Problems 701 to 800

Table 4.1107: Second order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple	Sympy

16149	\[ {} y^{\prime \prime }+100 y = 0 \]	✓	✓	✓

16150	\[ {} y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

16151	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓	✓

16152	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

16153	\[ {} y^{\prime \prime }+4 y^{\prime }+20 y = 0 \]	✓	✓	✓

16154	\[ {} y^{\prime \prime }+y^{\prime }-y = 0 \]	✓	✓	✓

16155	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

16156	\[ {} y^{\prime \prime }-y^{\prime }+y = 0 \]	✓	✓	✓

16157	\[ {} y^{\prime \prime }-y^{\prime }-y = 0 \]	✓	✓	✓

16158	\[ {} 6 y^{\prime \prime }+5 y^{\prime }+y = 0 \]	✓	✓	✓

16159	\[ {} 9 y^{\prime \prime }+6 y^{\prime }+y = 0 \]	✓	✓	✓

16160	\[ {} y^{\prime \prime }+4 y^{\prime }+20 y = 0 \]	✓	✓	✓

16163	\[ {} a y^{\prime \prime }+2 b y^{\prime }+c y = 0 \]	✓	✓	✓

16164	\[ {} y^{\prime \prime }+6 y^{\prime }+2 y = 0 \]	✓	✓	✓

16165	\[ {} y^{\prime \prime }-5 y^{\prime }+6 y = 0 \]	✓	✓	✓

16166	\[ {} y^{\prime \prime }-6 y^{\prime }-16 y = 0 \]	✓	✓	✓

16167	\[ {} y^{\prime \prime }-16 y = 0 \]	✓	✓	✓

16168	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

16171	\[ {} y^{\prime \prime }+4 y^{\prime }+3 y = 0 \]	✓	✓	✓

16479	\[ {} y^{\prime \prime }-7 y^{\prime }+10 y = 0 \]	✓	✓	✓

16480	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

16481	\[ {} y^{\prime \prime }-2 y^{\prime }+2 y = 0 \]	✓	✓	✓

16484	\[ {} y^{\prime \prime }+7 y^{\prime }+10 y = 0 \]	✓	✓	✓

16485	\[ {} 6 y^{\prime \prime }+5 y^{\prime }-4 y = 0 \]	✓	✓	✓

16486	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

16487	\[ {} y^{\prime \prime }+3 y^{\prime }+2 y = 0 \]	✓	✓	✓

16488	\[ {} y^{\prime \prime }-10 y^{\prime }+34 y = 0 \]	✓	✓	✓

16489	\[ {} 2 y^{\prime \prime }-5 y^{\prime }+2 y = 0 \]	✓	✓	✓

16490	\[ {} 15 y^{\prime \prime }-11 y^{\prime }+2 y = 0 \]	✓	✓	✓

16491	\[ {} 20 y^{\prime \prime }+y^{\prime }-y = 0 \]	✓	✓	✓

16492	\[ {} 12 y^{\prime \prime }+8 y^{\prime }+y = 0 \]	✓	✓	✓

16510	\[ {} y^{\prime \prime }+5 y^{\prime }+6 y = 0 \]	✓	✓	✓

16511	\[ {} y^{\prime \prime }+10 y^{\prime }+16 y = 0 \]	✓	✓	✓

16512	\[ {} y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

16513	\[ {} y^{\prime \prime }+25 y = 0 \]	✓	✓	✓

16525	\[ {} y^{\prime \prime }+3 y^{\prime }-4 y = 0 \]	✓	✓	✓

16526	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓	✓

16544	\[ {} 4 x^{\prime \prime }+9 x = 0 \]	✓	✓	✓

16545	\[ {} 9 x^{\prime \prime }+4 x = 0 \]	✓	✓	✓

16546	\[ {} x^{\prime \prime }+64 x = 0 \]	✓	✓	✓

16547	\[ {} x^{\prime \prime }+100 x = 0 \]	✓	✓	✓

16548	\[ {} x^{\prime \prime }+x = 0 \]	✓	✓	✓

16549	\[ {} x^{\prime \prime }+4 x = 0 \]	✓	✓	✓

16550	\[ {} x^{\prime \prime }+16 x = 0 \]	✓	✓	✓

16551	\[ {} x^{\prime \prime }+256 x = 0 \]	✓	✓	✓

16552	\[ {} x^{\prime \prime }+9 x = 0 \]	✓	✓	✓

16553	\[ {} 10 x^{\prime \prime }+\frac {x}{10} = 0 \]	✓	✓	✓

16554	\[ {} x^{\prime \prime }+4 x^{\prime }+3 x = 0 \]	✓	✓	✓

16555	\[ {} \frac {x^{\prime \prime }}{32}+2 x^{\prime }+x = 0 \]	✓	✓	✓

16556	\[ {} \frac {x^{\prime \prime }}{4}+2 x^{\prime }+x = 0 \]	✓	✓	✓

16557	\[ {} 4 x^{\prime \prime }+2 x^{\prime }+8 x = 0 \]	✓	✓	✓

16558	\[ {} x^{\prime \prime }+4 x^{\prime }+13 x = 0 \]	✓	✓	✓

16559	\[ {} x^{\prime \prime }+4 x^{\prime }+20 x = 0 \]	✓	✓	✓

16581	\[ {} x^{\prime \prime }-3 x^{\prime }+4 x = 0 \]	✓	✓	✓

16582	\[ {} x^{\prime \prime }+6 x^{\prime }+9 x = 0 \]	✓	✓	✓

16832	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

16873	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

16874	\[ {} 3 y^{\prime \prime }-2 y^{\prime }-8 y = 0 \]	✓	✓	✓

16876	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

16877	\[ {} y^{\prime \prime }-4 y^{\prime }+3 y = 0 \]	✓	✓	✓

16879	\[ {} y^{\prime \prime }-2 y^{\prime }-2 y = 0 \]	✓	✓	✓

16881	\[ {} 4 y^{\prime \prime }-8 y^{\prime }+5 y = 0 \]	✓	✓	✓

16884	\[ {} y^{\prime \prime }-2 y^{\prime }+2 y = 0 \]	✓	✓	✓

16885	\[ {} y^{\prime \prime }-2 y^{\prime }+3 y = 0 \]	✓	✓	✓

17091	\[ {} x^{\prime \prime }+x^{\prime }+x = 0 \]	✓	✓	✓

17092	\[ {} x^{\prime \prime }+2 x^{\prime }+6 x = 0 \]	✓	✓	✓

17093	\[ {} x^{\prime \prime }+2 x^{\prime }+x = 0 \]	✓	✓	✓

17101	\[ {} y^{\prime \prime }+\lambda y = 0 \]	✓	✓	✓

17102	\[ {} y^{\prime \prime }+\lambda y = 0 \]	✓	✓	✓

17103	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

17104	\[ {} y^{\prime \prime }+y = 0 \]	✗	✗	✗

17106	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

17107	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

17108	\[ {} y^{\prime \prime }-2 y^{\prime }+2 y = 0 \]	✓	✓	✓

17109	\[ {} y^{\prime \prime }+\alpha y^{\prime } = 0 \]	✓	✓	✓

17112	\[ {} y^{\prime \prime }+\lambda ^{2} y = 0 \]	✓	✓	✓

17113	\[ {} y^{\prime \prime }+\lambda ^{2} y = 0 \]	✓	✓	✓

17209	\[ {} x^{\prime \prime } = 0 \]	✓	✓	✓

17212	\[ {} x^{\prime \prime }+x^{\prime } = 0 \]	✓	✓	✓

17213	\[ {} x^{\prime \prime }+x^{\prime } = 0 \]	✓	✓	✓

17473	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

17474	\[ {} y^{\prime \prime }+9 y = 0 \]	✓	✓	✓

17475	\[ {} y^{\prime \prime }+y^{\prime }+16 y = 0 \]	✓	✓	✓

17476	\[ {} y^{\prime \prime }+3 y^{\prime }+4 y = 0 \]	✓	✓	✓

17477	\[ {} y^{\prime \prime }-y^{\prime }+4 y = 0 \]	✓	✓	✓

17488	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

17489	\[ {} y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

17492	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

17493	\[ {} a y^{\prime \prime }+b y^{\prime }+c y = 0 \]	✓	✓	✓

17504	\[ {} y^{\prime \prime }+2 y^{\prime }-3 y = 0 \]	✓	✓	✓

17505	\[ {} y^{\prime \prime }+3 y^{\prime }+2 y = 0 \]	✓	✓	✓

17506	\[ {} y^{\prime \prime }-4 y^{\prime }+4 y = 0 \]	✓	✓	✓

17507	\[ {} 9 y^{\prime \prime }+6 y^{\prime }+y = 0 \]	✓	✓	✓

17508	\[ {} y^{\prime \prime }-2 y^{\prime }+2 y = 0 \]	✓	✓	✓

17509	\[ {} y^{\prime \prime }-2 y^{\prime }+6 y = 0 \]	✓	✓	✓

17510	\[ {} 4 y^{\prime \prime }-4 y^{\prime }+y = 0 \]	✓	✓	✓

17511	\[ {} 2 y^{\prime \prime }-3 y^{\prime }+y = 0 \]	✓	✓	✓

17512	\[ {} 6 y^{\prime \prime }-y^{\prime }-y = 0 \]	✓	✓	✓

17513	\[ {} 9 y^{\prime \prime }+12 y^{\prime }+4 y = 0 \]	✓	✓	✓

17514	\[ {} y^{\prime \prime }+2 y^{\prime }-8 y = 0 \]	✓	✓	✓

4.25.8 Problems 701 to 800