Problems 1 to 100

Table 5.819: Third and higher order linear ODE


#	ODE	Mathematica	Maple

249	\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓

250	\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0 \]	✓	✓

251	\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0 \]	✓	✓

252	\[ {}y^{\prime \prime \prime }-5 y^{\prime \prime }+8 y^{\prime }-4 y = 0 \]	✓	✓

253	\[ {}y^{\prime \prime \prime }+9 y^{\prime } = 0 \]	✓	✓

254	\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y = 0 \]	✓	✓

255	\[ {}x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 0 \]	✓	✓

256	\[ {}x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+4 x y^{\prime }-4 y = 0 \]	✓	✓

280	\[ {}5 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime } = 0 \]	✓	✓

281	\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+16 y^{\prime \prime } = 0 \]	✓	✓

282	\[ {}y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime } = 0 \]	✓	✓

283	\[ {}9 y^{\prime \prime \prime }+12 y^{\prime \prime }+4 y^{\prime } = 0 \]	✓	✓

284	\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-4 y = 0 \]	✓	✓

285	\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 0 \]	✓	✓

286	\[ {}y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y = 0 \]	✓	✓

287	\[ {}6 y^{\prime \prime \prime \prime }+11 y^{\prime \prime }+4 y = 0 \]	✓	✓

288	\[ {}y^{\prime \prime \prime \prime } = 16 y \]	✓	✓

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

290	\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓

294	\[ {}2 y^{\prime \prime \prime }-3 y^{\prime \prime }-2 y^{\prime } = 0 \]	✓	✓

295	\[ {}3 y^{\prime \prime \prime }+2 y^{\prime \prime } = 0 \]	✓	✓

296	\[ {}y^{\prime \prime \prime }+10 y^{\prime \prime }+25 y^{\prime } = 0 \]	✓	✓

297	\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y = 0 \]	✓	✓

298	\[ {}2 y^{\prime \prime \prime }-y^{\prime \prime }-5 y^{\prime }-2 y = 0 \]	✓	✓

299	\[ {}y^{\prime \prime \prime }+27 y = 0 \]	✓	✓

300	\[ {}y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime }-3 y^{\prime }-6 y = 0 \]	✓	✓

301	\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+4 y^{\prime }-8 y = 0 \]	✓	✓

302	\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y = 0 \]	✓	✓

303	\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-54 y = 0 \]	✓	✓

304	\[ {}3 y^{\prime \prime \prime }-2 y^{\prime \prime }+12 y^{\prime }-8 y = 0 \]	✓	✓

305	\[ {}6 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }+25 y^{\prime \prime }+20 y^{\prime }+4 y = 0 \]	✓	✓

306	\[ {}9 y^{\prime \prime \prime }+11 y^{\prime \prime }+4 y^{\prime }-14 y = 0 \]	✓	✓

307	\[ {}y^{\prime \prime \prime \prime } = y^{\prime \prime \prime } \]	✓	✓

308	\[ {}y^{\prime \prime \prime }-5 y^{\prime \prime }+100 y^{\prime }-500 y = 0 \]	✓	✓

312	\[ {}y^{\prime \prime \prime } = y \]	✓	✓

313	\[ {}y^{\prime \prime \prime \prime } = y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+2 y \]	✓	✓

314	\[ {}a \,x^{3} y^{\prime \prime \prime }+b \,x^{2} y^{\prime \prime }+c x y^{\prime }+y d = 0 \]	✓	✓

317	\[ {}x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+4 x y^{\prime } = 0 \]	✓	✓

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

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

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

321	\[ {}x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+7 x y^{\prime }+y = 0 \]	✓	✓

332	\[ {}y^{\prime \prime \prime }+4 y^{\prime } = 3 x -1 \]	✓	✓

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

335	\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y = x \,{\mathrm e}^{x} \]	✓	✓

336	\[ {}y^{\left (5\right )}+5 y^{\prime \prime \prime \prime }-y = 17 \]	✓	✓

339	\[ {}y^{\prime \prime \prime \prime }-y^{\prime \prime }+4 y = {\mathrm e}^{x}-{\mathrm e}^{2 x} x \]	✓	✓

340	\[ {}y^{\left (5\right )}+2 y^{\prime \prime \prime }+2 y^{\prime \prime } = 3 x^{2}-1 \]	✓	✓

341	\[ {}y^{\prime \prime \prime }-y = {\mathrm e}^{x}+7 \]	✓	✓

343	\[ {}y^{\left (5\right )}-y^{\prime \prime \prime } = {\mathrm e}^{x}+2 x^{2}-5 \]	✓	✓

345	\[ {}y^{\prime \prime \prime }-y^{\prime \prime }-12 y^{\prime } = x -2 x \,{\mathrm e}^{-3 x} \]	✓	✓

348	\[ {}y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = \sin \left (x \right )+\cos \left (2 x \right ) \]	✓	✓

349	\[ {}y^{\prime \prime \prime \prime }+9 y^{\prime \prime } = \left (x^{2}+1\right ) \sin \left (3 x \right ) \]	✓	✓

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

356	\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime } = x^{2} \]	✓	✓

357	\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = 1+x \,{\mathrm e}^{x} \]	✓	✓

359	\[ {}y^{\prime \prime \prime }+y^{\prime \prime } = x +{\mathrm e}^{-x} \]	✓	✓

360	\[ {}y^{\prime \prime \prime \prime }-y = 5 \]	✓	✓

361	\[ {}y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }-2 y = 8 x^{5} \]	✓	✓

362	\[ {}y^{\prime \prime \prime \prime }+4 y = \cos \left (x \right )^{3} \]	✓	✓

425	\[ {}y^{\prime \prime \prime } = y \]	✓	✓

545	\[ {}x^{\prime \prime \prime }+x^{\prime \prime }-6 x^{\prime } = 0 \]	✓	✓

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

547	\[ {}x^{\prime \prime \prime \prime }+x = 0 \]	✓	✓

548	\[ {}x^{\prime \prime \prime \prime }+13 x^{\prime \prime }+36 x = 0 \]	✓	✓

549	\[ {}x^{\prime \prime \prime \prime }+8 x^{\prime \prime }+16 x = 0 \]	✓	✓

550	\[ {}x^{\prime \prime \prime \prime }+2 x^{\prime \prime }+x = {\mathrm e}^{2 t} \]	✓	✓

935	\[ {}5 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime } = 0 \]	✓	✓

936	\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+16 y^{\prime \prime } = 0 \]	✓	✓

937	\[ {}y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime } = 0 \]	✓	✓

938	\[ {}9 y^{\prime \prime \prime }+12 y^{\prime \prime }+4 y^{\prime } = 0 \]	✓	✓

939	\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-4 y = 0 \]	✓	✓

940	\[ {}y^{\prime \prime \prime \prime }-16 y^{\prime \prime }+16 y = 0 \]	✓	✓

941	\[ {}y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y = 0 \]	✓	✓

942	\[ {}6 y^{\prime \prime \prime \prime }+11 y^{\prime \prime }+4 y = 0 \]	✓	✓

943	\[ {}y^{\prime \prime \prime \prime } = 16 y \]	✓	✓

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

945	\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓

946	\[ {}2 y^{\prime \prime \prime }-3 y^{\prime \prime }-2 y^{\prime } = 0 \]	✓	✓

947	\[ {}3 y^{\prime \prime \prime }+2 y^{\prime \prime } = 0 \]	✓	✓

948	\[ {}y^{\prime \prime \prime }+10 y^{\prime \prime }+25 y^{\prime } = 0 \]	✓	✓

949	\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y = 0 \]	✓	✓

950	\[ {}2 y^{\prime \prime \prime }-y^{\prime \prime }-5 y^{\prime }-2 y = 0 \]	✓	✓

951	\[ {}y^{\prime \prime \prime }+27 y = 0 \]	✓	✓

952	\[ {}y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime }-3 y^{\prime }-6 y = 0 \]	✓	✓

953	\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+4 y^{\prime }-8 y = 0 \]	✓	✓

954	\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y = 0 \]	✓	✓

955	\[ {}y^{\prime \prime \prime }-5 y^{\prime \prime }+100 y^{\prime }-500 y = 0 \]	✓	✓

956	\[ {}y^{\prime \prime \prime } = y \]	✓	✓

957	\[ {}y^{\prime \prime \prime \prime } = y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+2 y \]	✓	✓

958	\[ {}x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+4 x y^{\prime } = 0 \]	✓	✓

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

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

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

962	\[ {}x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+7 x y^{\prime }+y = 0 \]	✓	✓

1462	\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+3 y = t \]	✓	✓

1463	\[ {}t \left (t -1\right ) y^{\prime \prime \prime \prime }+{\mathrm e}^{t} y^{\prime \prime }+4 t^{2} y = 0 \]	✗	✗

1464	\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime } = 0 \]	✓	✓

1465	\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓

1466	\[ {}x y^{\prime \prime \prime }-y^{\prime \prime } = 0 \]	✓	✓

5.12.1 Problems 1 to 100