+10 y = 0 \]	✓	✓	✓

7650	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

7651	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

7657	\[ {} y^{\prime \prime }-2 i y^{\prime }-y = 0 \]	✓	✓	✓

7762	\[ {} y^{\prime \prime }+k^{2} y = 0 \]	✓	✓	✓

7777	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

7778	\[ {} y^{\prime \prime }-4 y = 0 \]	✓	✓	✓

7804	\[ {} y^{\prime \prime }-5 y^{\prime }+4 y = 0 \]	✓	✓	✓

7907	\[ {} y^{\prime \prime }-k^{2} y = 0 \]	✓	✓	✓

7937	\[ {} y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓	✓

7938	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

7939	\[ {} y^{\prime \prime }+8 y = 0 \]	✓	✓	✓

7940	\[ {} 2 y^{\prime \prime }-4 y^{\prime }+4 y = 0 \]	✓	✓	✓

7941	\[ {} y^{\prime \prime }-4 y^{\prime }+4 y = 0 \]	✓	✓	✓

7942	\[ {} y^{\prime \prime }-9 y^{\prime }+20 y = 0 \]	✓	✓	✓

7943	\[ {} 2 y^{\prime \prime }+2 y^{\prime }+3 y = 0 \]	✓	✓	✓

7944	\[ {} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0 \]	✓	✓	✓

7945	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

7946	\[ {} y^{\prime \prime }-6 y^{\prime }+25 y = 0 \]	✓	✓	✓

7947	\[ {} 4 y^{\prime \prime }+20 y^{\prime }+25 y = 0 \]	✓	✓	✓

7948	\[ {} y^{\prime \prime }+2 y^{\prime }+3 y = 0 \]	✓	✓	✓

7949	\[ {} y^{\prime \prime } = 4 y \]	✓	✓	✓

7950	\[ {} 4 y^{\prime \prime }-8 y^{\prime }+7 y = 0 \]	✓	✓	✓

7951	\[ {} 2 y^{\prime \prime }+y^{\prime }-y = 0 \]	✓	✓	✓

7952	\[ {} y^{\prime \prime }+4 y^{\prime }+5 y = 0 \]	✓	✓	✓

7953	\[ {} y^{\prime \prime }+4 y^{\prime }+5 y = 0 \]	✓	✓	✓

7954	\[ {} y^{\prime \prime }+4 y^{\prime }-5 y = 0 \]	✓	✓	✓

7955	\[ {} y^{\prime \prime }-5 y^{\prime }+6 y = 0 \]	✓	✓	✓

7956	\[ {} y^{\prime \prime }-6 y^{\prime }+5 y = 0 \]	✓	✓	✓

7957	\[ {} y^{\prime \prime }-6 y^{\prime }+9 y = 0 \]	✓	✓	✓

7958	\[ {} y^{\prime \prime }+4 y^{\prime }+5 y = 0 \]	✓	✓	✓

7959	\[ {} y^{\prime \prime }+4 y^{\prime }+2 y = 0 \]	✓	✓	✓

7960	\[ {} y^{\prime \prime }+8 y^{\prime }-9 y = 0 \]	✓	✓	✓

8005	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

8006	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

8039	\[ {} y^{\prime \prime }-3 y^{\prime }+y = 0 \]	✓	✓	✓

8040	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

8041	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

8042	\[ {} y^{\prime \prime }-y^{\prime }+6 y = 0 \]	✓	✓	✓

8047	\[ {} y^{\prime \prime }+9 y = 0 \]	✓	✓	✓

4.25.4 Problems 301 to 400