Problems 601 to 700

Table 4.1475: Second order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple	Sympy

15314	\[ {} 2 y^{\prime \prime }+3 y^{\prime }+y = 0 \]	✓	✓	✓

15315	\[ {} 3 y^{\prime \prime }+8 y^{\prime }-3 y = 0 \]	✓	✓	✓

15316	\[ {} 2 y^{\prime \prime }+20 y^{\prime }+51 y = 0 \]	✓	✓	✓

15317	\[ {} 4 y^{\prime \prime }+40 y^{\prime }+101 y = 0 \]	✓	✓	✓

15318	\[ {} y^{\prime \prime }+6 y^{\prime }+34 y = 0 \]	✓	✓	✓

15430	\[ {} y^{\prime \prime }+\alpha ^{2} y = 0 \]	✓	✓	✓

15431	\[ {} y^{\prime \prime }-\alpha ^{2} y = 0 \]	✓	✓	✓

15432	\[ {} y^{\prime \prime }+\beta y^{\prime }+\gamma y = 0 \]	✓	✓	✓

15515	\[ {} y^{\prime \prime } = a^{2} y \]	✓	✓	✓

15524	\[ {} y^{\prime \prime } = 9 y \]	✓	✓	✓

15525	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

15526	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

15527	\[ {} y^{\prime \prime }+12 y = 7 y^{\prime } \]	✓	✓	✓

15528	\[ {} 4 y-4 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

15529	\[ {} y^{\prime \prime }+2 y^{\prime }+10 y = 0 \]	✓	✓	✓

15530	\[ {} y^{\prime \prime }+3 y^{\prime }-2 y = 0 \]	✓	✓	✓

15531	\[ {} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0 \]	✓	✓	✓

15532	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

15554	\[ {} y^{\prime \prime }+2 h y^{\prime }+n^{2} y = 0 \]	✓	✓	✓

15600	\[ {} y^{\prime \prime }-3 y^{\prime }+2 y = 0 \]	✓	✓	✓

15610	\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = 0 \]	✓	✓	✓

15611	\[ {} y+2 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

15622	\[ {} y^{\prime \prime }-y^{\prime }-6 y = 0 \]	✓	✓	✓

15624	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

15627	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

15628	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

15629	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

15630	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

15773	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

15774	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

15777	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

15783	\[ {} 4 y^{\prime \prime }+4 y^{\prime }-3 y = 0 \]	✓	✓	✓

15793	\[ {} y^{\prime \prime }+\alpha y = 0 \]	✓	✓	✓

15809	\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓	✓

15826	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

16149	\[ {} y^{\prime \prime }-6 y^{\prime }-7 y = 0 \]	✓	✓	✓

16150	\[ {} y^{\prime \prime }-y^{\prime }-12 y = 0 \]	✓	✓	✓

16180	\[ {} y^{\prime \prime }+5 y^{\prime }+6 y = 0 \]	✓	✓	✓

16181	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

16182	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

16183	\[ {} y^{\prime \prime }+2 y = 0 \]	✓	✓	✓

16262	\[ {} y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

16264	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

16498	\[ {} y^{\prime \prime } = y^{\prime } \]	✓	✓	✓

16518	\[ {} y^{\prime \prime } = y^{\prime } \]	✓	✓	✓

16532	\[ {} y^{\prime \prime } = y^{\prime } \]	✓	✓	✓

16559	\[ {} 6 y-5 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

16560	\[ {} y^{\prime \prime }-10 y^{\prime }+25 y = 0 \]	✓	✓	✓

16567	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

16583	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

16584	\[ {} y^{\prime \prime }-4 y = 0 \]	✓	✓	✓

16585	\[ {} y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓	✓

16586	\[ {} 4 y-4 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

16596	\[ {} y^{\prime \prime }-4 y = 0 \]	✓	✓	✓

16597	\[ {} y^{\prime \prime }+2 y^{\prime }-3 y = 0 \]	✓	✓	✓

16598	\[ {} y^{\prime \prime }-10 y^{\prime }+9 y = 0 \]	✓	✓	✓

16599	\[ {} y^{\prime \prime }+5 y^{\prime } = 0 \]	✓	✓	✓

16602	\[ {} y^{\prime \prime }-7 y^{\prime }+10 y = 0 \]	✓	✓	✓

16603	\[ {} y^{\prime \prime }+2 y^{\prime }-24 y = 0 \]	✓	✓	✓

16604	\[ {} y^{\prime \prime }-25 y = 0 \]	✓	✓	✓

16605	\[ {} y^{\prime \prime }+3 y^{\prime } = 0 \]	✓	✓	✓

16606	\[ {} 4 y^{\prime \prime }-y = 0 \]	✓	✓	✓

16607	\[ {} 3 y^{\prime \prime }+7 y^{\prime }-6 y = 0 \]	✓	✓	✓

16608	\[ {} y^{\prime \prime }-8 y^{\prime }+15 y = 0 \]	✓	✓	✓

16609	\[ {} y^{\prime \prime }-8 y^{\prime }+15 y = 0 \]	✓	✓	✓

16610	\[ {} y^{\prime \prime }-8 y^{\prime }+15 y = 0 \]	✓	✓	✓

16611	\[ {} y^{\prime \prime }-9 y = 0 \]	✓	✓	✓

16612	\[ {} y^{\prime \prime }-9 y = 0 \]	✓	✓	✓

16613	\[ {} y^{\prime \prime }-9 y = 0 \]	✓	✓	✓

16614	\[ {} y^{\prime \prime }-10 y^{\prime }+25 y = 0 \]	✓	✓	✓

16615	\[ {} y+2 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

16616	\[ {} 4 y^{\prime \prime }-4 y^{\prime }+y = 0 \]	✓	✓	✓

16617	\[ {} 25 y^{\prime \prime }-10 y^{\prime }+y = 0 \]	✓	✓	✓

16618	\[ {} 16 y^{\prime \prime }-24 y^{\prime }+9 y = 0 \]	✓	✓	✓

16619	\[ {} 9 y^{\prime \prime }+12 y^{\prime }+4 y = 0 \]	✓	✓	✓

16620	\[ {} y^{\prime \prime }-8 y^{\prime }+16 y = 0 \]	✓	✓	✓

16621	\[ {} y^{\prime \prime }-8 y^{\prime }+16 y = 0 \]	✓	✓	✓

16622	\[ {} y^{\prime \prime }-8 y^{\prime }+16 y = 0 \]	✓	✓	✓

16623	\[ {} 4 y^{\prime \prime }+4 y^{\prime }+y = 0 \]	✓	✓	✓

16624	\[ {} 4 y^{\prime \prime }+4 y^{\prime }+y = 0 \]	✓	✓	✓

16625	\[ {} 4 y^{\prime \prime }+4 y^{\prime }+y = 0 \]	✓	✓	✓

16626	\[ {} y^{\prime \prime }+25 y = 0 \]	✓	✓	✓

16627	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

16628	\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓	✓

16629	\[ {} y^{\prime \prime }-4 y^{\prime }+29 y = 0 \]	✓	✓	✓

16630	\[ {} 9 y^{\prime \prime }+18 y^{\prime }+10 y = 0 \]	✓	✓	✓

16631	\[ {} 4 y^{\prime \prime }+y = 0 \]	✓	✓	✓

16632	\[ {} y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

16633	\[ {} y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

16634	\[ {} y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

16635	\[ {} y^{\prime \prime }-4 y^{\prime }+13 y = 0 \]	✓	✓	✓

16636	\[ {} y^{\prime \prime }-4 y^{\prime }+13 y = 0 \]	✓	✓	✓

16637	\[ {} y^{\prime \prime }-4 y^{\prime }+13 y = 0 \]	✓	✓	✓

16638	\[ {} y^{\prime \prime }-y^{\prime }+\left (\frac {1}{4}+4 \pi ^{2}\right ) y = 0 \]	✓	✓	✓

16639	\[ {} y^{\prime \prime }-y^{\prime }+\left (\frac {1}{4}+4 \pi ^{2}\right ) y = 0 \]	✓	✓	✓

16822	\[ {} y^{\prime \prime }+36 y = 0 \]	✓	✓	✓

16823	\[ {} y^{\prime \prime }-12 y^{\prime }+36 y = 0 \]	✓	✓	✓

16825	\[ {} y^{\prime \prime }-36 y = 0 \]	✓	✓	✓

16826	\[ {} y^{\prime \prime }-9 y^{\prime }+14 y = 0 \]	✓	✓	✓

16830	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

4.25.7 Problems 601 to 700