Problems 9501 to 9600

Table 6.191: Main lookup table sequentially arranged


#	ODE	Mathematica	Maple	Sympy

9501	\[ {} x y^{\prime \prime }+3 y^{\prime }+x^{3} y = 0 \]	✓	✓	✓

9502	\[ {} x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (x^{2}+2\right ) y = 0 \]	✓	✓	✓

9503	\[ {} 16 x^{2} y^{\prime \prime }+32 x y^{\prime }+\left (x^{4}-12\right ) y = 0 \]	✓	✓	✓

9504	\[ {} y^{\prime \prime }-x^{2} y^{\prime }+x y = 0 \]	✓	✓	✗

9505	\[ {} x y^{\prime \prime }-\left (x +2\right ) y^{\prime }+2 y = 0 \]	✓	✓	✗

9506	\[ {} y^{\prime \prime }+x y^{\prime }+2 y = 0 \]	✓	✓	✗

9507	\[ {} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0 \]	✓	✓	✗

9508	\[ {} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-2\right ) y = 0 \]	✓	✓	✗

9509	\[ {} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+30 y = 0 \]	✓	✓	✗

9510	\[ {} x y^{\prime \prime }+2 y^{\prime }+x y = 0 \]	✓	✓	✓

9511	\[ {} x y^{\prime \prime }+\left (2 x +1\right ) y^{\prime }+\left (1+x \right ) y = 0 \]	✓	✓	✗

9512	\[ {} 2 x \left (x -1\right ) y^{\prime \prime }-\left (1+x \right ) y^{\prime }+y = 0 \]	✓	✓	✗

9513	\[ {} x y^{\prime \prime }+2 y^{\prime }+4 x y = 0 \]	✓	✓	✓

9514	\[ {} x y^{\prime \prime }+\left (2-2 x \right ) y^{\prime }+\left (x -2\right ) y = 0 \]	✓	✓	✗

9515	\[ {} x^{2} y^{\prime \prime }+6 x y^{\prime }+\left (4 x^{2}+6\right ) y = 0 \]	✓	✓	✓

9516	\[ {} x y^{\prime \prime }+\left (1-2 x \right ) y^{\prime }+\left (x -1\right ) y = 0 \]	✓	✓	✗

9517	\[ {} x \left (1-x \right ) y^{\prime \prime }+\left (\frac {1}{2}+2 x \right ) y^{\prime }-2 y = 0 \]	✓	✓	✗

9518	\[ {} 4 \left (t^{2}-3 t +2\right ) y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

9519	\[ {} 2 \left (t^{2}-5 t +6\right ) y^{\prime \prime }+\left (2 t -3\right ) y^{\prime }-8 y = 0 \]	✓	✓	✓

9520	\[ {} 3 t \left (t +1\right ) y^{\prime \prime }+t y^{\prime }-y = 0 \]	✓	✓	✓

9521	\[ {} x^{2} y^{\prime \prime }+\frac {\left (x +\frac {3}{4}\right ) y}{4} = 0 \]	✓	✓	✓

9522	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\frac {\left (x^{2}-1\right ) y}{4} = 0 \]	✓	✓	✓

9523	\[ {} x y^{\prime \prime }+\left (1-2 x \right ) y^{\prime }+\left (x -1\right ) y = 0 \]	✓	✓	✗

9524	\[ {} x y^{\prime \prime }-\left (1+x \right ) y^{\prime }+y = 0 \]	✓	✓	✗

9525	\[ {} x y^{\prime \prime }+3 y^{\prime }+4 x^{3} y = 0 \]	✓	✓	✓

9526	\[ {} x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }+2 x \left (-x^{2}+1\right ) y^{\prime }-2 y = 0 \]	✓	✓	✗

9527	\[ {} 2 x y^{\prime \prime }+\left (x -2\right ) y^{\prime }-y = 0 \]	✓	✓	✗

9528	\[ {} x y^{\prime \prime }+2 y^{\prime }+x y = 0 \]	✓	✓	✓

9529	\[ {} y^{\prime \prime }+2 x^{2} y^{\prime }+\left (x^{4}+2 x -1\right ) y = 0 \]	✓	✓	✗

9530	\[ {} u^{\prime \prime }+\frac {u}{x^{2}} = 0 \]	✓	✓	✓

9531	\[ {} u^{\prime \prime }-\left (2 x +1\right ) u^{\prime }+\left (x^{2}+x -1\right ) u = 0 \]	✓	✓	✗

9532	\[ {} y^{\prime \prime }+2 y^{\prime }+\left (1+\frac {2}{\left (3 x +1\right )^{2}}\right ) y = 0 \]	✓	✓	✗

9533	\[ {} x^{2} y^{\prime \prime }-2 x y^{\prime }+\left (x^{2}+2\right ) y = 0 \]	✓	✓	✓

9534	\[ {} y^{\prime \prime }+\frac {2 y^{\prime }}{x}-\frac {2 y}{\left (1+x \right )^{2}} = 0 \]	✓	✓	✗

9535	\[ {} y^{\prime \prime }+\frac {y}{2 x^{4}} = 0 \]	✓	✓	✓

9536	\[ {} y^{\prime \prime }-x y^{\prime }-x y = 0 \]	✓	✓	✗

9537	\[ {} y^{\prime \prime }-x y^{\prime }-x y = 0 \]	✓	✓	✗

9538	\[ {} y^{\prime \prime }-x y^{\prime }-x y = 0 \]	✓	✓	✗

9539	\[ {} y^{\prime \prime }-x y^{\prime }-x y = 0 \]	✓	✓	✗

9540	\[ {} y^{\prime \prime }-x y^{\prime }-x y = 0 \]	✓	✓	✗

9541	\[ {} y^{\prime \prime }-x y^{\prime }-x y = 0 \]	✓	✓	✗

9542	\[ {} y^{\prime \prime }-x y^{\prime }-x y = 0 \]	✓	✓	✗

9543	\[ {} y^{\prime \prime }-x y^{\prime }-x y = 0 \]	✓	✓	✗

9544	\[ {} y^{\prime \prime }-x y^{\prime }-x y = 0 \]	✓	✓	✗

9545	\[ {} y^{\prime \prime }-x y^{\prime }-x y = 0 \]	✓	✓	✗

9546	\[ {} y^{\prime \prime }-x y^{\prime }-x y = 0 \]	✓	✓	✗

9547	\[ {} x y^{\prime \prime }+2 y^{\prime }+x y = 0 \]	✓	✓	✓

9548	\[ {} 2 x^{2} y^{\prime \prime }+3 x y^{\prime }-x y = 0 \]	✓	✓	✓

9549	\[ {} x^{2} y^{\prime \prime }+\left (3 x^{2}+2 x \right ) y^{\prime }-2 y = 0 \]	✓	✓	✓

9550	\[ {} 2 x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }+x \left (11 x^{2}+11 x +9\right ) y^{\prime }+\left (7 x^{2}+10 x +6\right ) y = 0 \]	✓	✓	✗

9551	\[ {} x y^{\prime \prime }+\left (1+x \right ) y^{\prime }+2 y = 0 \]	✓	✓	✗

9552	\[ {} x^{2} \left (x^{2}-2 x +1\right ) y^{\prime \prime }-x \left (x +3\right ) y^{\prime }+\left (x +4\right ) y = 0 \]	✓	✓	✗

9553	\[ {} 2 x^{2} \left (x +2\right ) y^{\prime \prime }+5 x^{2} y^{\prime }+\left (1+x \right ) y = 0 \]	✓	✓	✗

9554	\[ {} x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (x^{2}+2\right ) y = 0 \]	✓	✓	✓

9555	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]	✓	✓	✓

9556	\[ {} x^{2} y^{\prime \prime }-x y^{\prime }-\left (x^{2}+\frac {5}{4}\right ) y = 0 \]	✓	✓	✓

9557	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]	✓	✓	✓

9558	\[ {} x^{2} y^{\prime \prime }+3 x y^{\prime }+4 x^{4} y = 0 \]	✓	✓	✓

9559	\[ {} y^{\prime \prime } = \left (x^{2}+3\right ) y \]	✓	✓	✗

9560	\[ {} y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}+1\right ) y = 0 \]	✓	✓	✗

9561	\[ {} x^{3} y^{\prime \prime }+y^{\prime }-\frac {y}{x} = 0 \]	✓	✓	✗

9562	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]	✓	✓	✓

9563	\[ {} 4 x^{2} y^{\prime \prime }+\left (-8 x^{2}+4 x \right ) y^{\prime }+\left (4 x^{2}-4 x -1\right ) y = 0 \]	✓	✓	✗

9564	\[ {} y^{\prime \prime }-y^{\prime }+y = 0 \]	✓	✓	✓

9565	\[ {} \left (x^{2}-1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0 \]	✓	✓	✗

9566	\[ {} x^{2} y^{\prime \prime }-x \left (x +2\right ) y^{\prime }+\left (x +2\right ) y = 0 \]	✓	✓	✗

9567	\[ {} \left (1+x \right ) y^{\prime \prime }-\left (x +2\right ) y^{\prime }+y = 0 \]	✓	✓	✗

9568	\[ {} \left (-x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }-2 y = 0 \]	✓	✓	✗

9569	\[ {} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0 \]	✓	✓	✗

9570	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]	✓	✓	✓

9571	\[ {} \left (x^{2}-1\right ) y^{\prime \prime }-6 x y^{\prime }+12 y = 0 \]	✓	✓	✗

9572	\[ {} \left (x^{2}+3\right ) y^{\prime \prime }-7 x y^{\prime }+16 y = 0 \]	✓	✓	✗

9573	\[ {} \left (x^{2}-1\right ) y^{\prime \prime }+8 x y^{\prime }+12 y = 0 \]	✓	✓	✗

9574	\[ {} 3 y^{\prime \prime }+x y^{\prime }-4 y = 0 \]	✓	✓	✗

9575	\[ {} 5 y^{\prime \prime }-2 x y^{\prime }+10 y = 0 \]	✓	✓	✗

9576	\[ {} y^{\prime \prime }-x^{2} y^{\prime }-3 x y = 0 \]	✓	✓	✗

9577	\[ {} \left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }-2 y = 0 \]	✓	✓	✗

9578	\[ {} y^{\prime \prime }+x y^{\prime }-2 y = 0 \]	✓	✓	✗

9579	\[ {} \left (x^{2}-6 x +10\right ) y^{\prime \prime }-4 \left (x -3\right ) y^{\prime }+6 y = 0 \]	✓	✓	✗

9580	\[ {} \left (x^{2}+6 x \right ) y^{\prime \prime }+\left (3 x +9\right ) y^{\prime }-3 y = 0 \]	✓	✓	✗

9581	\[ {} t y^{\prime \prime }+\left (t^{2}-1\right ) y^{\prime }+t^{3} y = 0 \]	✓	✓	✓

9582	\[ {} t^{2} y^{\prime \prime }-t \left (t +2\right ) y^{\prime }+\left (t +2\right ) y = 0 \]	✓	✓	✓

9583	\[ {} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0 \]	✓	✓	✗

9584	\[ {} x^{2} y^{\prime \prime }-\left (x -\frac {3}{16}\right ) y = 0 \]	✓	✓	✓

9585	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]	✓	✓	✓

9586	\[ {} t^{2} y^{\prime \prime }-t \left (t +2\right ) y^{\prime }+\left (t +2\right ) y = 0 \]	✓	✓	✓

9587	\[ {} t y^{\prime \prime }-\left (t +1\right ) y^{\prime }+y = 0 \]	✓	✓	✓

9588	\[ {} \left (1-t \right ) y^{\prime \prime }+t y^{\prime }-y = 0 \]	✓	✓	✓

9589	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]	✓	✓	✓

9590	\[ {} t y^{\prime \prime }-\left (t +1\right ) y^{\prime }+y = 0 \]	✓	✓	✓

9591	\[ {} \left (1-t \right ) y^{\prime \prime }+t y^{\prime }-y = 0 \]	✓	✓	✓

9592	\[ {} y^{\prime \prime }+x y^{\prime }+2 y = 0 \]	✓	✓	✗

9593	\[ {} \left (x^{2}+1\right ) y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]	✓	✓	✗

9594	\[ {} \left (1-x \right ) y^{\prime \prime }+x y^{\prime }-y = 0 \]	✓	✓	✗

9595	\[ {} 2 y^{\prime \prime }+x y^{\prime }+3 y = 0 \]	✓	✓	✗

9596	\[ {} y^{\prime \prime }+x y^{\prime }+2 y = 0 \]	✓	✓	✗

9597	\[ {} \left (1-x \right ) y^{\prime \prime }+x y^{\prime }-y = 0 \]	✓	✓	✗

9598	\[ {} y^{\prime \prime }+x y^{\prime }+2 y = 0 \]	✓	✓	✗

9599	\[ {} \left (-x^{2}+4\right ) y^{\prime \prime }+x y^{\prime }+2 y = 0 \]	✓	✓	✗

9600	\[ {} 4 x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (-16 x^{2}+3\right ) y = 0 \]	✓	✓	✓

6.96 Problems 9501 to 9600