2.3.3 Problems 201 to 300

Table 2.579: Main lookup table. Sorted by time used to solve.

#	ID	ODE	Solved?	Maple	Mma	Sympy	time(sec)
201	17746	\begin{align*} 9 y^{\prime \prime \prime }+36 y^{\prime \prime }+40 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.064
202	302	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.065
203	17555	\begin{align*} y^{\left (5\right )}+4 y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.065
204	17573	\begin{align*} y^{\prime \prime \prime }+9 y^{\prime \prime }+16 y^{\prime }-26 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.065
205	17747	\begin{align*} 9 y^{\prime \prime \prime }+12 y^{\prime \prime }+13 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.065
206	301	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }+4 y^{\prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.066
207	937	\begin{align*} y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.066
208	1465	\begin{align*} y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.066
209	2123	\begin{align*} y^{\prime \prime \prime \prime }+12 y^{\prime \prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.066
210	3069	\begin{align*} y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.066
211	3071	\begin{align*} y^{\prime \prime \prime }-7 y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.066
212	3078	\begin{align*} y^{\prime \prime \prime }-4 y^{\prime \prime }+3 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.066
213	3093	\begin{align*} 4 y^{\prime \prime \prime }-3 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.066
214	3095	\begin{align*} y^{\prime \prime \prime }-7 y^{\prime \prime }+16 y^{\prime }-12 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.066
215	4147	\begin{align*} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.066
216	4148	\begin{align*} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-9 y^{\prime \prime }-11 y^{\prime }-4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.066
217	4445	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.066
218	6600	\begin{align*} y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.066
219	18980	\begin{align*} y^{\prime \prime \prime }+y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.066
220	19225	\begin{align*} t x^{\prime }+6 x-y-3 z&=0 \\ y^{\prime } t +23 x-6 y-9 z&=0 \\ t z^{\prime }+x+y-2 z&=0 \\ \end{align*}	✗	✓	✓	✓	0.066
221	2711	\begin{align*} y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+6 y^{\prime \prime }+4 y^{\prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.067
222	3100	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime }-20 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.067
223	6665	\begin{align*} 2 y \left (2 f \left (x \right ) g \left (x \right )+g^{\prime }\left (x \right )\right )+\left (4 g \left (x \right )+f^{\prime }\left (x \right )+2 {f^{\prime }\left (x \right )}^{2}\right ) y^{\prime }+3 f \left (x \right ) y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\ \end{align*}	✗	✗	✗	✗	0.067
224	8970	\begin{align*} y^{\prime \prime \prime }-y x&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 0 \\ y^{\prime \prime }\left (0\right ) &= 0 \\ \end{align*}	✗	✓	✓	✗	0.067
225	12510	\begin{align*} \left (x^{2}-1\right ) y^{\prime \prime }-2 \left (v -1\right ) x y^{\prime }-2 v y&=0 \\ \end{align*}	✗	✓	✓	✗	0.067
226	289	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.068
227	2716	\begin{align*} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+y^{\prime \prime }+2 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.068
228	3067	\begin{align*} 2 y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.068
229	3080	\begin{align*} y^{\prime \prime \prime }-5 y^{\prime \prime }-2 y^{\prime }+24 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.068
230	4143	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.068
231	6747	\begin{align*} 10 f^{\prime }\left (x \right ) y^{\prime }+3 y \left (3 f \left (x \right )^{2}+f^{\prime \prime }\left (x \right )\right )+10 f \left (x \right ) y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✗	✗	✗	✗	0.068
232	6774	\begin{align*} -k y-\left (-a b c +x \right ) y^{\prime }+\left (a b +a c +b c +a +b +c +1\right ) x y^{\prime \prime }+\left (3+a +b +c \right ) x^{2} y^{\prime \prime \prime }+x^{3} y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✗	✓	✓	✗	0.068
233	17556	\begin{align*} y^{\left (5\right )}+4 y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.068
234	285	\begin{align*} y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.069
235	306	\begin{align*} 9 y^{\prime \prime \prime }+11 y^{\prime \prime }+4 y^{\prime }-14 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.069
236	953	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }+4 y^{\prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.069
237	1472	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.069
238	3068	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+12 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.069
239	3072	\begin{align*} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.069
240	3074	\begin{align*} y^{\prime \prime \prime }-9 y^{\prime \prime }+23 y^{\prime }-15 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.069
241	3089	\begin{align*} 2 y^{\prime \prime \prime }+y^{\prime \prime }-4 y^{\prime }-3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.069
242	3090	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.069
243	3092	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.069
244	3096	\begin{align*} 4 y^{\prime \prime \prime }-8 y^{\prime \prime }+5 y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.069
245	3823	\begin{align*} x_{1}^{\prime }&=-\tan \left (t \right ) x_{1}+3 \cos \left (t \right )^{2} \\ x_{2}^{\prime }&=x_{1}+\tan \left (t \right ) x_{2}+2 \sin \left (t \right ) \\ \end{align*} With initial conditions \begin{align*} x_{1} \left (0\right ) &= 4 \\ x_{2} \left (0\right ) &= 0 \\ \end{align*}	✗	✓	✓	✓	0.069
246	4443	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.069
247	4444	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }+9 y^{\prime }+9 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.069
248	17552	\begin{align*} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }-y^{\prime \prime }+54 y^{\prime }-72 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.069
249	17553	\begin{align*} y^{\prime \prime \prime \prime }+7 y^{\prime \prime \prime }+6 y^{\prime \prime }-32 y^{\prime }-32 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.069
250	18134	\begin{align*} y^{\prime \prime \prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.069
251	935	\begin{align*} 5 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.070
252	936	\begin{align*} y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+16 y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.070
253	954	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.070
254	1474	\begin{align*} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+4 y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.070
255	3073	\begin{align*} y^{\prime \prime \prime }-4 y^{\prime \prime }-17 y^{\prime }+60 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.070
256	17559	\begin{align*} y^{\prime \prime \prime \prime }+8 y^{\prime \prime }+16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.070
257	19175	\begin{align*} y^{\prime \prime \prime }+y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.070
258	300	\begin{align*} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime }-3 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.072
259	305	\begin{align*} 6 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }+25 y^{\prime \prime }+20 y^{\prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.072
260	3891	\begin{align*} x_{1}^{\prime }&=t \cot \left (t^{2}\right ) x_{1}+\frac {t \cos \left (t^{2}\right ) x_{3}}{2} \\ x_{2}^{\prime }&=\frac {x_{2}}{t}-x_{3}+2-t \sin \left (t \right ) \\ x_{3}^{\prime }&=\csc \left (t^{2}\right ) x_{1}+x_{2}-x_{3}+1-t \cos \left (t \right ) \\ \end{align*}	✗	✗	✗	✗	0.072
261	287	\begin{align*} 6 y^{\prime \prime \prime \prime }+11 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.073
262	304	\begin{align*} 3 y^{\prime \prime \prime }-2 y^{\prime \prime }+12 y^{\prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.073
263	3079	\begin{align*} 4 y^{\prime \prime \prime }+2 y^{\prime \prime }-4 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.073
264	17554	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime \prime }+8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.073
265	17558	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.073
266	17574	\begin{align*} y^{\prime \prime \prime \prime }+12 y^{\prime \prime \prime }+60 y^{\prime \prime }+124 y^{\prime }+75 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.073
267	18142	\begin{align*} y^{\prime \prime \prime \prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.073
268	17557	\begin{align*} y^{\left (5\right )}+3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.074
269	282	\begin{align*} y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.075
270	941	\begin{align*} y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.075
271	1481	\begin{align*} y^{\prime \prime \prime }+5 y^{\prime \prime }+6 y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.075
272	2146	\begin{align*} y^{\left (5\right )}+y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.075
273	4452	\begin{align*} y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+5 y^{\prime \prime }+5 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.075
274	18981	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.075
275	286	\begin{align*} y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
276	952	\begin{align*} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime }-3 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
277	3075	\begin{align*} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-7 y^{\prime \prime }-y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
278	3077	\begin{align*} 12 y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
279	3105	\begin{align*} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+10 y^{\prime }-15 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
280	3108	\begin{align*} 4 y^{\prime \prime \prime }+12 y^{\prime \prime }-3 y^{\prime }+14 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
281	4451	\begin{align*} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.076
282	3702	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.077
283	3794	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.077
284	417	\begin{align*} x^{3} y^{\prime }&=2 y \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.078
285	3070	\begin{align*} y^{\prime \prime \prime \prime }-6 y^{\prime \prime }+8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.078
286	19543	\begin{align*} y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.078
287	942	\begin{align*} 6 y^{\prime \prime \prime \prime }+11 y^{\prime \prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
288	1480	\begin{align*} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
289	3081	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-7 y^{\prime \prime }-8 y^{\prime }+12 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
290	3085	\begin{align*} -4 y+3 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
291	3699	\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
292	3700	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y^{\prime }-12 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
293	3701	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }-18 y^{\prime }-40 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
294	3703	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }-10 y^{\prime }+8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
295	4453	\begin{align*} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }+9 y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
296	6609	\begin{align*} y^{\prime \prime \prime }+y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.079
297	21001	\begin{align*} w_{1}^{\prime }&=w_{2} \\ w_{2}^{\prime }&=\frac {a w_{1}}{z^{2}} \\ \end{align*}	✗	✓	✓	✗	0.079
298	3106	\begin{align*} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+11 y^{\prime }-40 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.080
299	20810	\begin{align*} t x^{\prime }&=t -2 x \\ y^{\prime } t&=t x+t y+2 x-t \\ \end{align*}	✗	✓	✓	✓	0.080
300	1477	\begin{align*} y^{\left (6\right )}-y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.081