2.3.18 Problems 1701 to 1800

Table 2.609: Main lookup table. Sorted by time used to solve.

#	ID	ODE	Solved?	Maple	Mma	Sympy	time(sec)
1701	19558	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime }+y&=2 x^{3}-3 x^{2}+4 x +5 \\ \end{align*}	✓	✓	✓	✓	0.148
1702	21187	\begin{align*} x^{\prime \prime \prime \prime }-x&=0 \\ x \left (0\right ) &= 1 \\ x^{\prime }\left (0\right ) &= 0 \\ x^{\prime \prime }\left (0\right ) &= 0 \\ x^{\prime \prime \prime }\left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	0.148
1703	22157	\begin{align*} y^{\prime \prime \prime }&=12 \\ \end{align*}	✓	✓	✓	✓	0.148
1704	23419	\begin{align*} y^{\prime \prime }-2 x y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✗	0.148
1705	24608	\begin{align*} y^{\prime \prime \prime }-y&=x^{2}+8 \\ \end{align*}	✓	✓	✓	✓	0.148
1706	26047	\begin{align*} y^{\prime \prime }+\tan \left (x \right ) y^{\prime }+y \sec \left (x \right )^{2}&=0 \\ \end{align*}	✓	✓	✓	✗	0.148
1707	26537	\begin{align*} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+6 y^{\prime \prime }+4 y^{\prime }+y&=\sin \left (x \right ) \\ \end{align*}	✓	✓	✓	✓	0.148
1708	8857	\begin{align*} y^{\prime \prime \prime }&=x^{2} \\ \end{align*}	✓	✓	✓	✓	0.149
1709	11121	\begin{align*} x^{2} y^{\prime \prime }-\left (2 \sqrt {5}-1\right ) x y^{\prime }+\left (\frac {19}{4}-3 x^{2}\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.149
1710	14347	\begin{align*} x^{\prime \prime \prime }-x^{\prime }-8 x&=0 \\ \end{align*}	✓	✓	✓	✓	0.149
1711	15148	\begin{align*} y^{\prime \prime \prime }-5 y^{\prime \prime }+y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.149
1712	20610	\begin{align*} x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.149
1713	22672	\begin{align*} s^{\prime \prime \prime \prime }+2 s^{\prime \prime }-8 s&=0 \\ \end{align*}	✓	✓	✓	✓	0.149
1714	23994	\begin{align*} y^{\prime \prime \prime \prime }-y^{\prime \prime }&=x^{3} \\ \end{align*}	✓	✓	✓	✓	0.149
1715	26831	\begin{align*} x^{\prime \prime }+3 x^{\prime }+2 x&={\mathrm e}^{-t}+{\mathrm e}^{-2 t} \\ x \left (0\right ) &= 2 \\ x^{\prime }\left (0\right ) &= -3 \\ \end{align*} Using Laplace transform method.	✓	✓	✓	✓	0.149
1716	7788	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y&=2 x \,{\mathrm e}^{-x} \\ \end{align*}	✓	✓	✓	✓	0.150
1717	17564	\begin{align*} y^{\prime \prime \prime \prime }+16 y^{\prime \prime \prime }&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 1 \\ y^{\prime \prime }\left (0\right ) &= 0 \\ y^{\prime \prime \prime }\left (0\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	0.150
1718	22494	\begin{align*} x y^{\prime \prime \prime }+y^{\prime \prime }&=1 \\ \end{align*}	✓	✓	✓	✓	0.150
1719	23415	\begin{align*} x \left (x -2\right ) y^{\prime \prime }-2 \left (x^{2}-3 x +3\right ) y^{\prime }+\left (x^{2}-4 x +6\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.150
1720	26531	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+y^{\prime \prime }&=x \,{\mathrm e}^{-x} \\ \end{align*}	✓	✓	✓	✓	0.150
1721	27743	\begin{align*} y^{\prime \prime }+y \,{\mathrm e}^{2 x}&=0 \\ \end{align*}	✓	✓	✓	✗	0.150
1722	321	\begin{align*} x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+7 x y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.151
1723	746	\begin{align*} \left (x +y\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.151
1724	3785	\begin{align*} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✗	0.151
1725	10010	\begin{align*} \left (x +y\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.151
1726	16446	\begin{align*} y^{\prime \prime }-10 y^{\prime }+25 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.151
1727	16660	\begin{align*} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }&=12 \,{\mathrm e}^{-2 x} \\ \end{align*}	✓	✓	✓	✓	0.151
1728	19759	\begin{align*} x^{\prime \prime \prime \prime }-6 x^{\prime \prime \prime }+11 x^{\prime \prime }-6 x^{\prime }&={\mathrm e}^{-3 t} \\ \end{align*}	✓	✓	✓	✓	0.151
1729	19763	\begin{align*} y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }&={\mathrm e}^{2 x} \\ \end{align*}	✓	✓	✓	✓	0.151
1730	19834	\begin{align*} y^{\prime \prime \prime }+4 y^{\prime \prime }+3 y^{\prime }&=x^{2} \\ \end{align*}	✓	✓	✓	✓	0.151
1731	20070	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+y^{\prime \prime }&=x^{2} \left (b x +a \right ) \\ \end{align*}	✓	✓	✓	✓	0.151
1732	23414	\begin{align*} y^{\prime \prime }+\frac {y^{\prime }}{x^{{1}/{3}}}+\left (\frac {1}{4 x^{{2}/{3}}}-\frac {1}{6 x^{{4}/{3}}}-\frac {6}{x^{2}}\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.151
1733	24556	\begin{align*} y^{\prime \prime \prime \prime }-y&=7 x^{2} \\ \end{align*}	✓	✓	✓	✓	0.151
1734	25252	\begin{align*} t^{2} y^{\prime \prime }+2 t y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.151
1735	25922	\begin{align*} 4 y^{\left (7\right )}-35 y^{\left (5\right )}-35 y^{\prime \prime \prime \prime }+70 y^{\prime \prime \prime }+154 y^{\prime \prime }+105 y^{\prime }+25 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.151
1736	26588	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y&={\mathrm e}^{x} \cos \left (2 x \right ) \\ \end{align*}	✓	✓	✓	✓	0.151
1737	26840	\begin{align*} x^{\prime \prime \prime }-x^{\prime \prime }&=0 \\ x \left (0\right ) &= 1 \\ x^{\prime }\left (0\right ) &= 3 \\ x^{\prime \prime }\left (0\right ) &= 2 \\ \end{align*} Using Laplace transform method.	✓	✓	✓	✓	0.151
1738	16540	\begin{align*} y^{\prime \prime \prime \prime }+26 y^{\prime \prime }+25 y&=0 \\ y \left (0\right ) &= 6 \\ y^{\prime }\left (0\right ) &= -28 \\ y^{\prime \prime }\left (0\right ) &= -102 \\ y^{\prime \prime \prime }\left (0\right ) &= 622 \\ \end{align*}	✓	✓	✓	✓	0.152
1739	16664	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y&=x^{2} \\ \end{align*}	✓	✓	✓	✓	0.152
1740	19624	\begin{align*} y^{\prime \prime }-4 y^{\prime }+4 y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 3 \\ \end{align*} Using Laplace transform method.	✓	✓	✓	✓	0.152
1741	22640	\begin{align*} y^{\prime \prime \prime \prime }-20 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.152
1742	22646	\begin{align*} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.152
1743	24059	\begin{align*} y^{\prime \prime \prime }-y^{\prime }&=x^{3}+{\mathrm e}^{-2 x} \\ \end{align*}	✓	✓	✓	✓	0.152
1744	24557	\begin{align*} y^{\prime \prime \prime \prime }-y&={\mathrm e}^{-x} \\ \end{align*}	✓	✓	✓	✓	0.152
1745	26849	\begin{align*} x^{\prime }+x&=y+{\mathrm e}^{t} \\ y+y^{\prime }&=x+{\mathrm e}^{t} \\ \end{align*} With initial conditions \begin{align*} x \left (0\right ) &= 1 \\ y \left (0\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	0.152
1746	472	\begin{align*} x^{3} \left (1-x \right ) y^{\prime \prime }+\left (3 x +2\right ) y^{\prime }+y x&=0 \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.153
1747	16662	\begin{align*} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }&=32 \,{\mathrm e}^{4 x} \\ \end{align*}	✓	✓	✓	✓	0.153
1748	17570	\begin{align*} 2 y^{\left (5\right )}+7 y^{\prime \prime \prime \prime }+17 y^{\prime \prime \prime }+17 y^{\prime \prime }+5 y^{\prime }&=0 \\ y \left (0\right ) &= -3 \\ y^{\prime }\left (0\right ) &= {\frac {15}{2}} \\ y^{\prime \prime }\left (0\right ) &= {\frac {17}{4}} \\ y^{\prime \prime \prime }\left (0\right ) &= -{\frac {385}{8}} \\ y^{\prime \prime \prime \prime }\left (0\right ) &= {\frac {1217}{16}} \\ \end{align*}	✓	✓	✓	✓	0.153
1749	19548	\begin{align*} x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.153
1750	19575	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y&={\mathrm e}^{2 x} \\ \end{align*}	✓	✓	✓	✓	0.153
1751	20049	\begin{align*} y^{\prime \prime \prime }+y&=3+{\mathrm e}^{-x}+5 \,{\mathrm e}^{2 x} \\ \end{align*}	✓	✓	✓	✓	0.153
1752	22667	\begin{align*} y^{\prime \prime \prime \prime }+6 y^{\prime \prime }+25 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.153
1753	26817	\begin{align*} x^{\prime \prime }+4 x^{\prime }+3 x&=1 \\ x \left (0\right ) &= 3 \\ x^{\prime }\left (0\right ) &= -2 \\ \end{align*} Using Laplace transform method.	✓	✓	✓	✓	0.153
1754	336	\begin{align*} y^{\left (5\right )}+5 y^{\prime \prime \prime \prime }-y&=17 \\ \end{align*}	✓	✓	✓	✓	0.154
1755	3714	\begin{align*} y^{\prime \prime \prime }+5 y^{\prime \prime }+6 y^{\prime }&=6 \,{\mathrm e}^{-x} \\ \end{align*}	✓	✓	✓	✓	0.154
1756	3729	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+y&=4 x \,{\mathrm e}^{x} \\ \end{align*}	✓	✓	✓	✓	0.154
1757	8934	\begin{align*} y^{\prime \prime \prime }-y&=x \\ \end{align*}	✓	✓	✓	✓	0.154
1758	10872	\begin{align*} x^{2} y^{\prime \prime }-\left (x -\frac {3}{16}\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	0.154
1759	23481	\begin{align*} y^{\left (6\right )}-3 y^{\prime \prime \prime \prime }&=1 \\ \end{align*}	✓	✓	✓	✓	0.154
1760	23523	\begin{align*} e i u^{\prime \prime \prime \prime }&=x^{4} \\ \end{align*}	✓	✓	✓	✓	0.154
1761	24014	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y&=2 x \,{\mathrm e}^{3 x} \\ \end{align*}	✓	✓	✓	✓	0.154
1762	26834	\begin{align*} x^{\prime \prime }-x^{\prime }&=2 \sin \left (t \right ) \\ x \left (0\right ) &= 2 \\ x^{\prime }\left (0\right ) &= 0 \\ \end{align*} Using Laplace transform method.	✓	✓	✓	✓	0.154
1763	320	\begin{align*} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+x y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.155
1764	1776	\begin{align*} 4 x y^{\prime \prime }+2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.155
1765	2206	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y&={\mathrm e}^{2 x} \left (10+3 x \right ) \\ \end{align*}	✓	✓	✓	✓	0.155
1766	2572	\begin{align*} y^{\prime \prime }-\frac {2 \left (t +1\right ) y^{\prime }}{t^{2}+2 t -1}+\frac {2 y}{t^{2}+2 t -1}&=0 \\ \end{align*}	✓	✓	✓	✗	0.155
1767	3158	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }&={\mathrm e}^{2 x}+\sin \left (x \right ) \\ \end{align*}	✓	✓	✓	✓	0.155
1768	3720	\begin{align*} y^{\prime \prime \prime }+2 y^{\prime \prime }-5 y^{\prime }-6 y&=4 x^{2} \\ \end{align*}	✓	✓	✓	✓	0.155
1769	8959	\begin{align*} x^{2} y^{\prime \prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.155
1770	10299	\begin{align*} x y y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.155
1771	18186	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }&=1 \\ \end{align*}	✓	✓	✓	✓	0.155
1772	19549	\begin{align*} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }+x y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.155
1773	19845	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y&={\mathrm e}^{x} \\ \end{align*}	✓	✓	✓	✓	0.155
1774	20806	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y&={\mathrm e}^{2 x} \\ \end{align*}	✓	✓	✓	✓	0.155
1775	24069	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime \prime }+y&=x^{5}+2 x^{2} \\ \end{align*}	✓	✓	✓	✓	0.155
1776	24524	\begin{align*} y^{\prime \prime \prime }-5 y^{\prime \prime }+4 y&=14 \\ \end{align*}	✓	✓	✓	✓	0.155
1777	24611	\begin{align*} y^{\prime \prime \prime \prime }+4 y&=\sin \left (x \right ) \\ \end{align*}	✓	✓	✓	✓	0.155
1778	26533	\begin{align*} y^{\prime \prime \prime \prime }+4 y^{\prime \prime }+4 y&=\cos \left (x \right ) \\ \end{align*}	✓	✓	✓	✓	0.155
1779	26700	\begin{align*} y^{\prime \prime \prime }+\alpha y^{\prime \prime }-\alpha ^{2} y^{\prime }-\alpha ^{3} y&=0 \\ y \left (0\right ) &= -\frac {1}{\alpha } \\ y \left (1\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 1+\frac {1}{\alpha } \\ \end{align*}	✓	✓	✓	✓	0.155
1780	2579	\begin{align*} t y^{\prime \prime }-\left (1+3 t \right ) y^{\prime }+3 y&=0 \\ \end{align*}	✓	✓	✓	✗	0.156
1781	3712	\begin{align*} y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-2 y&=4 \,{\mathrm e}^{2 x} \\ \end{align*}	✓	✓	✓	✓	0.156
1782	12785	\begin{align*} y^{\prime \prime \prime \prime }-12 y^{\prime \prime }+12 y-16 x^{4} {\mathrm e}^{x^{2}}&=0 \\ \end{align*}	✓	✓	✓	✓	0.156
1783	22498	\begin{align*} 2 x y^{\prime \prime }+x^{2} y^{\prime \prime \prime }&=1 \\ \end{align*}	✓	✓	✓	✓	0.156
1784	23425	\begin{align*} x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+3 y&=0 \\ \end{align*}	✓	✓	✓	✗	0.156
1785	23428	\begin{align*} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+9 y&=0 \\ \end{align*}	✓	✓	✓	✗	0.156
1786	24610	\begin{align*} y^{\prime \prime \prime \prime }+4 y&=\cos \left (x \right ) \\ \end{align*}	✓	✓	✓	✓	0.156
1787	11093	\begin{align*} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+6\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.157
1788	14615	\begin{align*} y^{\prime \prime \prime }-5 y^{\prime \prime }+9 y^{\prime }-5 y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 1 \\ y^{\prime \prime }\left (0\right ) &= 6 \\ \end{align*}	✓	✓	✓	✓	0.157
1789	18127	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 2 \\ y^{\prime \prime }\left (0\right ) &= 3 \\ \end{align*}	✓	✓	✓	✓	0.157
1790	19035	\begin{align*} x_{1}^{\prime }&=-4 x_{1}-x_{2} \\ x_{2}^{\prime }&=x_{1}-2 x_{2} \\ \end{align*}	✓	✓	✓	✓	0.157
1791	19545	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime }&=10+42 \,{\mathrm e}^{3 x} \\ \end{align*}	✓	✓	✓	✓	0.157
1792	19576	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y&=12 \,{\mathrm e}^{-x} \\ \end{align*}	✓	✓	✓	✓	0.157
1793	318	\begin{align*} x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }+x y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.158
1794	319	\begin{align*} x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }+x y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.158
1795	2577	\begin{align*} \left (2 t +1\right ) y^{\prime \prime }-4 \left (t +1\right ) y^{\prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✗	0.158
1796	2715	\begin{align*} y^{\left (5\right )}-2 y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 0 \\ y^{\prime \prime }\left (0\right ) &= 0 \\ y^{\prime \prime \prime }\left (0\right ) &= 0 \\ y^{\prime \prime \prime \prime }\left (0\right ) &= -1 \\ \end{align*}	✓	✓	✓	✓	0.158
1797	3721	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y&=9 \,{\mathrm e}^{-x} \\ \end{align*}	✓	✓	✓	✓	0.158
1798	8954	\begin{align*} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.158
1799	8960	\begin{align*} x^{2} y^{\prime \prime }-x y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.158
1800	10300	\begin{align*} x y \sin \left (x \right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.158