Problems 501 to 600

Table 5.1109: Second order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple

13441	\[ {}y^{\prime \prime }+6 y^{\prime }+13 y = 0 \]	✓	✓

13442	\[ {}y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓

13443	\[ {}9 y^{\prime \prime }+6 y^{\prime }+5 y = 0 \]	✓	✓

13444	\[ {}4 y^{\prime \prime }+4 y^{\prime }+37 y = 0 \]	✓	✓

13646	\[ {}y^{\prime \prime }-5 y^{\prime }+6 y = 0 \]	✓	✓

13647	\[ {}y^{\prime \prime }+y^{\prime }-12 y = 0 \]	✓	✓

13649	\[ {}y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓

13678	\[ {}y^{\prime \prime }+\lambda y = 0 \]	✓	✓

13679	\[ {}y^{\prime \prime }+\lambda y = 0 \]	✓	✓

13680	\[ {}y^{\prime \prime }+\lambda y = 0 \]	✓	✓

13681	\[ {}y^{\prime \prime }+\lambda y = 0 \]	✓	✓

13750	\[ {}x^{\prime \prime }-3 x^{\prime }+2 x = 0 \]	✓	✓

13751	\[ {}y^{\prime \prime }-4 y^{\prime }+4 y = 0 \]	✓	✓

13752	\[ {}z^{\prime \prime }-4 z^{\prime }+13 z = 0 \]	✓	✓

13753	\[ {}y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓

13754	\[ {}y^{\prime \prime }-4 y^{\prime } = 0 \]	✓	✓

13755	\[ {}\theta ^{\prime \prime }+4 \theta = 0 \]	✓	✓

13756	\[ {}y^{\prime \prime }+2 y^{\prime }+10 y = 0 \]	✓	✓

13757	\[ {}2 z^{\prime \prime }+7 z^{\prime }-4 z = 0 \]	✓	✓

13758	\[ {}y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓

13759	\[ {}x^{\prime \prime }+6 x^{\prime }+10 x = 0 \]	✓	✓

13760	\[ {}4 x^{\prime \prime }-20 x^{\prime }+21 x = 0 \]	✓	✓

13761	\[ {}y^{\prime \prime }+y^{\prime }-2 y = 0 \]	✓	✓

13762	\[ {}y^{\prime \prime }-4 y = 0 \]	✓	✓

13763	\[ {}y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓

13764	\[ {}y^{\prime \prime }+\omega ^{2} y = 0 \]	✓	✓

13806	\[ {}a y^{\prime \prime }+\left (b -a \right ) y^{\prime }+c y = 0 \]	✓	✓

13980	\[ {}y^{\prime \prime }+4 y^{\prime }+y = 0 \]	✓	✓

13982	\[ {}2 y^{\prime \prime }-3 y^{\prime }-2 y = 0 \]	✓	✓

14019	\[ {}y^{\prime \prime }+9 y = 0 \]	✓	✓

14020	\[ {}4 y^{\prime \prime }-4 y^{\prime }+5 y = 0 \]	✓	✓

14021	\[ {}y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓

14022	\[ {}y^{\prime \prime }-4 y^{\prime }+5 y = 0 \]	✓	✓

14023	\[ {}y^{\prime \prime }-y^{\prime }-6 y = 0 \]	✓	✓

14024	\[ {}4 y^{\prime \prime }-4 y^{\prime }+37 y = 0 \]	✓	✓

14025	\[ {}y^{\prime \prime }+3 y^{\prime }+2 y = 0 \]	✓	✓

14026	\[ {}y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓

14027	\[ {}4 y^{\prime \prime }-12 y^{\prime }+13 y = 0 \]	✓	✓

14028	\[ {}y^{\prime \prime }+4 y^{\prime }+13 y = 0 \]	✓	✓

14029	\[ {}y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓

14031	\[ {}y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓

14032	\[ {}y^{\prime \prime }-20 y^{\prime }+51 y = 0 \]	✓	✓

14033	\[ {}2 y^{\prime \prime }+3 y^{\prime }+y = 0 \]	✓	✓

14034	\[ {}3 y^{\prime \prime }+8 y^{\prime }-3 y = 0 \]	✓	✓

14035	\[ {}2 y^{\prime \prime }+20 y^{\prime }+51 y = 0 \]	✓	✓

14036	\[ {}4 y^{\prime \prime }+40 y^{\prime }+101 y = 0 \]	✓	✓

14037	\[ {}y^{\prime \prime }+6 y^{\prime }+34 y = 0 \]	✓	✓

14149	\[ {}y^{\prime \prime }+\alpha ^{2} y = 0 \]	✓	✓

14150	\[ {}y^{\prime \prime }-\alpha ^{2} y = 0 \]	✓	✓

14151	\[ {}y^{\prime \prime }+\beta y^{\prime }+\gamma y = 0 \]	✓	✓

14228	\[ {}y^{\prime \prime } = a^{2} y \]	✓	✓

14237	\[ {}y^{\prime \prime } = 9 y \]	✓	✓

14238	\[ {}y^{\prime \prime }+y = 0 \]	✓	✓

14239	\[ {}y^{\prime \prime }-y = 0 \]	✓	✓

14240	\[ {}y^{\prime \prime }+12 y = 7 y^{\prime } \]	✓	✓

14241	\[ {}y^{\prime \prime }-4 y^{\prime }+4 y = 0 \]	✓	✓

14242	\[ {}y^{\prime \prime }+2 y^{\prime }+10 y = 0 \]	✓	✓

14243	\[ {}y^{\prime \prime }+3 y^{\prime }-2 y = 0 \]	✓	✓

14244	\[ {}4 y^{\prime \prime }-12 y^{\prime }+9 y = 0 \]	✓	✓

14245	\[ {}y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓

14267	\[ {}y^{\prime \prime }+2 h y^{\prime }+n^{2} y = 0 \]	✓	✓

14313	\[ {}y^{\prime \prime }-3 y^{\prime }+2 y = 0 \]	✓	✓

14323	\[ {}y^{\prime \prime }-3 y^{\prime }-10 y = 0 \]	✓	✓

14324	\[ {}y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓

14335	\[ {}y^{\prime \prime }-y^{\prime }-6 y = 0 \]	✓	✓

14337	\[ {}y^{\prime \prime }-y = 0 \]	✓	✓

14340	\[ {}y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓

14341	\[ {}y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓

14342	\[ {}y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓

14343	\[ {}y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓

14486	\[ {}y^{\prime \prime }-y = 0 \]	✓	✓

14487	\[ {}y^{\prime \prime }+y = 0 \]	✓	✓

14490	\[ {}y^{\prime \prime }-y = 0 \]	✓	✓

14496	\[ {}4 y^{\prime \prime }+4 y^{\prime }-3 y = 0 \]	✓	✓

14506	\[ {}y^{\prime \prime }+\alpha y = 0 \]	✓	✓

14522	\[ {}y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓

14539	\[ {}y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓

14862	\[ {}y^{\prime \prime }-6 y^{\prime }-7 y = 0 \]	✓	✓

14863	\[ {}y^{\prime \prime }-y^{\prime }-12 y = 0 \]	✓	✓

14893	\[ {}y^{\prime \prime }+5 y^{\prime }+6 y = 0 \]	✓	✓

14894	\[ {}y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓

14895	\[ {}y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓

14896	\[ {}y^{\prime \prime }+2 y = 0 \]	✓	✓

14975	\[ {}y^{\prime \prime }+16 y = 0 \]	✓	✓

14977	\[ {}y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓

15211	\[ {}y^{\prime \prime } = y^{\prime } \]	✓	✓

15231	\[ {}y^{\prime \prime } = y^{\prime } \]	✓	✓

15245	\[ {}y^{\prime \prime } = y^{\prime } \]	✓	✓

15272	\[ {}y^{\prime \prime }-5 y^{\prime }+6 y = 0 \]	✓	✓

15273	\[ {}y^{\prime \prime }-10 y^{\prime }+25 y = 0 \]	✓	✓

15280	\[ {}y^{\prime \prime }+y = 0 \]	✓	✓

15296	\[ {}y^{\prime \prime }+4 y = 0 \]	✓	✓

15297	\[ {}y^{\prime \prime }-4 y = 0 \]	✓	✓

15298	\[ {}y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓

15299	\[ {}y^{\prime \prime }-4 y^{\prime }+4 y = 0 \]	✓	✓

15309	\[ {}y^{\prime \prime }-4 y = 0 \]	✓	✓

15310	\[ {}y^{\prime \prime }+2 y^{\prime }-3 y = 0 \]	✓	✓

15311	\[ {}y^{\prime \prime }-10 y^{\prime }+9 y = 0 \]	✓	✓

15312	\[ {}y^{\prime \prime }+5 y^{\prime } = 0 \]	✓	✓

15315	\[ {}y^{\prime \prime }-7 y^{\prime }+10 y = 0 \]	✓	✓

5.25.6 Problems 501 to 600