2.3.174 Problems 17301 to 17400

Table 2.879: Main lookup table. Sorted by time used to solve.

#	ID	ODE	Solved?	Maple	Mma	Sympy	time(sec)
17301	1568	\begin{align*} y^{\prime } x -2 y&=-x^{2} \\ y \left (1\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	1.862
17302	2075	\begin{align*} x^{2} \left (x +1\right ) y^{\prime \prime }-x \left (3+10 x \right ) y^{\prime }+30 y x&=0 \\ \end{align*} Series expansion around \(x=0\).	✓	✓	✓	✓	1.862
17303	5210	\begin{align*} \left (x +y^{2}\right ) y^{\prime }+y&=b x +a \\ \end{align*}	✓	✓	✓	✗	1.862
17304	17318	\begin{align*} 3 y+y^{\prime }&=-10 \sin \left (t \right ) \\ \end{align*}	✓	✓	✓	✓	1.862
17305	20784	\begin{align*} -y+y^{\prime } x +\left (-x^{2}+1\right ) y^{\prime \prime }&=x \left (-x^{2}+1\right )^{{3}/{2}} \\ \end{align*}	✓	✓	✓	✗	1.862
17306	4202	\begin{align*} \tan \left (x \right ) y^{\prime }+y&=\cot \left (x \right ) \\ \end{align*}	✓	✓	✓	✓	1.863
17307	18118	\begin{align*} y y^{\prime \prime }&=1+{y^{\prime }}^{2} \\ \end{align*}	✓	✓	✓	✗	1.863
17308	22467	\begin{align*} x^{2}+y^{2}+y+\left (x^{2}+y^{2}-x \right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✗	1.863
17309	28	\begin{align*} y^{\prime }&=\ln \left (y\right ) x \\ y \left (1\right ) &= 1 \\ \end{align*}	✓	✓	✓	✗	1.864
17310	13959	\begin{align*} y^{\prime \prime }+\left (a \,{\mathrm e}^{x \left (\lambda +\mu \right )}+a \lambda \,{\mathrm e}^{\lambda x}+b \,{\mathrm e}^{\mu x}-2 \lambda \right ) y^{\prime }+a^{2} b \lambda \,{\mathrm e}^{\left (2 \lambda +\mu \right ) x} y&=0 \\ \end{align*}	✗	✗	✗	✗	1.864
17311	22738	\begin{align*} x^{2} y^{\prime \prime }-2 y^{\prime } x +2 y&=x \,{\mathrm e}^{-x} \\ \end{align*}	✓	✓	✓	✗	1.864
17312	4936	\begin{align*} x \left (x +1\right ) y^{\prime }&=\left (1-2 x \right ) y \\ \end{align*}	✓	✓	✓	✓	1.865
17313	22443	\begin{align*} y^{\prime }&=\frac {x}{x^{2} y+y^{3}} \\ \end{align*}	✓	✓	✓	✓	1.865
17314	2976	\begin{align*} y^{\prime }+\cot \left (x \right ) y-\sec \left (x \right )&=0 \\ \end{align*}	✓	✓	✓	✓	1.866
17315	5611	\begin{align*} {y^{\prime }}^{3}&=\left (y-a \right )^{2} \left (y-b \right )^{2} \\ \end{align*}	✓	✓	✓	✓	1.866
17316	18617	\begin{align*} 1&=\left (3 \,{\mathrm e}^{y}-2 x \right ) y^{\prime } \\ \end{align*}	✓	✓	✓	✓	1.866
17317	24223	\begin{align*} 1+y \tan \left (y x \right )+x \tan \left (y x \right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✗	1.867
17318	1180	\begin{align*} y^{\prime }&=-y \left (3-t y\right ) \\ \end{align*}	✓	✓	✓	✓	1.868
17319	25206	\begin{align*} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y&=t^{5} \\ y \left (1\right ) &= 1 \\ y^{\prime }\left (1\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	1.868
17320	12963	\begin{align*} 2 \left (y-a \right ) y^{\prime \prime }+{y^{\prime }}^{2}+1&=0 \\ \end{align*}	✓	✓	✓	✗	1.869
17321	21980	\begin{align*} \sin \left (x \right )+y^{2} y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	1.869
17322	22356	\begin{align*} y^{\prime \prime }+x {y^{\prime }}^{2}&=1 \\ \end{align*}	✓	✓	✓	✗	1.869
17323	14136	\begin{align*} \left (1-x \right ) y^{\prime \prime }+y^{\prime } x -y&=\left (1-x \right )^{2} \\ \end{align*}	✓	✓	✓	✗	1.870
17324	20230	\begin{align*} x y^{2}+x +\left (y+x^{2} y\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	1.870
17325	17180	\begin{align*} y+y^{\prime }&=2-{\mathrm e}^{2 t} \\ \end{align*}	✓	✓	✓	✓	1.872
17326	18115	\begin{align*} 2 y^{\prime \prime }&=3 y^{2} \\ y \left (-2\right ) &= 1 \\ y^{\prime }\left (-2\right ) &= -1 \\ \end{align*}	✓	✓	✓	✗	1.872
17327	23200	\begin{align*} x^{2}-y^{2}+x +2 x y^{\prime } y&=0 \\ \end{align*}	✓	✓	✓	✓	1.872
17328	4236	\begin{align*} y \,{\mathrm e}^{2 x} y^{\prime }+2 x&=0 \\ y \left (0\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	1.873
17329	8544	\begin{align*} y^{\prime \prime } x +2 y^{\prime }+4 y&=0 \\ \end{align*} Series expansion around \(x=0\).	✓	✓	✓	✓	1.873
17330	14239	\begin{align*} \frac {x^{\prime }+t x^{\prime \prime }}{t}&=-2 \\ \end{align*}	✓	✓	✓	✓	1.873
17331	16392	\begin{align*} y^{\prime \prime } x -{y^{\prime }}^{2}&=6 x^{5} \\ \end{align*}	✓	✓	✓	✗	1.873
17332	22003	\begin{align*} x^{2}+1+\frac {y^{\prime }}{y}&=0 \\ y \left (-1\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	1.873
17333	178	\begin{align*} x^{\prime }&=7 x \left (x-13\right ) \\ x \left (0\right ) &= 17 \\ \end{align*}	✓	✓	✓	✓	1.874
17334	7243	\begin{align*} y^{\prime }+y&=x y^{{2}/{3}} \\ \end{align*}	✓	✓	✓	✓	1.874
17335	9553	\begin{align*} y^{\prime \prime } x -y^{\prime } x +y&=0 \\ \end{align*} Series expansion around \(x=0\).	✓	✓	✓	✓	1.874
17336	24959	\begin{align*} y^{3} y^{\prime }&=t \\ \end{align*}	✓	✓	✓	✓	1.874
17337	4201	\begin{align*} \cot \left (x \right ) y^{\prime }+y&=\tan \left (x \right ) \\ \end{align*}	✓	✓	✓	✓	1.875
17338	4288	\begin{align*} y^{\prime }+2 y x&={\mathrm e}^{-x^{2}} \\ \end{align*}	✓	✓	✓	✓	1.875
17339	7495	\begin{align*} \cos \left (x +y\right ) y^{\prime }&=\sin \left (x +y\right ) \\ \end{align*}	✓	✓	✓	✓	1.875
17340	9118	\begin{align*} y^{\prime } x +y&=x y^{2} \\ \end{align*}	✓	✓	✓	✓	1.875
17341	14248	\begin{align*} x^{\prime }&=-\frac {2 x}{t}+t \\ \end{align*}	✓	✓	✓	✓	1.875
17342	18527	\begin{align*} 2 y+t y^{\prime }&=\sin \left (t \right ) \\ y \left (\frac {\pi }{2}\right ) &= 3 \\ \end{align*}	✓	✓	✓	✓	1.875
17343	4627	\begin{align*} y^{\prime }&=x \csc \left (x \right )-\cot \left (x \right ) y \\ \end{align*}	✓	✓	✓	✓	1.876
17344	6003	\begin{align*} x^{2} y^{\prime \prime }+3 y^{\prime } x +y&=a -x +x \ln \left (x \right ) \\ \end{align*}	✓	✓	✓	✓	1.876
17345	17981	\begin{align*} x^{2}+y-y^{\prime } x&=0 \\ \end{align*}	✓	✓	✓	✓	1.876
17346	24254	\begin{align*} 1-\left (1+2 x \tan \left (y\right )\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	1.876
17347	4760	\begin{align*} y^{\prime } x&=a y \\ \end{align*}	✓	✓	✓	✓	1.877
17348	16370	\begin{align*} x +y \,{\mathrm e}^{y x}+x \,{\mathrm e}^{y x} y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✗	1.877
17349	19974	\begin{align*} 4 y^{2} {y^{\prime }}^{2}+2 \left (1+3 x \right ) x y y^{\prime }+3 x^{3}&=0 \\ \end{align*}	✓	✓	✓	✓	1.878
17350	6963	\begin{align*} y^{\prime } x +y&=x^{3} \\ \end{align*}	✓	✓	✓	✓	1.879
17351	9773	\begin{align*} -{y^{\prime }}^{2}+{y^{\prime }}^{3}+y y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✗	1.879
17352	11428	\begin{align*} \left (x +1\right ) y^{\prime }+y \left (y-x \right )&=0 \\ \end{align*}	✓	✓	✓	✓	1.879
17353	17634	\begin{align*} x^{2} y^{\prime \prime }-5 y^{\prime } x +9 y&=x^{3} \\ \end{align*}	✓	✓	✓	✓	1.879
17354	4405	\begin{align*} y^{\prime }+\frac {y}{x}&={\mathrm e}^{y x} \\ \end{align*}	✓	✓	✓	✗	1.880
17355	19196	\begin{align*} y^{\prime \prime }+9 y&=\ln \left (2 \sin \left (\frac {x}{2}\right )\right ) \\ \end{align*}	✓	✓	✓	✓	1.880
17356	20502	\begin{align*} x^{2} y^{\prime \prime }+4 y^{\prime } x +2 y&={\mathrm e}^{x} \\ \end{align*}	✓	✓	✓	✓	1.880
17357	21949	\begin{align*} y^{\prime \prime \prime }-5 y^{\prime } x&={\mathrm e}^{x}+1 \\ \end{align*}	✓	✓	✓	✓	1.880
17358	21991	\begin{align*} x -y^{2} y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	1.880
17359	7007	\begin{align*} y^{\prime }+8 x^{3} y^{3}+2 y x&=0 \\ \end{align*}	✓	✓	✓	✓	1.881
17360	8242	\begin{align*} y^{\prime }&=y^{2} \\ y \left (3\right ) &= -1 \\ \end{align*}	✓	✓	✓	✓	1.881
17361	1563	\begin{align*} y^{\prime } x +3 y&=\frac {2}{x \left (x^{2}+1\right )} \\ y \left (-1\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	1.882
17362	4925	\begin{align*} \left (-x^{2}+4\right ) y^{\prime }+4 y&=\left (2+x \right ) y^{2} \\ \end{align*}	✓	✓	✓	✓	1.882
17363	8305	\begin{align*} y^{\prime }&=x \\ y \left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	1.882
17364	18376	\begin{align*} y^{\prime \prime } x +y \sin \left (x \right )&=x \\ y \left (\pi \right ) &= 1 \\ y^{\prime }\left (\pi \right ) &= 0 \\ \end{align*} Series expansion around \(x=\pi \).	✓	✓	✓	✗	1.882
17365	8973	\begin{align*} y^{\prime \prime }-2 y^{\prime } x +2 \alpha y&=0 \\ \end{align*}	✗	✓	✓	✗	1.883
17366	9120	\begin{align*} \left ({\mathrm e}^{y}-2 y x \right ) y^{\prime }&=y^{2} \\ \end{align*}	✓	✓	✓	✓	1.883
17367	19127	\begin{align*} y^{\prime }&=\sqrt {y-x} \\ \end{align*}	✓	✓	✓	✓	1.883
17368	88	\begin{align*} y^{\prime }&=\left (1-y\right ) \cos \left (x \right ) \\ y \left (\pi \right ) &= 2 \\ \end{align*}	✓	✓	✓	✓	1.884
17369	4103	\begin{align*} y^{\prime } x&=x +y \\ y \left (-1\right ) &= -1 \\ \end{align*}	✓	✓	✓	✓	1.884
17370	4980	\begin{align*} x \left (x^{2}+1\right ) y^{\prime }&=\left (-x^{2}+1\right ) y \\ \end{align*}	✓	✓	✓	✓	1.884
17371	16228	\begin{align*} y^{\prime }&=y x -4 x \\ \end{align*}	✓	✓	✓	✓	1.884
17372	18592	\begin{align*} 3 x +\frac {6}{y}+\left (\frac {x^{2}}{y}+\frac {3 y}{x}\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✗	1.884
17373	22453	\begin{align*} y^{\prime }+\cot \left (x \right ) y&=\cos \left (x \right ) \\ \end{align*}	✓	✓	✓	✓	1.884
17374	23172	\begin{align*} \left (x^{2}+1\right ) y^{\prime }+2 y x&=-2 x \\ y \left (0\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	1.884
17375	1236	\begin{align*} y^{\prime }&=\frac {3 x^{2}-2 y-y^{3}}{2 x +3 x y^{2}} \\ \end{align*}	✓	✓	✓	✗	1.885
17376	3245	\begin{align*} x^{\prime \prime }+k^{2} x&=0 \\ \end{align*}	✓	✓	✓	✓	1.885
17377	14425	\begin{align*} 2 y+y^{\prime }&=6 \,{\mathrm e}^{x}+4 \,{\mathrm e}^{-2 x} x \\ \end{align*}	✓	✓	✓	✓	1.885
17378	17173	\begin{align*} y^{\prime }-\frac {y}{t}&=\ln \left (t \right ) \\ \end{align*}	✓	✓	✓	✓	1.885
17379	20658	\begin{align*} x^{2} y^{\prime \prime }+y^{\prime } x -y&=8 x^{3} \\ \end{align*}	✓	✓	✓	✓	1.885
17380	14520	\begin{align*} y-1+x \left (x +1\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	1.886
17381	20114	\begin{align*} x^{2} y^{\prime \prime }-\left (2 m -1\right ) x y^{\prime }+\left (m^{2}+n^{2}\right ) y&=n^{2} x^{m} \ln \left (x \right ) \\ \end{align*}	✓	✓	✓	✓	1.886
17382	25491	\begin{align*} y^{\prime }&=t y \\ y \left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	1.886
17383	5174	\begin{align*} \left (3+6 y x +x^{2}\right ) y^{\prime }+2 x +2 y x +3 y^{2}&=0 \\ \end{align*}	✓	✓	✓	✗	1.887
17384	18564	\begin{align*} y^{\prime }&=y \left (3-t y\right ) \\ \end{align*}	✓	✓	✓	✓	1.887
17385	22521	\begin{align*} \left (3-x^{2} y\right ) y^{\prime }&=x y^{2}+4 \\ \end{align*}	✓	✓	✓	✗	1.887
17386	13277	\begin{align*} \left (a \,x^{n}+b \,x^{m}+c \right ) y^{\prime }&=c y^{2}-b \,x^{m -1} y+a \,x^{-2+n} \\ \end{align*}	✓	✗	✗	✗	1.888
17387	14259	\begin{align*} R^{\prime }&=\frac {R}{t}+t \,{\mathrm e}^{-t} \\ R \left (1\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	1.888
17388	15366	\begin{align*} \left (-x^{2}+x \right ) y^{\prime }+\left (2 x^{2}-1\right ) y-a \,x^{3}&=0 \\ \end{align*}	✓	✓	✓	✓	1.888
17389	3539	\begin{align*} 1-y \sin \left (x \right )-\cos \left (x \right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	1.889
17390	2104	\begin{align*} x^{2} \left (2 x^{2}+1\right ) y^{\prime \prime }-x \left (x^{2}+3\right ) y^{\prime }-2 y x&=0 \\ \end{align*} Series expansion around \(x=0\).	✓	✓	✓	✓	1.890
17391	5354	\begin{align*} {y^{\prime }}^{2}&=a \,x^{n} \\ \end{align*}	✓	✓	✓	✓	1.891
17392	7009	\begin{align*} y^{\prime }+a y&=b \sin \left (k x \right ) \\ \end{align*}	✓	✓	✓	✓	1.891
17393	8446	\begin{align*} y^{\prime } x +y&={\mathrm e}^{x} \\ y \left (1\right ) &= 2 \\ \end{align*}	✓	✓	✓	✓	1.891
17394	15035	\begin{align*} y^{\prime }-\frac {y}{x +1}+y^{2}&=0 \\ \end{align*}	✓	✓	✓	✓	1.891
17395	18534	\begin{align*} 2 y+t y^{\prime }&=\frac {\sin \left (t \right )}{t} \\ y \left (-\frac {\pi }{2}\right ) &= a \\ \end{align*}	✓	✓	✓	✓	1.891
17396	18554	\begin{align*} y^{\prime }&=\left (t^{2}+y^{2}\right )^{{3}/{2}} \\ \end{align*}	✗	✗	✗	✗	1.891
17397	24076	\begin{align*} x-y+z^{\prime }&=0 \\ x^{\prime }-y&=1 \\ y^{\prime }-y+z&=0 \\ \end{align*}	✓	✓	✓	✓	1.891
17398	1139	\begin{align*} x +y y^{\prime } {\mathrm e}^{-x}&=0 \\ y \left (0\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	1.892
17399	15369	\begin{align*} y^{\prime }-\frac {n y}{x}&={\mathrm e}^{x} x^{n} \\ \end{align*}	✓	✓	✓	✓	1.892
17400	1112	\begin{align*} 2 y+t y^{\prime }&=t^{2}-t +1 \\ y \left (1\right ) &= {\frac {1}{2}} \\ \end{align*}	✓	✓	✓	✓	1.893