Problems 2001 to 2100

Table 5.75: Problems not solved by Sympy


#	ODE	Mathematica	Maple	Sympy

9476	\[ {} x y^{\prime \prime }+\left (4 x^{2}+1\right ) y^{\prime }+4 x \left (x^{2}+1\right ) y = 0 \]	✓	✓	✗

9477	\[ {} y^{\prime \prime }-2 x y^{\prime }+8 y = 0 \]	✓	✓	✗

9478	\[ {} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+12 y = 0 \]	✓	✓	✗

9479	\[ {} x \left (x +2\right ) y^{\prime \prime }+2 \left (1+x \right ) y^{\prime }-2 y = 0 \]	✓	✓	✗

9480	\[ {} x \left (x +2\right ) y^{\prime \prime }+\left (1+x \right ) y^{\prime }-4 y = 0 \]	✓	✓	✗

9481	\[ {} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0 \]	✓	✓	✗

9482	\[ {} \left (x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0 \]	✓	✓	✗

9483	\[ {} \left (x^{2}-2 x +10\right ) y^{\prime \prime }+x y^{\prime }-4 y = 0 \]	✓	✓	✗

9484	\[ {} \left (x^{2}-2 x +10\right ) y^{\prime \prime }+x y^{\prime }-4 y = 0 \]	✓	✓	✗

9485	\[ {} y^{\prime \prime }-x y^{\prime }+2 y = 0 \]	✓	✓	✗

9486	\[ {} \left (x +2\right ) y^{\prime \prime }+x y^{\prime }-y = 0 \]	✓	✓	✗

9488	\[ {} \left (x^{2}+2\right ) y^{\prime \prime }+3 x y^{\prime }-y = 0 \]	✓	✓	✗

9489	\[ {} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0 \]	✓	✓	✗

9492	\[ {} 2 x y^{\prime \prime }-\left (2 x +3\right ) y^{\prime }+y = 0 \]	✓	✓	✗

9496	\[ {} x y^{\prime \prime }+\left (x -6\right ) y^{\prime }-3 y = 0 \]	✓	✓	✗

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

9601	\[ {} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0 \]	✓	✓	✗

9603	\[ {} \left (x^{2}-2 x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }+\left (2 x -2\right ) y = 0 \]	✓	✓	✗

9604	\[ {} \left (2 x +1\right ) y^{\prime \prime }-2 y^{\prime }-\left (2 x +3\right ) y = 0 \]	✓	✓	✗

9605	\[ {} 4 x^{2} y^{\prime \prime }+\left (-8 x^{2}+4 x \right ) y^{\prime }+\left (4 x^{2}-4 x -1\right ) y = 0 \]	✓	✓	✗

9606	\[ {} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+2\right ) y = 0 \]	✓	✓	✗

9607	\[ {} x^{2} y^{\prime \prime }+2 x \left (x -1\right ) y^{\prime }+\left (x^{2}-2 x +2\right ) y = 0 \]	✓	✓	✗

9608	\[ {} x^{2} y^{\prime \prime }-x \left (2 x -1\right ) y^{\prime }+\left (x^{2}-x -1\right ) y = 0 \]	✓	✓	✗

9609	\[ {} \left (1-2 x \right ) y^{\prime \prime }+2 y^{\prime }+\left (2 x -3\right ) y = 0 \]	✓	✓	✗

9610	\[ {} 2 x y^{\prime \prime }+\left (1+4 x \right ) y^{\prime }+\left (2 x +1\right ) y = 0 \]	✓	✓	✗

9611	\[ {} x y^{\prime \prime }-\left (2 x +1\right ) y^{\prime }+\left (1+x \right ) y = 0 \]	✓	✓	✗

9612	\[ {} 4 x^{2} y^{\prime \prime }-4 x \left (1+x \right ) y^{\prime }+\left (2 x +3\right ) y = 0 \]	✓	✓	✗

9613	\[ {} x y^{\prime \prime }+\left (2-2 x \right ) y^{\prime }+\left (x -2\right ) y = 0 \]	✓	✓	✗

9615	\[ {} x y^{\prime \prime }-\left (2 x +2\right ) y^{\prime }+\left (x +2\right ) y = 0 \]	✓	✓	✗

9617	\[ {} x y^{\prime \prime }-\left (1+4 x \right ) y^{\prime }+\left (4 x +2\right ) y = 0 \]	✓	✓	✗

9619	\[ {} \left (2 x +1\right ) x y^{\prime \prime }-2 \left (2 x^{2}-1\right ) y^{\prime }-4 \left (1+x \right ) y = 0 \]	✓	✓	✗

9620	\[ {} \left (x^{2}-2 x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }+\left (2 x -2\right ) y = 0 \]	✓	✓	✗

9621	\[ {} x y^{\prime \prime }-\left (1+4 x \right ) y^{\prime }+\left (4 x +2\right ) y = 0 \]	✓	✓	✗

9622	\[ {} \left (3 x -1\right ) y^{\prime \prime }-\left (3 x +2\right ) y^{\prime }-\left (6 x -8\right ) y = 0 \]	✓	✓	✗

9624	\[ {} 4 x^{2} y^{\prime \prime }+\left (-8 x^{2}+4 x \right ) y^{\prime }+\left (4 x^{2}-4 x -1\right ) y = 0 \]	✓	✓	✗

9625	\[ {} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+2\right ) y = 0 \]	✓	✓	✗

9626	\[ {} \left (2 x +1\right ) y^{\prime \prime }-2 y^{\prime }-\left (2 x +3\right ) y = 0 \]	✓	✓	✗

9627	\[ {} x y^{\prime \prime }-\left (2 x +2\right ) y^{\prime }+\left (x +2\right ) y = 0 \]	✓	✓	✗

9632	\[ {} x^{2} y^{\prime \prime }-2 x \left (1+x \right ) y^{\prime }+\left (x^{2}+2 x +2\right ) y = 0 \]	✓	✓	✗

5.3.21 Problems 2001 to 2100