Problems 701 to 800

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


#	ODE	Mathematica	Maple	Sympy

16157	\[ {} y^{\prime \prime }+100 y = 0 \]	✓	✓	✓

16158	\[ {} y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

16159	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓	✓

16160	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

16161	\[ {} y^{\prime \prime }+4 y^{\prime }+20 y = 0 \]	✓	✓	✓

16162	\[ {} y^{\prime \prime }+y^{\prime }-y = 0 \]	✓	✓	✓

16163	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

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

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

16166	\[ {} 6 y^{\prime \prime }+5 y^{\prime }+y = 0 \]	✓	✓	✓

16167	\[ {} 9 y^{\prime \prime }+6 y^{\prime }+y = 0 \]	✓	✓	✓

16168	\[ {} y^{\prime \prime }+4 y^{\prime }+20 y = 0 \]	✓	✓	✓

16171	\[ {} a y^{\prime \prime }+2 b y^{\prime }+c y = 0 \]	✓	✓	✓

16172	\[ {} y^{\prime \prime }+6 y^{\prime }+2 y = 0 \]	✓	✓	✓

16173	\[ {} y^{\prime \prime }-5 y^{\prime }+6 y = 0 \]	✓	✓	✓

16174	\[ {} y^{\prime \prime }-6 y^{\prime }-16 y = 0 \]	✓	✓	✓

16175	\[ {} y^{\prime \prime }-16 y = 0 \]	✓	✓	✓

16176	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

16179	\[ {} y^{\prime \prime }+4 y^{\prime }+3 y = 0 \]	✓	✓	✓

16487	\[ {} y^{\prime \prime }-7 y^{\prime }+10 y = 0 \]	✓	✓	✓

16488	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

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

16492	\[ {} y^{\prime \prime }+7 y^{\prime }+10 y = 0 \]	✓	✓	✓

16493	\[ {} 6 y^{\prime \prime }+5 y^{\prime }-4 y = 0 \]	✓	✓	✓

16494	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

16495	\[ {} y^{\prime \prime }+3 y^{\prime }+2 y = 0 \]	✓	✓	✓

16496	\[ {} y^{\prime \prime }-10 y^{\prime }+34 y = 0 \]	✓	✓	✓

16497	\[ {} 2 y^{\prime \prime }-5 y^{\prime }+2 y = 0 \]	✓	✓	✓

16498	\[ {} 15 y^{\prime \prime }-11 y^{\prime }+2 y = 0 \]	✓	✓	✓

16499	\[ {} 20 y^{\prime \prime }+y^{\prime }-y = 0 \]	✓	✓	✓

16500	\[ {} 12 y^{\prime \prime }+8 y^{\prime }+y = 0 \]	✓	✓	✓

16518	\[ {} y^{\prime \prime }+5 y^{\prime }+6 y = 0 \]	✓	✓	✓

16519	\[ {} y^{\prime \prime }+10 y^{\prime }+16 y = 0 \]	✓	✓	✓

16520	\[ {} y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

16521	\[ {} y^{\prime \prime }+25 y = 0 \]	✓	✓	✓

16533	\[ {} y^{\prime \prime }+3 y^{\prime }-4 y = 0 \]	✓	✓	✓

16534	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓	✓

16552	\[ {} 4 x^{\prime \prime }+9 x = 0 \]	✓	✓	✓

16553	\[ {} 9 x^{\prime \prime }+4 x = 0 \]	✓	✓	✓

16554	\[ {} x^{\prime \prime }+64 x = 0 \]	✓	✓	✓

16555	\[ {} x^{\prime \prime }+100 x = 0 \]	✓	✓	✓

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

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

16558	\[ {} x^{\prime \prime }+16 x = 0 \]	✓	✓	✓

16559	\[ {} x^{\prime \prime }+256 x = 0 \]	✓	✓	✓

16560	\[ {} x^{\prime \prime }+9 x = 0 \]	✓	✓	✓

16561	\[ {} 10 x^{\prime \prime }+\frac {x}{10} = 0 \]	✓	✓	✓

16562	\[ {} x^{\prime \prime }+4 x^{\prime }+3 x = 0 \]	✓	✓	✓

16563	\[ {} \frac {x^{\prime \prime }}{32}+2 x^{\prime }+x = 0 \]	✓	✓	✓

16564	\[ {} \frac {x^{\prime \prime }}{4}+2 x^{\prime }+x = 0 \]	✓	✓	✓

16565	\[ {} 4 x^{\prime \prime }+2 x^{\prime }+8 x = 0 \]	✓	✓	✓

16566	\[ {} x^{\prime \prime }+4 x^{\prime }+13 x = 0 \]	✓	✓	✓

16567	\[ {} x^{\prime \prime }+4 x^{\prime }+20 x = 0 \]	✓	✓	✓

16589	\[ {} x^{\prime \prime }-3 x^{\prime }+4 x = 0 \]	✓	✓	✓

16590	\[ {} x^{\prime \prime }+6 x^{\prime }+9 x = 0 \]	✓	✓	✓

16840	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

16881	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

16882	\[ {} 3 y^{\prime \prime }-2 y^{\prime }-8 y = 0 \]	✓	✓	✓

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

16885	\[ {} y^{\prime \prime }-4 y^{\prime }+3 y = 0 \]	✓	✓	✓

16887	\[ {} y^{\prime \prime }-2 y^{\prime }-2 y = 0 \]	✓	✓	✓

16889	\[ {} 4 y^{\prime \prime }-8 y^{\prime }+5 y = 0 \]	✓	✓	✓

16892	\[ {} y^{\prime \prime }-2 y^{\prime }+2 y = 0 \]	✓	✓	✓

16893	\[ {} y^{\prime \prime }-2 y^{\prime }+3 y = 0 \]	✓	✓	✓

17099	\[ {} x^{\prime \prime }+x^{\prime }+x = 0 \]	✓	✓	✓

17100	\[ {} x^{\prime \prime }+2 x^{\prime }+6 x = 0 \]	✓	✓	✓

17101	\[ {} x^{\prime \prime }+2 x^{\prime }+x = 0 \]	✓	✓	✓

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

17110	\[ {} y^{\prime \prime }+\lambda y = 0 \]	✓	✓	✓

17111	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

17112	\[ {} y^{\prime \prime }+y = 0 \]	✗	✗	✗

17114	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

17115	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

17116	\[ {} y^{\prime \prime }-2 y^{\prime }+2 y = 0 \]	✓	✓	✓

17117	\[ {} y^{\prime \prime }+\alpha y^{\prime } = 0 \]	✓	✓	✓

17120	\[ {} y^{\prime \prime }+\lambda ^{2} y = 0 \]	✓	✓	✓

17121	\[ {} y^{\prime \prime }+\lambda ^{2} y = 0 \]	✓	✓	✓

17217	\[ {} x^{\prime \prime } = 0 \]	✓	✓	✓

17220	\[ {} x^{\prime \prime }+x^{\prime } = 0 \]	✓	✓	✓

17221	\[ {} x^{\prime \prime }+x^{\prime } = 0 \]	✓	✓	✓

17481	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

17482	\[ {} y^{\prime \prime }+9 y = 0 \]	✓	✓	✓

17483	\[ {} y^{\prime \prime }+y^{\prime }+16 y = 0 \]	✓	✓	✓

17484	\[ {} y^{\prime \prime }+3 y^{\prime }+4 y = 0 \]	✓	✓	✓

17485	\[ {} y^{\prime \prime }-y^{\prime }+4 y = 0 \]	✓	✓	✓

17496	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

17497	\[ {} y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

17500	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

17501	\[ {} a y^{\prime \prime }+b y^{\prime }+c y = 0 \]	✓	✓	✓

17512	\[ {} y^{\prime \prime }+2 y^{\prime }-3 y = 0 \]	✓	✓	✓

17513	\[ {} y^{\prime \prime }+3 y^{\prime }+2 y = 0 \]	✓	✓	✓

17514	\[ {} y^{\prime \prime }-4 y^{\prime }+4 y = 0 \]	✓	✓	✓

17515	\[ {} 9 y^{\prime \prime }+6 y^{\prime }+y = 0 \]	✓	✓	✓

17516	\[ {} y^{\prime \prime }-2 y^{\prime }+2 y = 0 \]	✓	✓	✓

17517	\[ {} y^{\prime \prime }-2 y^{\prime }+6 y = 0 \]	✓	✓	✓

17518	\[ {} 4 y^{\prime \prime }-4 y^{\prime }+y = 0 \]	✓	✓	✓

17519	\[ {} 2 y^{\prime \prime }-3 y^{\prime }+y = 0 \]	✓	✓	✓

17520	\[ {} 6 y^{\prime \prime }-y^{\prime }-y = 0 \]	✓	✓	✓

17521	\[ {} 9 y^{\prime \prime }+12 y^{\prime }+4 y = 0 \]	✓	✓	✓

17522	\[ {} y^{\prime \prime }+2 y^{\prime }-8 y = 0 \]	✓	✓	✓

4.25.8 Problems 701 to 800