Problems 501 to 600

Table 4.1473: Second order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple	Sympy

12304	\[ {} y^{\prime \prime }+l y = 0 \]	✓	✓	✓

12325	\[ {} b y+a y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

13774	\[ {} y^{\prime \prime }+a y = 0 \]	✓	✓	✓

13784	\[ {} b y+a y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

14200	\[ {} y^{\prime \prime }-3 y^{\prime }+2 y = 0 \]	✓	✓	✓

14201	\[ {} y^{\prime \prime }-6 y^{\prime }+25 y = 0 \]	✓	✓	✓

14309	\[ {} x^{\prime \prime }+2 x^{\prime }+2 x = 0 \]	✓	✓	✓

14314	\[ {} 2 x^{\prime \prime }-5 x^{\prime }-3 x = 0 \]	✓	✓	✓

14393	\[ {} x^{\prime \prime }-4 x^{\prime }+4 x = 0 \]	✓	✓	✓

14394	\[ {} x^{\prime \prime }-2 x^{\prime } = 0 \]	✓	✓	✓

14395	\[ {} \frac {x^{\prime \prime }}{2}+x^{\prime }+\frac {x}{2} = 0 \]	✓	✓	✓

14396	\[ {} x^{\prime \prime }+4 x^{\prime }+3 x = 0 \]	✓	✓	✓

14397	\[ {} x^{\prime \prime }-4 x^{\prime }+4 x = 0 \]	✓	✓	✓

14398	\[ {} x^{\prime \prime }-2 x^{\prime } = 0 \]	✓	✓	✓

14399	\[ {} \frac {x^{\prime \prime }}{2}+x^{\prime }+\frac {x}{2} = 0 \]	✓	✓	✓

14400	\[ {} x^{\prime \prime }+4 x^{\prime }+3 x = 0 \]	✓	✓	✓

14401	\[ {} x^{\prime \prime }+x^{\prime }+4 x = 0 \]	✓	✓	✓

14402	\[ {} x^{\prime \prime }-4 x^{\prime }+6 x = 0 \]	✓	✓	✓

14403	\[ {} x^{\prime \prime }+9 x = 0 \]	✓	✓	✓

14404	\[ {} x^{\prime \prime }-12 x = 0 \]	✓	✓	✓

14405	\[ {} 2 x^{\prime \prime }+3 x^{\prime }+3 x = 0 \]	✓	✓	✓

14406	\[ {} \frac {x^{\prime \prime }}{2}+\frac {5 x^{\prime }}{6}+\frac {2 x}{9} = 0 \]	✓	✓	✓

14407	\[ {} x^{\prime \prime }+x^{\prime }+x = 0 \]	✓	✓	✓

14408	\[ {} x^{\prime \prime }+\frac {x^{\prime }}{8}+x = 0 \]	✓	✓	✓

14455	\[ {} x^{\prime \prime }-2 a x^{\prime }+a^{2} x = 0 \]	✓	✓	✓

14467	\[ {} x^{\prime \prime }-x^{\prime }-6 x = 0 \]	✓	✓	✓

14468	\[ {} x^{\prime \prime }-2 x^{\prime }+2 x = 0 \]	✓	✓	✓

14470	\[ {} x^{\prime \prime }-x^{\prime } = 0 \]	✓	✓	✓

14528	\[ {} 12 y-7 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

14535	\[ {} y^{\prime \prime }-2 y^{\prime }-8 y = 0 \]	✓	✓	✓

14542	\[ {} y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓	✓

14545	\[ {} y^{\prime \prime }-y^{\prime }-12 y = 0 \]	✓	✓	✓

14546	\[ {} y^{\prime \prime }+y = 0 \]	✗	✗	✗

14547	\[ {} y^{\prime \prime }+y = 0 \]	✗	✗	✗

14548	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

14673	\[ {} y^{\prime \prime }-4 y^{\prime }+3 y = 0 \]	✓	✓	✓

14674	\[ {} y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

14677	\[ {} y^{\prime \prime }-5 y^{\prime }+4 y = 0 \]	✓	✓	✓

14688	\[ {} 6 y-5 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

14689	\[ {} y^{\prime \prime }-2 y^{\prime }-3 y = 0 \]	✓	✓	✓

14690	\[ {} 4 y^{\prime \prime }-12 y^{\prime }+5 y = 0 \]	✓	✓	✓

14691	\[ {} 3 y^{\prime \prime }-14 y^{\prime }-5 y = 0 \]	✓	✓	✓

14694	\[ {} y^{\prime \prime }-8 y^{\prime }+16 y = 0 \]	✓	✓	✓

14695	\[ {} 4 y^{\prime \prime }+4 y^{\prime }+y = 0 \]	✓	✓	✓

14696	\[ {} y^{\prime \prime }-4 y^{\prime }+13 y = 0 \]	✓	✓	✓

14697	\[ {} y^{\prime \prime }+6 y^{\prime }+25 y = 0 \]	✓	✓	✓

14698	\[ {} y^{\prime \prime }+9 y = 0 \]	✓	✓	✓

14699	\[ {} 4 y^{\prime \prime }+y = 0 \]	✓	✓	✓

14712	\[ {} y^{\prime \prime }-y^{\prime }-12 y = 0 \]	✓	✓	✓

14713	\[ {} y^{\prime \prime }+7 y^{\prime }+10 y = 0 \]	✓	✓	✓

14714	\[ {} y^{\prime \prime }-6 y^{\prime }+8 y = 0 \]	✓	✓	✓

14715	\[ {} 3 y^{\prime \prime }+4 y^{\prime }-4 y = 0 \]	✓	✓	✓

14716	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

14717	\[ {} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0 \]	✓	✓	✓

14718	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓	✓

14719	\[ {} 9 y^{\prime \prime }-6 y^{\prime }+y = 0 \]	✓	✓	✓

14720	\[ {} y^{\prime \prime }-4 y^{\prime }+29 y = 0 \]	✓	✓	✓

14721	\[ {} y^{\prime \prime }+6 y^{\prime }+58 y = 0 \]	✓	✓	✓

14722	\[ {} y^{\prime \prime }+6 y^{\prime }+13 y = 0 \]	✓	✓	✓

14723	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

14724	\[ {} 9 y^{\prime \prime }+6 y^{\prime }+5 y = 0 \]	✓	✓	✓

14725	\[ {} 4 y^{\prime \prime }+4 y^{\prime }+37 y = 0 \]	✓	✓	✓

14927	\[ {} y^{\prime \prime }-5 y^{\prime }+6 y = 0 \]	✓	✓	✓

14928	\[ {} y^{\prime \prime }+y^{\prime }-12 y = 0 \]	✓	✓	✓

14930	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

14959	\[ {} y^{\prime \prime }+\lambda y = 0 \]	✓	✓	✓

14960	\[ {} y^{\prime \prime }+\lambda y = 0 \]	✓	✓	✓

14961	\[ {} y^{\prime \prime }+\lambda y = 0 \]	✓	✓	✓

14962	\[ {} y^{\prime \prime }+\lambda y = 0 \]	✓	✓	✓

15031	\[ {} x^{\prime \prime }-3 x^{\prime }+2 x = 0 \]	✓	✓	✓

15032	\[ {} 4 y-4 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

15033	\[ {} z^{\prime \prime }-4 z^{\prime }+13 z = 0 \]	✓	✓	✓

15034	\[ {} y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓	✓

15035	\[ {} y^{\prime \prime }-4 y^{\prime } = 0 \]	✓	✓	✓

15036	\[ {} \theta ^{\prime \prime }+4 \theta = 0 \]	✓	✓	✓

15037	\[ {} y^{\prime \prime }+2 y^{\prime }+10 y = 0 \]	✓	✓	✓

15038	\[ {} 2 z^{\prime \prime }+7 z^{\prime }-4 z = 0 \]	✓	✓	✓

15039	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

15040	\[ {} x^{\prime \prime }+6 x^{\prime }+10 x = 0 \]	✓	✓	✓

15041	\[ {} 4 x^{\prime \prime }-20 x^{\prime }+21 x = 0 \]	✓	✓	✓

15042	\[ {} y^{\prime \prime }+y^{\prime }-2 y = 0 \]	✓	✓	✓

15043	\[ {} y^{\prime \prime }-4 y = 0 \]	✓	✓	✓

15044	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓	✓

15045	\[ {} y^{\prime \prime }+\omega ^{2} y = 0 \]	✓	✓	✓

15087	\[ {} a y^{\prime \prime }+\left (-a +b \right ) y^{\prime }+c y = 0 \]	✓	✓	✓

15261	\[ {} y^{\prime \prime }+4 y^{\prime }+y = 0 \]	✓	✓	✓

15263	\[ {} 2 y^{\prime \prime }-3 y^{\prime }-2 y = 0 \]	✓	✓	✓

15300	\[ {} y^{\prime \prime }+9 y = 0 \]	✓	✓	✓

15301	\[ {} 4 y^{\prime \prime }-4 y^{\prime }+5 y = 0 \]	✓	✓	✓

15302	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

15303	\[ {} y^{\prime \prime }-4 y^{\prime }+5 y = 0 \]	✓	✓	✓

15304	\[ {} y^{\prime \prime }-y^{\prime }-6 y = 0 \]	✓	✓	✓

15305	\[ {} 4 y^{\prime \prime }-4 y^{\prime }+37 y = 0 \]	✓	✓	✓

15306	\[ {} y^{\prime \prime }+3 y^{\prime }+2 y = 0 \]	✓	✓	✓

15307	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

15308	\[ {} 4 y^{\prime \prime }-12 y^{\prime }+13 y = 0 \]	✓	✓	✓

15309	\[ {} y^{\prime \prime }+4 y^{\prime }+13 y = 0 \]	✓	✓	✓

15310	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

15312	\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓	✓

15313	\[ {} y^{\prime \prime }-20 y^{\prime }+51 y = 0 \]	✓	✓	✓

4.25.6 Problems 501 to 600