Problems 401 to 500

Table 4.1101: Second order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple	Sympy

8070	\[ {} y^{\prime \prime } = -3 y \]	✓	✓	✓

8177	\[ {} y^{\prime \prime }-5 y^{\prime }+4 y = 0 \]	✓	✓	✓

8219	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

8221	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

8223	\[ {} y^{\prime \prime }-y^{\prime } = 0 \]	✓	✓	✓

8225	\[ {} y^{\prime \prime }+2 y^{\prime } = 0 \]	✓	✓	✓

8307	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

8328	\[ {} y^{\prime \prime }+5 y^{\prime }+4 y = 0 \]	✓	✓	✓

8335	\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓	✓

8338	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

8342	\[ {} y^{\prime \prime }-6 y^{\prime }+13 y = 0 \]	✓	✓	✓

8343	\[ {} 2 y^{\prime \prime }+20 y^{\prime }+51 y = 0 \]	✓	✓	✓

8346	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

8347	\[ {} y^{\prime \prime }+8 y^{\prime }+20 y = 0 \]	✓	✓	✓

8377	\[ {} y^{\prime \prime }+2 y^{\prime }+10 y = 0 \]	✓	✓	✓

8500	\[ {} y^{\prime \prime }+\beta ^{2} y = 0 \]	✓	✓	✓

8752	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

8753	\[ {} 5 y^{\prime \prime }+2 y^{\prime }+4 y = 0 \]	✓	✓	✓

8766	\[ {} y^{\prime \prime } = 0 \]	✓	✓	✓

8773	\[ {} y y^{\prime \prime } = 0 \]	✓	✓	✓

8777	\[ {} y^{2} y^{\prime \prime } = 0 \]	✓	✓	✓

8782	\[ {} a y y^{\prime \prime }+b y = 0 \]	✓	✓	✓

8800	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

8801	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

8802	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

8859	\[ {} y^{\prime \prime }+c y^{\prime }+k y = 0 \]	✓	✓	✓

9072	\[ {} y^{\prime \prime } = 0 \]	✓	✓	✓

9073	\[ {} {y^{\prime \prime }}^{2} = 0 \]	✓	✓	✓

9074	\[ {} {y^{\prime \prime }}^{n} = 0 \]	✓	✓	✗

9075	\[ {} a y^{\prime \prime } = 0 \]	✓	✓	✓

9076	\[ {} a {y^{\prime \prime }}^{2} = 0 \]	✓	✓	✓

9077	\[ {} a {y^{\prime \prime }}^{n} = 0 \]	✓	✓	✗

9082	\[ {} {y^{\prime \prime }}^{3} = 0 \]	✓	✓	✓

9083	\[ {} y^{\prime \prime }+y^{\prime } = 0 \]	✓	✓	✓

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

9564	\[ {} y^{\prime \prime }-y^{\prime }+y = 0 \]	✓	✓	✓

9677	\[ {} y^{\prime \prime }+3 y^{\prime }+4 y = 0 \]	✓	✓	✓

9959	\[ {} u^{\prime \prime }+2 u^{\prime }+u = 0 \]	✓	✓	✓

9991	\[ {} y^{\prime \prime } = 0 \]	✓	✓	✓

10997	\[ {} y^{\prime \prime } = 0 \]	✓	✓	✓

10998	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

11002	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

11005	\[ {} y^{\prime \prime }+l y = 0 \]	✓	✓	✓

11026	\[ {} y^{\prime \prime }+a y^{\prime }+b y = 0 \]	✓	✓	✓

12422	\[ {} y^{\prime \prime }+a y = 0 \]	✓	✓	✓

12432	\[ {} y^{\prime \prime }+a y^{\prime }+b y = 0 \]	✓	✓	✓

12848	\[ {} y^{\prime \prime }-3 y^{\prime }+2 y = 0 \]	✓	✓	✓

12849	\[ {} y^{\prime \prime }-6 y^{\prime }+25 y = 0 \]	✓	✓	✓

12957	\[ {} x^{\prime \prime }+2 x^{\prime }+2 x = 0 \]	✓	✓	✓

12962	\[ {} 2 x^{\prime \prime }-5 x^{\prime }-3 x = 0 \]	✓	✓	✓

13041	\[ {} x^{\prime \prime }-4 x^{\prime }+4 x = 0 \]	✓	✓	✓

13042	\[ {} x^{\prime \prime }-2 x^{\prime } = 0 \]	✓	✓	✓

13043	\[ {} \frac {x^{\prime \prime }}{2}+x^{\prime }+\frac {x}{2} = 0 \]	✓	✓	✓

13044	\[ {} x^{\prime \prime }+4 x^{\prime }+3 x = 0 \]	✓	✓	✓

13045	\[ {} x^{\prime \prime }-4 x^{\prime }+4 x = 0 \]	✓	✓	✓

13046	\[ {} x^{\prime \prime }-2 x^{\prime } = 0 \]	✓	✓	✓

13047	\[ {} \frac {x^{\prime \prime }}{2}+x^{\prime }+\frac {x}{2} = 0 \]	✓	✓	✓

13048	\[ {} x^{\prime \prime }+4 x^{\prime }+3 x = 0 \]	✓	✓	✓

13049	\[ {} x^{\prime \prime }+x^{\prime }+4 x = 0 \]	✓	✓	✓

13050	\[ {} x^{\prime \prime }-4 x^{\prime }+6 x = 0 \]	✓	✓	✓

13051	\[ {} x^{\prime \prime }+9 x = 0 \]	✓	✓	✓

13052	\[ {} x^{\prime \prime }-12 x = 0 \]	✓	✓	✓

13053	\[ {} 2 x^{\prime \prime }+3 x^{\prime }+3 x = 0 \]	✓	✓	✓

13054	\[ {} \frac {x^{\prime \prime }}{2}+\frac {5 x^{\prime }}{6}+\frac {2 x}{9} = 0 \]	✓	✓	✓

13055	\[ {} x^{\prime \prime }+x^{\prime }+x = 0 \]	✓	✓	✓

13056	\[ {} x^{\prime \prime }+\frac {x^{\prime }}{8}+x = 0 \]	✓	✓	✓

13103	\[ {} x^{\prime \prime }-2 a x^{\prime }+a^{2} x = 0 \]	✓	✓	✓

13115	\[ {} x^{\prime \prime }-x^{\prime }-6 x = 0 \]	✓	✓	✓

13116	\[ {} x^{\prime \prime }-2 x^{\prime }+2 x = 0 \]	✓	✓	✓

13118	\[ {} x^{\prime \prime }-x^{\prime } = 0 \]	✓	✓	✓

13176	\[ {} y^{\prime \prime }-7 y^{\prime }+12 y = 0 \]	✓	✓	✓

13183	\[ {} y^{\prime \prime }-2 y^{\prime }-8 y = 0 \]	✓	✓	✓

13190	\[ {} y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓	✓

13193	\[ {} y^{\prime \prime }-y^{\prime }-12 y = 0 \]	✓	✓	✓

13194	\[ {} y^{\prime \prime }+y = 0 \]	✗	✗	✗

13195	\[ {} y^{\prime \prime }+y = 0 \]	✗	✗	✗

13196	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

13321	\[ {} y^{\prime \prime }-4 y^{\prime }+3 y = 0 \]	✓	✓	✓

13322	\[ {} y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

13325	\[ {} y^{\prime \prime }-5 y^{\prime }+4 y = 0 \]	✓	✓	✓

13336	\[ {} y^{\prime \prime }-5 y^{\prime }+6 y = 0 \]	✓	✓	✓

13337	\[ {} y^{\prime \prime }-2 y^{\prime }-3 y = 0 \]	✓	✓	✓

13338	\[ {} 4 y^{\prime \prime }-12 y^{\prime }+5 y = 0 \]	✓	✓	✓

13339	\[ {} 3 y^{\prime \prime }-14 y^{\prime }-5 y = 0 \]	✓	✓	✓

13342	\[ {} y^{\prime \prime }-8 y^{\prime }+16 y = 0 \]	✓	✓	✓

13343	\[ {} 4 y^{\prime \prime }+4 y^{\prime }+y = 0 \]	✓	✓	✓

13344	\[ {} y^{\prime \prime }-4 y^{\prime }+13 y = 0 \]	✓	✓	✓

13345	\[ {} y^{\prime \prime }+6 y^{\prime }+25 y = 0 \]	✓	✓	✓

13346	\[ {} y^{\prime \prime }+9 y = 0 \]	✓	✓	✓

13347	\[ {} 4 y^{\prime \prime }+y = 0 \]	✓	✓	✓

13360	\[ {} y^{\prime \prime }-y^{\prime }-12 y = 0 \]	✓	✓	✓

13361	\[ {} y^{\prime \prime }+7 y^{\prime }+10 y = 0 \]	✓	✓	✓

13362	\[ {} y^{\prime \prime }-6 y^{\prime }+8 y = 0 \]	✓	✓	✓

13363	\[ {} 3 y^{\prime \prime }+4 y^{\prime }-4 y = 0 \]	✓	✓	✓

13364	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

13365	\[ {} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0 \]	✓	✓	✓

13366	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓	✓

13367	\[ {} 9 y^{\prime \prime }-6 y^{\prime }+y = 0 \]	✓	✓	✓

13368	\[ {} y^{\prime \prime }-4 y^{\prime }+29 y = 0 \]	✓	✓	✓

13369	\[ {} y^{\prime \prime }+6 y^{\prime }+58 y = 0 \]	✓	✓	✓

4.25.5 Problems 401 to 500