2.2.98 Problems 9701 to 9800

Table 2.197: Main lookup table. Sorted sequentially by problem number.

#

ODE

CAS classification

Solved?

time (sec)

9701

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

[[_2nd_order, _with_linear_symmetries]]

0.529

9702

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

[[_2nd_order, _with_linear_symmetries]]

0.532

9703

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

[[_2nd_order, _with_linear_symmetries]]

0.539

9704

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

[[_2nd_order, _with_linear_symmetries]]

0.387

9705

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

[[_2nd_order, _with_linear_symmetries]]

0.646

9706

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

[[_2nd_order, _with_linear_symmetries]]

0.278

9707

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

[[_2nd_order, _with_linear_symmetries]]

0.283

9708

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

[[_2nd_order, _with_linear_symmetries]]

0.272

9709

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

[[_2nd_order, _with_linear_symmetries]]

0.282

9710

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

[[_2nd_order, _with_linear_symmetries]]

0.209

9711

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

[[_2nd_order, _with_linear_symmetries]]

0.256

9712

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

[[_2nd_order, _with_linear_symmetries]]

0.283

9713

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

[[_2nd_order, _with_linear_symmetries]]

0.522

9714

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

[[_2nd_order, _with_linear_symmetries]]

0.314

9715

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

[[_2nd_order, _with_linear_symmetries]]

0.487

9716

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

[[_2nd_order, _with_linear_symmetries]]

0.571

9717

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

[[_2nd_order, _with_linear_symmetries]]

1.059

9718

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

[[_2nd_order, _with_linear_symmetries]]

1.136

9719

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

[[_2nd_order, _with_linear_symmetries]]

0.635

9720

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

[[_2nd_order, _with_linear_symmetries]]

0.698

9721

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

[[_2nd_order, _with_linear_symmetries]]

0.615

9722

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

[[_2nd_order, _with_linear_symmetries]]

0.555

9723

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

[[_2nd_order, _with_linear_symmetries]]

0.489

9724

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

[[_2nd_order, _with_linear_symmetries]]

0.323

9725

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

[[_2nd_order, _with_linear_symmetries]]

0.378

9726

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

[[_2nd_order, _with_linear_symmetries]]

0.377

9727

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

[[_2nd_order, _with_linear_symmetries]]

0.347

9728

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

[[_2nd_order, _with_linear_symmetries]]

0.349

9729

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

[[_2nd_order, _with_linear_symmetries]]

0.375

9730

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

[[_2nd_order, _with_linear_symmetries]]

0.414

9731

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

[[_2nd_order, _with_linear_symmetries]]

0.385

9732

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

[[_2nd_order, _with_linear_symmetries]]

0.493

9733

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

[[_2nd_order, _with_linear_symmetries]]

0.374

9734

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

[[_2nd_order, _with_linear_symmetries]]

0.417

9735

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

[[_2nd_order, _with_linear_symmetries]]

0.520

9736

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

[[_2nd_order, _with_linear_symmetries]]

0.384

9737

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

[[_2nd_order, _with_linear_symmetries]]

0.558

9738

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

[[_2nd_order, _with_linear_symmetries]]

0.499

9739

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

[[_2nd_order, _with_linear_symmetries]]

0.405

9740

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

[[_2nd_order, _with_linear_symmetries]]

0.454

9741

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

[[_2nd_order, _with_linear_symmetries]]

0.336

9742

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

[[_2nd_order, _with_linear_symmetries]]

0.344

9743

x2(1x)yx(35x)y+(45x)y=0

[[_2nd_order, _with_linear_symmetries]]

0.327

9744

x2(x2+1)yx(9x2+1)y+(25x2+1)y=0

[[_2nd_order, _with_linear_symmetries]]

0.492

9745

9x2y+3x(x2+1)y+(7x2+1)y=0

[[_2nd_order, _with_linear_symmetries]]

1.128

9746

x(x2+1)y+(x2+1)y8xy=0

[[_2nd_order, _exact, _linear, _homogeneous]]

0.550

9747

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

[[_2nd_order, _with_linear_symmetries]]

0.676

9748

4x2(x+1)y+8x2y+(x+1)y=0

[[_2nd_order, _with_linear_symmetries]]

0.257

9749

9(3+x)x2y+3x(3+7x)y+(4x+3)y=0

[[_2nd_order, _with_linear_symmetries]]

0.328

9750

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

[[_2nd_order, _with_linear_symmetries]]

0.277

9751

16x2(x2+1)y+8x(9x2+1)y+(49x2+1)y=0

[[_2nd_order, _with_linear_symmetries]]

0.329

9752

x2(3x+4)yx(43x)y+4y=0

[[_2nd_order, _with_linear_symmetries]]

0.277

9753

4x2(x2+3x+1)y+8x2(2x+3)y+(9x2+3x+1)y=0

[[_2nd_order, _with_linear_symmetries]]

0.255

9754

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

[[_2nd_order, _with_linear_symmetries]]

0.283

9755

9x2(x2+x+1)y+3x(13x2+7x+1)y+(25x2+4x+1)y=0

[[_2nd_order, _with_linear_symmetries]]

0.456

9756

2x2(x+2)yx(47x)y(53x)y=0

[[_2nd_order, _with_linear_symmetries]]

0.346

9757

x2(2x+1)y+x(89x)y+(63x)y=0

[[_2nd_order, _with_linear_symmetries]]

0.453

9758

x2(x2+1)y+x(10x2+3)y(14x2+15)y=0

[[_2nd_order, _with_linear_symmetries]]

0.557

9759

x2(2x2+1)y+x(13x2+7)y14x2y=0

[[_2nd_order, _with_linear_symmetries]]

0.481

9760

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

[[_2nd_order, _with_linear_symmetries]]

0.322

9761

2x2(3x+2)y+x(4+21x)y(19x)y=0

[[_2nd_order, _with_linear_symmetries]]

0.342

9762

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

[[_2nd_order, _with_linear_symmetries]]

0.364

9763

4x2(x+1)y+4x(3+8x)y(549x)y=0

[[_2nd_order, _with_linear_symmetries]]

0.316

9764

x2(x+1)yx(3+10x)y+30xy=0

[[_2nd_order, _with_linear_symmetries]]

0.345

9765

x2y+x(x+1)y3(3+x)y=0

[[_2nd_order, _with_linear_symmetries]]

0.476

9766

x2(2x+1)y+x(9+13x)y+(7+5x)y=0

[[_2nd_order, _with_linear_symmetries]]

0.371

9767

4x2(2x+1)y2x(4x)y(7+5x)y=0

[[_2nd_order, _with_linear_symmetries]]

0.323

9768

3(3+x)x2yx(15+x)y20y=0

[[_2nd_order, _with_linear_symmetries]]

0.341

9769

x2(x+1)y+x(110x)y(910x)y=0

[[_2nd_order, _with_linear_symmetries]]

0.421

9770

x2(x+1)y+3x2y(6x)y=0

[[_2nd_order, _with_linear_symmetries]]

0.359

9771

x2(2x+1)y2x(3+14x)y+(6+100x)y=0

[[_2nd_order, _with_linear_symmetries]]

0.380

9772

x2(x+1)yx(6+11x)y+(6+32x)y=0

[[_2nd_order, _with_linear_symmetries]]

0.344

9773

4x2(x+1)y+4x(1+4x)y(49+27x)y=0

[[_2nd_order, _with_linear_symmetries]]

0.317

9774

x2(x2+1)yx(2x2+7)y+12y=0

[[_2nd_order, _with_linear_symmetries]]

0.447

9775

x2yx(x2+7)y+12y=0

[[_2nd_order, _with_linear_symmetries]]

0.489

9776

x2y+x(2x2+1)y(10x2+1)y=0

[[_2nd_order, _with_linear_symmetries]]

0.495

9777

x2y+x(2x2+1)y4(2x2+1)y=0

[[_2nd_order, _with_linear_symmetries]]

0.480

9778

x2y+x(3x2+1)y4(3x2+1)y=0

[[_2nd_order, _with_linear_symmetries]]

0.780

9779

x2(x2+1)y+x(11x2+5)y+24x2y=0

[[_2nd_order, _with_linear_symmetries]]

0.568

9780

4x2(x2+1)y+8yx(x2+35)y=0

[[_2nd_order, _with_linear_symmetries]]

0.540

9781

x2(x2+1)yx(x2+5)y(25x2+7)y=0

[[_2nd_order, _with_linear_symmetries]]

0.514

9782

x2(x2+1)y+x(2x2+5)y21y=0

[[_2nd_order, _with_linear_symmetries]]

0.543

9783

4x2(x2+1)y+4x(x2+2)y(x2+15)y=0

[[_2nd_order, _with_linear_symmetries]]

0.424

9784

y2(1+t)yt2+2t1+2yt2+2t1=0

[[_2nd_order, _with_linear_symmetries]]

0.433

9785

y4yt+(4t22)y=0

[[_2nd_order, _with_linear_symmetries]]

0.137

9786

(t2+1)y2yt+2y=0

[_Gegenbauer]

0.361

9787

(t2+1)y2yt+2y=0

[[_2nd_order, _with_linear_symmetries]]

0.479

9788

(t2+1)y2yt+6y=0

[_Gegenbauer]

0.438

9789

(2t+1)y4(1+t)y+4y=0

[[_2nd_order, _with_linear_symmetries]]

0.346

9790

t2y+yt+(t214)y=0

[[_2nd_order, _with_linear_symmetries]]

0.267

9791

y2tyt2+1+2yt2+1=0

[[_2nd_order, _with_linear_symmetries]]

0.451

9792

y+(t2+2t+1)y(4+4t)y=0

[[_2nd_order, _with_linear_symmetries]]

0.435

9793

2ty+(12t)yy=0

[_Laguerre]

0.403

9794

2ty+(1+t)y2y=0

[[_2nd_order, _with_linear_symmetries]]

0.617

9795

2t2yyt+(1+t)y=0

[[_2nd_order, _with_linear_symmetries]]

0.345

9796

2t2y+(t2t)y+y=0

[[_2nd_order, _with_linear_symmetries]]

0.359

9797

t2y+(t2+t)yy=0

[[_2nd_order, _with_linear_symmetries]]

0.323

9798

ty(t2+2)y+ty=0

[_Lienard]

0.378

9799

t2y+t(1+t)yy=0

[[_2nd_order, _with_linear_symmetries]]

0.399

9800

ty(t+4)y+2y=0

[_Laguerre]

0.368