Problems 901 to 1000

Table 4.1481: Second order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple	Sympy

19015	\[ {} y^{\prime \prime }-2 y^{\prime }+4 y = 0 \]	✓	✓	✓

19291	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

19293	\[ {} y^{\prime \prime }+p_{1} y^{\prime }+p_{2} y = 0 \]	✓	✓	✓

19300	\[ {} 2 y^{\prime \prime }+y^{\prime }-y = 0 \]	✓	✓	✓

19346	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

19347	\[ {} y^{\prime \prime }-4 y = 0 \]	✓	✓	✓

19387	\[ {} 6 y-5 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

19475	\[ {} y^{\prime \prime }-k y = 0 \]	✓	✓	✓

19548	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

19550	\[ {} y^{\prime \prime }-3 y^{\prime }+2 y = 0 \]	✓	✓	✓

19551	\[ {} 4 y-4 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

19553	\[ {} y^{\prime \prime }+y^{\prime }-2 y = 0 \]	✓	✓	✓

19554	\[ {} y^{\prime \prime }+5 y^{\prime }+6 y = 0 \]	✓	✓	✓

19555	\[ {} y^{\prime \prime }+y^{\prime } = 0 \]	✓	✓	✓

19558	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

19559	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

19574	\[ {} y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓	✓

19575	\[ {} y+2 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

19576	\[ {} y^{\prime \prime }+8 y = 0 \]	✓	✓	✓

19577	\[ {} 2 y^{\prime \prime }-4 y^{\prime }+8 y = 0 \]	✓	✓	✓

19578	\[ {} 4 y-4 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

19579	\[ {} 20 y-9 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

19580	\[ {} 2 y^{\prime \prime }+2 y^{\prime }+3 y = 0 \]	✓	✓	✓

19581	\[ {} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0 \]	✓	✓	✓

19582	\[ {} y^{\prime \prime }+y^{\prime } = 0 \]	✓	✓	✓

19583	\[ {} y^{\prime \prime }-6 y^{\prime }+25 y = 0 \]	✓	✓	✓

19584	\[ {} 4 y^{\prime \prime }+20 y^{\prime }+25 y = 0 \]	✓	✓	✓

19585	\[ {} 3 y+2 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

19586	\[ {} y^{\prime \prime } = 4 y \]	✓	✓	✓

19587	\[ {} 4 y^{\prime \prime }-8 y^{\prime }+7 y = 0 \]	✓	✓	✓

19588	\[ {} 2 y^{\prime \prime }+y^{\prime }-y = 0 \]	✓	✓	✓

19589	\[ {} 16 y^{\prime \prime }-8 y^{\prime }+y = 0 \]	✓	✓	✓

19590	\[ {} 5 y+4 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

19591	\[ {} y^{\prime \prime }+4 y^{\prime }-5 y = 0 \]	✓	✓	✓

19592	\[ {} 6 y-5 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

19593	\[ {} y^{\prime \prime }-6 y^{\prime }+5 y = 0 \]	✓	✓	✓

19594	\[ {} y^{\prime \prime }-6 y^{\prime }+9 y = 0 \]	✓	✓	✓

19595	\[ {} 5 y+4 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

19596	\[ {} y^{\prime \prime }+4 y^{\prime }+2 y = 0 \]	✓	✓	✓

19597	\[ {} y^{\prime \prime }+8 y^{\prime }-9 y = 0 \]	✓	✓	✓

19739	\[ {} 4 y-4 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

19743	\[ {} y^{\prime \prime }-2 a y^{\prime }+a^{2} y = 0 \]	✓	✓	✓

19803	\[ {} x^{\prime \prime }-5 x^{\prime }+6 x = 0 \]	✓	✓	✓

19804	\[ {} x^{\prime \prime }-4 x^{\prime }+4 x = 0 \]	✓	✓	✓

19805	\[ {} x^{\prime \prime }-4 x^{\prime }+5 x = 0 \]	✓	✓	✓

19806	\[ {} x^{\prime \prime }+3 x^{\prime } = 0 \]	✓	✓	✓

19807	\[ {} x^{\prime \prime }-3 x^{\prime }+2 x = 0 \]	✓	✓	✓

19808	\[ {} x^{\prime \prime }+x = 0 \]	✓	✓	✓

19809	\[ {} x^{\prime \prime }+2 x^{\prime }+x = 0 \]	✓	✓	✓

19810	\[ {} x^{\prime \prime }-2 x^{\prime }+2 x = 0 \]	✓	✓	✓

19851	\[ {} \theta ^{\prime \prime } = -p^{2} \theta \]	✓	✓	✓

19866	\[ {} \theta ^{\prime \prime }-p^{2} \theta = 0 \]	✓	✓	✓

19867	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

19868	\[ {} y^{\prime \prime }+12 y = 7 y^{\prime } \]	✓	✓	✓

19869	\[ {} r^{\prime \prime }-a^{2} r = 0 \]	✓	✓	✓

19885	\[ {} y^{\prime \prime } = -m^{2} y \]	✓	✓	✓

19940	\[ {} y^{\prime \prime }+3 y^{\prime }+2 y = 0 \]	✓	✓	✓

19941	\[ {} y^{\prime \prime }+2 y^{\prime }-2 y = 0 \]	✓	✓	✓

19968	\[ {} e y^{\prime \prime } = P \left (a -y\right ) \]	✓	✓	✓

19985	\[ {} y^{\prime \prime } = -a^{2} y \]	✓	✓	✓

20011	\[ {} y^{\prime \prime }-k^{2} y = 0 \]	✓	✓	✓

20152	\[ {} y^{\prime \prime }+3 y^{\prime }-54 y = 0 \]	✓	✓	✓

20153	\[ {} y^{\prime \prime }-m^{2} y = 0 \]	✓	✓	✓

20154	\[ {} 2 y^{\prime \prime }+5 y^{\prime }-12 y = 0 \]	✓	✓	✓

20155	\[ {} 9 y^{\prime \prime }+18 y^{\prime }-16 y = 0 \]	✓	✓	✓

20158	\[ {} y^{\prime \prime }+8 y^{\prime }+25 y = 0 \]	✓	✓	✓

20242	\[ {} y^{\prime \prime }+a^{2} y = 0 \]	✓	✓	✓

20284	\[ {} a y^{\prime \prime } = y^{\prime } \]	✓	✓	✓

20444	\[ {} y^{\prime \prime }-n^{2} y = 0 \]	✓	✓	✓

20446	\[ {} 2 x^{\prime \prime }+5 x^{\prime }-12 x = 0 \]	✓	✓	✓

20447	\[ {} y^{\prime \prime }+3 y^{\prime }-54 y = 0 \]	✓	✓	✓

20448	\[ {} 9 x^{\prime \prime }+18 x^{\prime }-16 x = 0 \]	✓	✓	✓

20450	\[ {} y+2 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

20659	\[ {} y^{\prime \prime } = y \]	✓	✓	✓

20661	\[ {} -a^{2} y+y^{\prime \prime } = 0 \]	✓	✓	✓

20685	\[ {} a y^{\prime \prime } = y^{\prime } \]	✓	✓	✓

20706	\[ {} y^{\prime \prime }+a^{2} y = 0 \]	✓	✓	✓

20813	\[ {} 2 y^{\prime \prime }+9 y^{\prime }-18 y = 0 \]	✓	✓	✓

20953	\[ {} 20 y-9 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

20954	\[ {} y^{\prime \prime }-3 y^{\prime }+4 y = 0 \]	✓	✓	✓

20955	\[ {} 8 y^{\prime \prime }+4 y^{\prime }+y = 0 \]	✓	✓	✓

20956	\[ {} x^{\prime \prime }-x^{\prime }-6 x = 0 \]	✓	✓	✓

20961	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

21029	\[ {} y^{\prime \prime }-5 y^{\prime }+6 y = 0 \]	✓	✓	✓

21030	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

21220	\[ {} x^{\prime \prime }+x = 0 \]	✓	✓	✓

21221	\[ {} x^{\prime \prime }+4 x = 0 \]	✓	✓	✓

21224	\[ {} 2 x^{\prime \prime }+x^{\prime }-x = 0 \]	✓	✓	✓

21225	\[ {} x^{\prime \prime }+2 x^{\prime }+2 x = 0 \]	✓	✓	✓

21226	\[ {} x^{\prime \prime }+8 x^{\prime }+16 x = 0 \]	✓	✓	✓

21227	\[ {} x^{\prime \prime }+2 x^{\prime }-15 x = 0 \]	✓	✓	✓

21228	\[ {} x^{\prime \prime }-3 x^{\prime }+2 x = 0 \]	✓	✓	✓

21229	\[ {} 4 x^{\prime }+2 x^{\prime \prime } = -5 x \]	✓	✓	✓

21230	\[ {} x^{\prime \prime }-6 x^{\prime }+9 x = 0 \]	✓	✓	✓

21231	\[ {} x^{\prime \prime }+x^{\prime }-\beta x = 0 \]	✓	✓	✓

21232	\[ {} x^{\prime \prime }+4 x^{\prime }+k x = 0 \]	✓	✓	✓

21233	\[ {} x^{\prime \prime }+b x^{\prime }+c x = 0 \]	✓	✓	✓

21234	\[ {} x^{\prime \prime }+5 x^{\prime }+6 x = 0 \]	✓	✓	✓

21235	\[ {} x^{\prime \prime }+p x^{\prime } = 0 \]	✓	✓	✓

21236	\[ {} x^{\prime \prime }+x^{\prime }-2 x = 0 \]	✓	✓	✓

4.25.10 Problems 901 to 1000