3.7.3 Problems 201 to 300

Table 3.457: Solved using series method

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ODE

Mathematica

Maple

1296

3x2y+2x(2x2+x+1)y+(8x2+2x)y=0

1297

x2(x2+3x+3)y+x(7x2+8x+5)y(9x22x+1)y=0

1298

4x2y+x(4x2+2x+7)y(7x24x+1)y=0

1299

12x2(1+x)y+x(3x2+35x+11)y(5x210x+1)y=0

1300

x2(10x2+x+5)y+x(48x2+3x+4)y+(36x2+x)y=0

1301

8x2y2x(x24x+3)y+(x2+6x+3)y=0

1302

18x2(1+x)y+3x(x2+11x+5)y(5x22x+1)y=0

1303

x(x2+x+3)y+(x2+x+4)y+xy=0

1304

10x2(2x2+x+1)y+x(66x2+13x+13)y(10x2+4x+1)y=0

1305

2x2y+x(2x+3)y(1x)y=0

1306

x2(x+3)y+x(5+4x)y(2x+1)y=0

1307

2x2y+x(5+x)y(23x)y=0

1308

3x2y+x(1+x)yy=0

1309

2x2yxy+(2x+1)y=0

1310

9x2y+9xy(3x+1)y=0

1311

3x2y+x(1+x)y(3x+1)y=0

1312

2x2(x+3)y+x(1+5x)y+(1+x)y=0

1313

x2(x+4)yx(13x)y+y=0

1314

2x2y+5xy+(1+x)y=0

1315

x2(3+4x)y+x(5+18x)y(112x)y=0

1316

6x2y+x(10x)y(2+x)y=0

1317

x2(8+x)y+x(2+3x)y+(1+x)y=0

1318

x2(3+4x)y+x(11+4x)y(3+4x)y=0

1319

2x2(2+3x)y+x(4+11x)y(1x)y=0

1320

x2(2+x)y+5x(1x)y(28x)y=0

1321

x2(x+6)y+x(11+4x)y+(2x+1)y=0

1322

8x2y+x(x2+2)y+y=0

1323

8x2(x2+1)y+2x(13x2+1)y+(9x2+1)y=0

1324

x2(x2+1)y2x(x2+2)y+4y=0

1325

x(x2+3)y+(x2+2)y8xy=0

1326

4x2(x2+1)y+x(19x2+7)y(14x2+1)y=0

1327

3x2(x2+2)y+x(11x2+1)y+(5x2+1)y=0

1328

2x2(x2+2)yx(7x2+12)y+(3x2+7)y=0

1329

2x2(x2+2)y+x(7x2+4)y(3x2+1)y=0

1330

2x2(2x2+1)y+5x(6x2+1)y(40x2+2)y=0

1331

3x2(x2+1)y+5x(x2+1)y(5x2+1)y=0

1332

x(x2+1)y+(7x2+4)y+8xy=0

1333

x2(x2+2)y+x(x2+3)yy=0

1334

2x2(x2+1)y+x(8x2+3)y(4x2+3)y=0

1335

9x2y+3x(x2+3)y(5x2+1)y=0

1336

6x2y+x(6x2+1)y+(9x2+1)y=0

1337

x2(x2+8)y+7x(x2+2)y(9x2+2)y=0

1338

9x2(x2+1)y+3x(13x2+3)y(25x2+1)y=0

1339

4x2(x2+1)y+4x(6x2+1)y(25x2+1)y=0

1340

8x2(2x2+1)y+2x(34x2+5)y(30x2+1)y=0

1341

2x2(1+x)yx(13x)y+y=0

1342

6x2(2x2+1)y+x(50x2+1)y+(30x2+1)y=0

1343

28x2(13x)y7x(5+9x)y+7(2+9x)y=0

1344

9x2(5+x)y+9x(5+9x)y(58x)y=0

1345

8x2(x2+2)y+2x(21x2+10)y(35x2+2)y=0

1346

4x2(x2+3x+1)y4x(3x23x+1)y+3(x2x+1)y=0

1347

3x2(1+x)2yx(11x210x+1)y+(5x2+1)y=0

1348

4x2(x2+2x+3)yx(15x214x+3)y+(7x2+3)y=0

1349

x2(x22x+1)yx(x+3)y+(x+4)y=0

1350

2x2(2+x)y+5x2y+(1+x)y=0

1351

x2(x2+2)y2x(2x2+1)y+(2x2+2)y=0

1352

x2yx(5x)y+(94x)y=0

1353

x2yx(1x)y+(x2+1)y=0

1354

x2(2x2+x+1)y+x(7x2+6x+3)y+(3x2+6x+1)y=0

1355

x2(x2+2x+1)y+x(4x2+3x+1)yx(2x+1)y=0

1356

4x2(x2+x+1)y+12x2(1+x)y+(3x2+3x+1)y=0

1357

x2(x2+x+1)yx(2x24x+1)y+y=0

1358

9x2y+3x(2x2+3x+5)y+(14x2+12x+1)y=0

1359

x2y+x(x2+x+1)y+x(2x)y=0

1360

x2(2x+1)y+x(3x2+14x+5)y+(12x2+18x+4)y=0

1361

4x2y+2x(x2+x+4)y+(3x2+5x+1)y=0

1362

16x2y+4x(2x2+x+6)y+(18x2+5x+1)y=0

1363

9x2(1+x)y+3x(x2+11x+5)y+(7x2+16x+1)y=0

1364

4x2y+(1+4x)y=0

1365

36x2(2x+1)y+24x(19x)y+(170x)y=0

1366

x2(1+x)yx(3x)y+4y=0

1367

x2(2x+1)yx(54x)y+(94x)y=0

1368

25x2y+x(15+x)y+(1+x)y=0

1369

2x2(2+x)y+x2y+(1x)y=0

1370

x2(9+4x)y+3xy+(1+x)y=0

1371

x2yx(32x)y+(3x+4)y=0

1372

x2(14x)y+3x(16x)y+(112x)y=0

1373

x2(2x+1)y+x(3+5x)y+(2x+1)y=0

1374

2x2(1+x)yx(6x)y+(8x)y=0

1375

x2(2x+1)y+x(5+9x)y+(3x+4)y=0

1376

x2(2x+1)yx(5+4x)y+(9+4x)y=0

1377

x2(1+4x)yx(14x)y+(1+x)y=0

1378

x2(1+x)y+x(2x+1)y+xy=0

1379

x2(1x)y+x(7+x)y+(9x)y=0

1380

x2yx(x2+1)y+(x2+1)y=0

1381

x2(x2+1)y3x(x2+1)y+4y=0

1382

4x2y+2x3y+(3x2+1)y=0

1383

x2(x2+1)yx(2x2+1)y+y=0

1384

2x2(x2+2)y+7x3y+(3x2+1)y=0

1385

x2(x2+1)yx(4x2+1)y+(2x2+1)y=0

1386

4x2(x2+4)y+3x(3x2+8)y+(9x2+1)y=0

1387

3x2(x2+3)y+x(11x2+3)y+(5x2+1)y=0

1388

4x2(4x2+1)y+32x3y+y=0

1389

9x2y3x(2x2+7)y+(2x2+25)y=0

1390

x2(2x2+1)y+x(7x2+3)y+(3x2+1)y=0

1391

x2(x2+1)y+x(8x2+3)y+(12x2+1)y=0

1392

x2yx(x2+1)y+(x2+1)y=0

1393

x2(2x2+1)y+x(9x2+5)y+(3x2+4)y=0

1394

x2(x2+2)y+x(x2+14)y+2(x2+9)y=0

1395

x2(x2+1)y+x(7x2+3)y+(8x2+1)y=0