2.4.3 second order euler ode

Table 2.457: second order euler ode

#

ODE

ODE classification

Solved?

152

x2y+3yx=2

[[_2nd_order, _missing_y]]

227

x2y2yx+2y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

228

x2y+2yx6y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

229

x2yyx+y=0
i.c.

[[_Emden, _Fowler]]

230

x2y+yx+y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

244

x2y+yxy=0

[[_2nd_order, _exact, _linear, _homogeneous]]

245

x2y+2yx12y=0

[[_Emden, _Fowler]]

246

4x2y+8yx3y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

247

x2y+yx=0

[[_2nd_order, _missing_y]]

248

x2y3yx+4y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

262

x2y2yx+2y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

315

x2y+yx+9y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

316

x2y+7yx+25y=0

[[_Emden, _Fowler]]

376

x2y+yxy=72x5

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

377

x2y4yx+6y=x3

[[_2nd_order, _with_linear_symmetries]]

378

x2y3yx+4y=x4

[[_2nd_order, _with_linear_symmetries]]

379

4x2y4yx+3y=8x4/3

[[_2nd_order, _with_linear_symmetries]]

380

x2y+yx+y=ln(x)

[[_2nd_order, _with_linear_symmetries]]

819

x2y2yx+2y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

820

x2y+2yx6y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

821

x2yyx+y=0
i.c.

[[_Emden, _Fowler]]

822

x2y+yx+y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

833

x2y+yxy=0

[[_2nd_order, _exact, _linear, _homogeneous]]

834

x2y+2yx12y=0

[[_Emden, _Fowler]]

835

4x2y+8yx3y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

836

x2y+yx=0

[[_2nd_order, _missing_y]]

837

x2y3yx+4y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

860

x2y+yx+9y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

861

x2y+7yx+25y=0

[[_Emden, _Fowler]]

902

x2y+yxy=72x5

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

903

x2y4yx+6y=x3

[[_2nd_order, _with_linear_symmetries]]

904

x2y3yx+4y=x4

[[_2nd_order, _with_linear_symmetries]]

905

4x2y4yx+3y=8x4/3

[[_2nd_order, _with_linear_symmetries]]

906

x2y+yx+y=ln(x)

[[_2nd_order, _with_linear_symmetries]]

1293

t2y+yt+y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

1294

t2y+4yt+2y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

1295

t2y+3yt+5y4=0

[[_Emden, _Fowler]]

1296

t2y4yt6y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

1297

t2y4yt+6y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

1298

t2yyt+5y=0

[[_Emden, _Fowler]]

1299

t2y+3yt3y=0

[[_Emden, _Fowler]]

1300

t2y+7yt+10y=0

[[_Emden, _Fowler]]

1327

t2y3yt+4y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

1328

t2y+2yt+y4=0

[[_Emden, _Fowler]]

1329

2t2y5yt+5y=0

[[_Emden, _Fowler]]

1330

t2y+3yt+y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

1331

4t2y8yt+9y=0

[[_Emden, _Fowler]]

1332

t2y+5yt+13y=0

[[_Emden, _Fowler]]

1345

t2y2y=3t21

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

1349

x2y3yx+4y=x2ln(x)

[[_2nd_order, _linear, _nonhomogeneous]]

1351

t2y2yt+2y=4t2

[[_2nd_order, _with_linear_symmetries]]

1352

t2y+7yt+5y=t

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

1746

x2y+yxy=0

[[_2nd_order, _exact, _linear, _homogeneous]]

1747

x2yyx+y=0

[[_Emden, _Fowler]]

1748

x2y(2a1)xy+a2y=0

[[_Emden, _Fowler]]

1811

x2y+yxy=2x2+2

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

1815

x2y4yx+6y=x5/2

[[_2nd_order, _with_linear_symmetries]]

1816

x2y3yx+3y=2x4sin(x)

[[_2nd_order, _with_linear_symmetries]]

1820

x2y(2a1)xy+a2y=xa+1

[[_2nd_order, _with_linear_symmetries]]

1828

x2yyx3y=x3/2

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

1835

(x1)2y2(x1)y+2y=(x1)2
i.c.

[[_2nd_order, _with_linear_symmetries]]

1838

x2y+2yx2y=2x2
i.c.

[[_2nd_order, _with_linear_symmetries]]

2362

2t2y+3yty=0
i.c.

[[_2nd_order, _exact, _linear, _homogeneous]]

2373

t2y+αty+βy=0

[[_Emden, _Fowler]]

2374

t2y+5yt5y=0

[[_Emden, _Fowler]]

2375

t2yyt2y=0
i.c.

[[_Emden, _Fowler]]

2385

t2y+yt+y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

2386

t2y+2yt+2y=0

[[_Emden, _Fowler]]

2400

t2y+3yt+y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

2401

t2yyt+y=0

[[_Emden, _Fowler]]

2431

t2y5yt+9y=0

[[_Emden, _Fowler]]

2432

t2y+5yt5y=0

[[_Emden, _Fowler]]

2433

2t2y+3yty=0

[[_2nd_order, _exact, _linear, _homogeneous]]

2434

(t1)2y2(t1)y+2y=0

[[_2nd_order, _with_linear_symmetries], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

2435

t2y+3yt+y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

2436

t2yyt+y=0

[[_Emden, _Fowler]]

2437

(t2)2y+5(t2)y+4y=0

[[_2nd_order, _with_linear_symmetries]]

2438

t2y+yt+y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

2439

t2yyt+2y=0
i.c.

[[_Emden, _Fowler]]

2440

t2y3yt+4y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

2543

2t2y+3yty=0
i.c.

[[_2nd_order, _exact, _linear, _homogeneous]]

2554

t2y+αty+βy=0

[[_Emden, _Fowler]]

2555

t2y+5yt2y=0
i.c.

[[_Emden, _Fowler]]

2565

t2y+yt+y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

2566

t2y+2yt+2y=0

[[_Emden, _Fowler]]

2581

t2y+3yt+y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

2582

t2yyt+y=0

[[_Emden, _Fowler]]

2591

t2y2y=t2

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

2628

t2y+5yt5y=0

[[_Emden, _Fowler]]

2629

2t2y+3yty=0

[[_2nd_order, _exact, _linear, _homogeneous]]

2630

(t1)2y2(t1)y+2y=0

[[_2nd_order, _with_linear_symmetries], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

2631

t2y+3yt+y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

2632

t2yyt+y=0

[[_Emden, _Fowler]]

2633

(t2)2y+5(t2)y+4y=0

[[_2nd_order, _with_linear_symmetries]]

2634

t2y+yt+y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

2635

t2y+3yt+2y=0

[[_Emden, _Fowler]]

2636

t2yyt2y=0
i.c.

[[_Emden, _Fowler]]

2637

t2y3yt+4y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

3221

x2y4yx+y=0

[[_Emden, _Fowler]]

3222

x2y+yx+16y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

3223

4x2y16yx+25y=0

[[_Emden, _Fowler]]

3224

x2y+5yx+10y=0

[[_Emden, _Fowler]]

3225

2x2y3yx18y=ln(x)

[[_2nd_order, _with_linear_symmetries]]

3226

2x2y3yx+2y=ln(x2)

[[_2nd_order, _with_linear_symmetries]]

3227

x2y3yx+4y=x3

[[_2nd_order, _with_linear_symmetries]]

3228

x2y+3yx+y=1x

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

3230

x2y2yx+2y=4x+sin(ln(x))

[[_2nd_order, _with_linear_symmetries]]

3231

x2yyx+2y=x2ln(x)

[[_2nd_order, _linear, _nonhomogeneous]]

3232

x2y+4yx+3y=(x1)ln(x)

[[_2nd_order, _linear, _nonhomogeneous]]

3255

x2y=yx+1

[[_2nd_order, _missing_y]]

3493

x2yyx+y=x

[[_2nd_order, _with_linear_symmetries]]

3494

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

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

3565

x2y+5yx+3y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

3566

x2y3yx+4y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

3567

x2y3yx+13y=0

[[_Emden, _Fowler]]

3568

2x2yyx+y=9x2

[[_2nd_order, _with_linear_symmetries]]

3569

x2y4yx+6y=x4sin(x)

[[_2nd_order, _linear, _nonhomogeneous]]

3575

x2y+yxy=0

[[_2nd_order, _exact, _linear, _homogeneous]]

3576

x2y+5yx+4y=0

[[_Emden, _Fowler]]

3591

x2yyx8y=0

[[_Emden, _Fowler]]

3592

x2y3yx+4y=x2ln(x)

[[_2nd_order, _linear, _nonhomogeneous]]

3707

x2y+3yx8y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

3708

2x2y+5yx+y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

3773

x2y+4yx+2y=4ln(x)

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

3774

x2y+4yx+2y=cos(x)

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

3775

x2y+yx+9y=9ln(x)

[[_2nd_order, _with_linear_symmetries]]

3776

x2yyx+5y=8xln(x)2

[[_2nd_order, _linear, _nonhomogeneous]]

3777

x2y4yx+6y=x4sin(x)

[[_2nd_order, _linear, _nonhomogeneous]]

3778

x2y+6yx+6y=4e2x

[[_2nd_order, _linear, _nonhomogeneous]]

3779

x2y3yx+4y=x2ln(x)

[[_2nd_order, _linear, _nonhomogeneous]]

3780

x2y(2m1)xy+m2y=xmln(x)k

[[_2nd_order, _linear, _nonhomogeneous]]

3781

x2yyx+5y=0
i.c.

[[_Emden, _Fowler]]

3782

t2y+yt+25y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

4140

x2y2yx+2y=x2+2

[[_2nd_order, _with_linear_symmetries]]

4509

x2yyx+y=ln(x)

[[_2nd_order, _with_linear_symmetries]]

4510

x2y+3yx+5y=5ln(x)x2

[[_2nd_order, _linear, _nonhomogeneous]]

4512

(x2)2y3(x2)y+4y=x

[[_2nd_order, _with_linear_symmetries]]

5990

x2yyx+y=x

[[_2nd_order, _with_linear_symmetries]]

5991

y2yx+2yx2=xln(x)

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

5992

x2y+yx4y=x3

[[_2nd_order, _with_linear_symmetries]]

5993

x2y+yxy=x2ex

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

5994

2x2y+3yxy=1x

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

5998

x2y+yx=1

[[_2nd_order, _missing_y]]

6014

x2y+yx=1
i.c.

[[_2nd_order, _missing_y]]

6026

x2y2yx+2y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

6192

x2y+3yx3y=0

[[_Emden, _Fowler]]

6193

x2y+yx4y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

6194

x2y+7yx+9y=0

[[_Emden, _Fowler]]

6195

x2yyx+6y=0

[[_Emden, _Fowler]]

6196

x2y+yx16y=8x4

[[_2nd_order, _with_linear_symmetries]]

6197

x2y+yxy=x1x

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

6198

x2y5yx+9y=2x3

[[_2nd_order, _with_linear_symmetries]]

6199

x2y3yx+4y=6x2ln(x)

[[_2nd_order, _linear, _nonhomogeneous]]

6200

x2y+y=3x2

[[_2nd_order, _with_linear_symmetries]]

6201

x2y+yx+y=2x

[[_2nd_order, _with_linear_symmetries]]

6215

x2yyx+y=x

[[_2nd_order, _with_linear_symmetries]]

6249

x2y3yx+3y=0

[[_Emden, _Fowler]]

6409

x2y+yx9y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

6411

x2yyx+y=0

[[_Emden, _Fowler]]

6532

t2N2tN+2N=tln(t)

[[_2nd_order, _with_linear_symmetries]]

6540

y+yxyx2=ln(x)

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

6541

x2yyx=x3ex

[[_2nd_order, _missing_y]]

6695

x2y3yx+4y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

6749

x2y3yx+4y=x+x2ln(x)

[[_2nd_order, _linear, _nonhomogeneous]]

6750

x2y2yx+2y=ln(x)2ln(x2)

[[_2nd_order, _with_linear_symmetries]]

6753

(x+1)2y+(x+1)yy=ln(x+1)2+x1

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

6754

(2x+1)2y2(2x+1)y12y=6x

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

6767

xy3y+3yx=x+2

[[_2nd_order, _with_linear_symmetries]]

6911

4x2y+y=0

[[_Emden, _Fowler]]

6912

x2y7yx+15y=0

[[_Emden, _Fowler]]

6998

x2y+yx+y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

6999

x2y+yx+y=sec(ln(x))

[[_2nd_order, _linear, _nonhomogeneous]]

7479

y+yxyx2=0

[[_2nd_order, _exact, _linear, _homogeneous]]

7487

x2y+2yx+4y=0

[[_Emden, _Fowler]]

7492

x2y+yxy=x2+2x

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

7524

px2u+qxu+ru=f(x)

[[_2nd_order, _linear, _nonhomogeneous]]

7674

y+yxyx2=0
i.c.

[[_2nd_order, _exact, _linear, _homogeneous]]

7675

y+yxyx2=0
i.c.

[[_2nd_order, _exact, _linear, _homogeneous]]

7676

(3x1)2y+(9x3)y9y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

7699

x2y+2yx6y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

7700

2x2y+yxy=0

[[_Emden, _Fowler]]

7701

x2y+yx4y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

7702

x2y5yx+9y=x2

[[_2nd_order, _with_linear_symmetries]]

7704

x2y+yx+4y=1

[[_2nd_order, _with_linear_symmetries]]

7705

x2y3yx+5y=0

[[_Emden, _Fowler]]

7706

x2y+(2i)xy+3iy=0

[[_Emden, _Fowler]]

7707

x2y+yx4πy=x

[[_2nd_order, _with_linear_symmetries]]

7961

x2y+3yx+10y=0

[[_Emden, _Fowler]]

7962

2x2y+10yx+8y=0

[[_Emden, _Fowler]]

7963

x2y+2yx12y=0

[[_Emden, _Fowler]]

7964

4x2y3y=0

[[_Emden, _Fowler]]

7965

x2y3yx+4y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

7966

x2y+2yx6y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

7967

x2y+2yx+3y=0

[[_Emden, _Fowler]]

7968

x2y+yx2y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

7969

x2y+yx16y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

8004

x2y2yx+2y=xex

[[_2nd_order, _with_linear_symmetries]]

8061

x2y+3yx+y=2x

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

8067

x2y2yx+2y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

8606

2x2y+yxy=0

[[_Emden, _Fowler]]

8607

2x2y3yx+2y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

8608

9x2y+2y=0

[[_Emden, _Fowler]]

8609

2x2y+5yx2y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

8610

x2y+2yx12y=0

[[_Emden, _Fowler]]

8611

x2y+yx9y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

8612

x2y3yx+4y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

8613

x2y5yx+9y=0

[[_Emden, _Fowler]]

8614

x2y+5yx+5y=0

[[_Emden, _Fowler]]

8761

t2y3yt+5y=0

[[_Emden, _Fowler]]

8873

x4y+x3y4x2y=1

[[_2nd_order, _with_linear_symmetries]]

8874

x4y+x3y4x2y=x

[[_2nd_order, _with_linear_symmetries]]

8875

x2y+yx4y=x

[[_2nd_order, _with_linear_symmetries]]

8888

4x2y+y=8x(1+ln(x))

[[_2nd_order, _linear, _nonhomogeneous]]

9137

y2yx2=xex

[[_2nd_order, _linear, _nonhomogeneous]]

9142

x2y3yx+3y=2x3x2

[[_2nd_order, _with_linear_symmetries]]

9169

x2y4yx+6y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

11128

x2y6y=0

[[_Emden, _Fowler]]

11129

x2y12y=0

[[_Emden, _Fowler]]

11130

x2y+ay=0

[[_Emden, _Fowler]]

11141

x2y+yxyax2=0

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

11142

x2y+yx+ay=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

11148

x2yyx+y3x3=0

[[_2nd_order, _with_linear_symmetries]]

11150

x2y+2yx=0

[[_2nd_order, _missing_y]]

11156

x2y2yx+2yx5ln(x)=0

[[_2nd_order, _with_linear_symmetries]]

11157

x2y2yx4yxsin(x)(ax2+12a+4)cos(x)=0

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

11164

x2y3yx+4y5x=0

[[_2nd_order, _with_linear_symmetries]]

11165

x2y3yx5yx2ln(x)=0

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

11166

x2y4yx+6yx4+x2=0

[[_2nd_order, _linear, _nonhomogeneous]]

11168

x2y5yx+8ysin(x)x3=0

[[_2nd_order, _linear, _nonhomogeneous]]

11169

x2y+axy+by=0

[[_Emden, _Fowler]]

11246

(x2)2y(x2)y3y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

11251

4x2y+y=0

[[_Emden, _Fowler]]

11259

4x2y+5yxyln(x)=0

[[_2nd_order, _with_linear_symmetries]]

11264

(2x+1)2y2(2x+1)y12y3x1=0

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

11266

(3x1)2y+3(3x1)y9yln(3x1)2=0

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

11287

x3yx2y+xyln(x)3=0

[[_2nd_order, _with_linear_symmetries]]

11289

x3y+3x2y+xy1=0

[[_2nd_order, _with_linear_symmetries]]

12531

x2y+ay=0

[[_Emden, _Fowler]]

12544

x2y+axy+by=0

[[_Emden, _Fowler]]

12879

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

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

12880

(x+1)2y(x+1)y+6y=x

[[_2nd_order, _with_linear_symmetries]]

12929

x2y+3yx+y=x

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

12930

(x1)2y+4(x1)y+2y=cos(x)

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

12961

t2x6x=0

[[_Emden, _Fowler]]

13083

x=xt2

[[_Emden, _Fowler]]

13084

x=4xt2

[[_Emden, _Fowler]]

13085

t2x+3xt+x=0

[[_2nd_order, _exact, _linear, _homogeneous]]

13086

tx+4x+2xt=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

13087

t2x7xt+16x=0

[[_Emden, _Fowler]]

13088

t2x+3xt8x=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

13089

t2x+xt=0
i.c.

[[_2nd_order, _missing_y]]

13090

t2xxt+2x=0
i.c.

[[_Emden, _Fowler]]

13095

t2x2x=t3

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

13099

t2x3xt+3x=4t7

[[_2nd_order, _with_linear_symmetries]]

13323

x2y2yx+2y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

13324

x2y+yx4y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

13452

x2y6yx+10y=3x4+6x3

[[_2nd_order, _linear, _nonhomogeneous]]

13453

(x+1)2y2(x+1)y+2y=1

[[_2nd_order, _with_linear_symmetries]]

13460

x2y3yx+3y=0

[[_Emden, _Fowler]]

13461

x2y+yx4y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

13462

4x2y4yx+3y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

13463

x2y3yx+4y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

13464

x2y+yx+4y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

13465

x2y3yx+13y=0

[[_Emden, _Fowler]]

13466

3x2y4yx+2y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

13467

x2y+yx+9y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

13468

9x2y+3yx+y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

13469

x2y5yx+10y=0

[[_Emden, _Fowler]]

13473

x2y4yx+6y=4x6

[[_2nd_order, _with_linear_symmetries]]

13474

x2y5yx+8y=2x3

[[_2nd_order, _with_linear_symmetries]]

13475

x2y+4yx+2y=4ln(x)

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

13476

x2y+yx+4y=2xln(x)

[[_2nd_order, _with_linear_symmetries]]

13477

x2y+yx+4y=4sin(ln(x))

[[_2nd_order, _linear, _nonhomogeneous]]

13479

x2y2yx10y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

13480

x2y4yx+6y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

13481

x2y+5yx+3y=0
i.c.

[[_2nd_order, _exact, _linear, _homogeneous]]

13482

x2y2y=4x8
i.c.

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

13483

x2y4yx+4y=6x3+4x2
i.c.

[[_2nd_order, _with_linear_symmetries]]

13484

x2y+2yx6y=10x2
i.c.

[[_2nd_order, _with_linear_symmetries]]

13485

x2y5yx+8y=2x3
i.c.

[[_2nd_order, _with_linear_symmetries]]

13486

x2y6y=ln(x)
i.c.

[[_2nd_order, _with_linear_symmetries]]

13487

(x+2)2y(x+2)y3y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

13488

(2x3)2y6(2x3)y+12y=0

[[_2nd_order, _with_linear_symmetries]]

13595

t2x+3xt+3x=0

[[_Emden, _Fowler]]

13602

t2x+xt+x=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

13611

xy+y+λyx=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

13612

xy+y+λyx=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

13722

t2x2x=t3

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

13725

x2y4yx+6y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

13726

4x2y+y=0
i.c.

[[_Emden, _Fowler]]

13727

t2x5xt+10x=0
i.c.

[[_Emden, _Fowler]]

13728

t2x+xtx=0
i.c.

[[_2nd_order, _exact, _linear, _homogeneous]]

13729

x2z+3xz+4z=0
i.c.

[[_Emden, _Fowler]]

13730

x2yyx3y=0
i.c.

[[_2nd_order, _exact, _linear, _homogeneous]]

13731

4t2x+8xt+5x=0
i.c.

[[_Emden, _Fowler]]

13732

x2y5yx+5y=0
i.c.

[[_Emden, _Fowler]]

13733

3x2z+5xzz=0
i.c.

[[_2nd_order, _exact, _linear, _homogeneous]]

13734

t2x+3xt+13x=0
i.c.

[[_Emden, _Fowler]]

13833

x2y4yx+6y=2

[[_2nd_order, _with_linear_symmetries]]

13860

(x+1)2y+(x+1)y+y=2cos(ln(x+1))

[[_2nd_order, _linear, _nonhomogeneous]]

13901

x2yy=sin(x)2

[[_2nd_order, _linear, _nonhomogeneous]]

14016

t2y+3yt+y=t7

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

14239

x2y+yxy=0

[[_2nd_order, _exact, _linear, _homogeneous]]

14241

2x2y+3yxy=0

[[_2nd_order, _exact, _linear, _homogeneous]]

14243

x2y2y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

14249

2x2y+yxy=0

[[_Emden, _Fowler]]

14256

x2yyx=0

[[_2nd_order, _missing_y]]

14257

x2y+6yx+4y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

14258

x2y5yx+9y=0

[[_Emden, _Fowler]]

14274

x2y4yx+6y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

14275

x2y4yx+6y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

14276

x2y4yx+6y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

14277

x2y4yx+6y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

14278

x2y4yx+6y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

14417

x2y+2yx2y=0

[[_Emden, _Fowler]]

14421

x2yyx+y=0
i.c.

[[_Emden, _Fowler]]

14424

x2y+yx4y=3x3x
i.c.

[[_2nd_order, _with_linear_symmetries]]

14917

x2y+3yx=0

[[_2nd_order, _missing_y]]

15229

x2y4yx+6y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

15230

4x2y+4yxy=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

15231

x2yyx+y=0
i.c.

[[_Emden, _Fowler]]

15233

(x+1)2y2(x+1)y+2y=0
i.c.

[[_2nd_order, _with_linear_symmetries], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

15234

x2y4yx+6y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

15308

x2y5yx+8y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

15309

x2y2y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

15310

x2y2yx=0

[[_2nd_order, _missing_y]]

15311

2x2yyx+y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

15312

x2y5yx+9y=0

[[_Emden, _Fowler]]

15313

x2y+5yx+4y=0

[[_Emden, _Fowler]]

15314

4x2y+y=0

[[_Emden, _Fowler]]

15315

x2y19yx+100y=0

[[_Emden, _Fowler]]

15316

x2y5yx+29y=0

[[_Emden, _Fowler]]

15317

x2yyx+10y=0

[[_Emden, _Fowler]]

15318

x2y+5yx+29y=0

[[_Emden, _Fowler]]

15319

x2y+yx+y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

15320

2x2y+5yx+y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

15321

4x2y+37y=0

[[_Emden, _Fowler]]

15322

x2y+yx=0

[[_2nd_order, _missing_y]]

15323

x2y+yx25y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

15324

4x2y+8yx+5y=0

[[_Emden, _Fowler]]

15325

3x2y7yx+3y=0

[[_Emden, _Fowler]]

15326

x2y2yx10y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

15327

4x2y+4yxy=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

15328

x2y11yx+36y=0
i.c.

[[_Emden, _Fowler]]

15329

x2yyx+y=0
i.c.

[[_Emden, _Fowler]]

15330

x2yyx+2y=0
i.c.

[[_Emden, _Fowler]]

15331

x2y3yx+13y=0
i.c.

[[_Emden, _Fowler]]

15348

x2y4yx+6y=10x+12
i.c.

[[_2nd_order, _with_linear_symmetries]]

15354

x2y4yx+6y=1

[[_2nd_order, _with_linear_symmetries]]

15355

x2y4yx+6y=x

[[_2nd_order, _with_linear_symmetries]]

15356

x2y4yx+6y=22x+24

[[_2nd_order, _with_linear_symmetries]]

15357

x2y7yx+15y=x2

[[_2nd_order, _with_linear_symmetries]]

15358

x2y7yx+15y=x

[[_2nd_order, _with_linear_symmetries]]

15359

x2y7yx+15y=1

[[_2nd_order, _with_linear_symmetries]]

15360

x2y7yx+15y=4x2+2x+3

[[_2nd_order, _with_linear_symmetries]]

15434

x2y5yx+8y=5x3

[[_2nd_order, _with_linear_symmetries]]

15435

2x2yyx+y=50x3

[[_2nd_order, _with_linear_symmetries]]

15436

2x2y+5yx+y=85cos(2ln(x))

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

15437

x2y2y=15cos(3ln(x))10sin(3ln(x))

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

15438

3x2y7yx+3y=4x3

[[_2nd_order, _with_linear_symmetries]]

15439

2x2y+5yx+y=10x

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

15440

x2y5yx+9y=6x3

[[_2nd_order, _with_linear_symmetries]]

15441

x2y+5yx+4y=64x2ln(x)

[[_2nd_order, _linear, _nonhomogeneous]]

15442

x2y2yx+2y=3x

[[_2nd_order, _with_linear_symmetries]]

15448

x2y+yxy=x

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

15449

x2y+yx9y=12x3

[[_2nd_order, _with_linear_symmetries]]

15450

x2y3yx+4y=x2

[[_2nd_order, _with_linear_symmetries]]

15451

x2y+5yx+4y=ln(x)

[[_2nd_order, _with_linear_symmetries]]

15452

x2y2y=1x2

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

15456

x2y2yx4y=10x
i.c.

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

15466

x2y+yx9y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

15469

x2y7yx+16y=0

[[_Emden, _Fowler]]

15474

x2y+7yx+9y=0

[[_Emden, _Fowler]]

15475

x2y+5y2=0

[[_Emden, _Fowler]]

15477

x2y6y=0

[[_Emden, _Fowler]]

15480

x2y+yx+9y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

15482

x2y+2yx30y=0

[[_Emden, _Fowler]]

15485

4x2y+8yx+y=0

[[_Emden, _Fowler]]

15487

2x2y3yx+2y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

15488

9x2y+3yx+y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

15498

x2y+yx9y=3x

[[_2nd_order, _with_linear_symmetries]]

15501

x2y+2yx6y=18ln(x)

[[_2nd_order, _with_linear_symmetries]]

15503

2x2yyx2y=10x2

[[_2nd_order, _with_linear_symmetries]]

15506

x2y+3yx+2y=6

[[_2nd_order, _with_linear_symmetries]]

15507

x2y+yxy=1x2+1

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

15512

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

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

15513

x2y+3yx+y=1x

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

15714

t2y+yt+2y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

15729

x2y12yx+42y=0

[[_Emden, _Fowler]]

15730

t2y+3yt+5y=0

[[_Emden, _Fowler]]

15755

t2y12yt+42y=0
i.c.

[[_Emden, _Fowler]]

15756

x2y+3yx+5y=0
i.c.

[[_Emden, _Fowler]]

15775

x2yyx16y=0

[[_Emden, _Fowler]]

15776

x2y+3yx+2y=0

[[_Emden, _Fowler]]

15787

x2y+5yx+4y=0
i.c.

[[_Emden, _Fowler]]

15930

yyt+yt2=1t

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

16108

2t2y3yt3y=0

[[_Emden, _Fowler]]

16112

3t2y5yt3y=0
i.c.

[[_Emden, _Fowler]]

16113

t2y+7yt7y=0
i.c.

[[_Emden, _Fowler]]

16118

t2y+yty=0

[[_2nd_order, _exact, _linear, _homogeneous]]

16130

t2y+aty+by=0

[[_Emden, _Fowler]]

16169

3t2y2yt+2y=0

[[_Emden, _Fowler]]

16170

t2yyt+y=0

[[_Emden, _Fowler]]

16283

t2y+3yt+y=ln(t)

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

16284

t2y+yt+4y=t

[[_2nd_order, _with_linear_symmetries]]

16285

t2y4yt6y=2ln(t)

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

16369

4x2y8yx+5y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

16370

3x2y4yx+2y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

16371

2x2y8yx+8y=0

[[_Emden, _Fowler]]

16372

2x2y7yx+7y=0

[[_Emden, _Fowler]]

16373

4x2y+17y=0

[[_Emden, _Fowler]]

16374

9x2y9yx+10y=0

[[_Emden, _Fowler]]

16375

2x2y2yx+20y=0

[[_Emden, _Fowler]]

16376

x2y5yx+10y=0

[[_Emden, _Fowler]]

16377

4x2y+8yx+y=0

[[_Emden, _Fowler]]

16378

4x2y+y=0

[[_Emden, _Fowler]]

16379

x2y5yx+9y=0

[[_Emden, _Fowler]]

16380

x2y+7yx+9y=0

[[_Emden, _Fowler]]

16389

x2y+5yx+4y=1x5

[[_2nd_order, _with_linear_symmetries]]

16390

x2y5yx+9y=x3

[[_2nd_order, _with_linear_symmetries]]

16391

x2y+yx+y=1x2

[[_2nd_order, _with_linear_symmetries]]

16392

x2y+yx+4y=1x2

[[_2nd_order, _with_linear_symmetries]]

16393

x2y+2yx6y=2x

[[_2nd_order, _with_linear_symmetries]]

16394

x2y+yx16y=ln(x)

[[_2nd_order, _with_linear_symmetries]]

16395

x2y+yx+4y=8

[[_2nd_order, _with_linear_symmetries]]

16396

x2y+yx+36y=x2

[[_2nd_order, _with_linear_symmetries]]

16399

3x2y4yx+2y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

16400

2x2y7yx+7y=0
i.c.

[[_Emden, _Fowler]]

16401

x2y+yx+4y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

16402

x2y+yx+2y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

16407

2x2y+3yxy=1x2
i.c.

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

16408

x2y+4yx+2y=ln(x)
i.c.

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

16409

4x2y+y=x3
i.c.

[[_2nd_order, _with_linear_symmetries]]

16410

9x2y+27yx+10y=1x
i.c.

[[_2nd_order, _with_linear_symmetries]]

16411

x2yyx+2y=0

[[_Emden, _Fowler]]

16412

x2y+4yx+2y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

16413

x2y+yx+y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

16425

x2y+4yx+2y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

16426

x2y+yx+y=x2

[[_2nd_order, _with_linear_symmetries]]

16427

x2y+yx+4y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

16428

x2yyx+y=0
i.c.

[[_Emden, _Fowler]]

16435

6x2y+5yxy=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

16535

t2y5yt+5y=0

[[_Emden, _Fowler]]

16536

x2y+7yx+8y=0

[[_Emden, _Fowler]]

16537

x2y4yx+6y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

16538

x2y+yx+y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

16539

2x2y+5yx+y=0
i.c.

[[_2nd_order, _exact, _linear, _homogeneous]]

16540

5x2yyx+2y=0

[[_Emden, _Fowler]]

16541

x2y7yx+25y=0

[[_Emden, _Fowler]]

16542

x2y7yx+15y=8x

[[_2nd_order, _with_linear_symmetries]]

17046

x2y+yxy=0

[[_2nd_order, _exact, _linear, _homogeneous]]

17047

x2y+3yx+y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

17048

x2y+2yx+6y=0

[[_Emden, _Fowler]]

17050

(x+2)2y+3(x+2)y3y=0

[[_2nd_order, _with_linear_symmetries]]

17051

(2x+1)2y2(2x+1)y+4y=0

[[_2nd_order, _with_linear_symmetries]]

17056

x2y+yx+y=x(6ln(x))

[[_2nd_order, _with_linear_symmetries]]

17057

x2y2y=sin(ln(x))

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

17058

x2yyx3y=16ln(x)x

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

17059

x2y2yx2y=x22x+2

[[_2nd_order, _with_linear_symmetries]]

17060

x2y+yxy=xm

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

17061

x2y+4yx+2y=2ln(x)2+12x

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

17062

(x+1)3y+3(x+1)2y+(x+1)y=6ln(x+1)

[[_2nd_order, _linear, _nonhomogeneous]]

17063

(x2)2y3(x2)y+4y=x

[[_2nd_order, _with_linear_symmetries]]

17480

ax2y+bxy+cy=d

[[_2nd_order, _with_linear_symmetries]]

17494

t2y2y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

17555

ax2y+bxy+cy=0

[[_Emden, _Fowler]]

17556

x2y+yx+4y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

17557

x2y+4yx+2y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

17558

x2y+3yx+5y4=0

[[_Emden, _Fowler]]

17559

x2y4yx6y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

17560

x2y2y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

17561

x2y5yx+9y=0

[[_Emden, _Fowler]]

17562

x2y+2yx+4y=0

[[_Emden, _Fowler]]

17563

2x2y4yx+6y=0

[[_Emden, _Fowler]]

17564

2x2y+yx3y=0
i.c.

[[_2nd_order, _exact, _linear, _homogeneous]]

17565

4x2y+8yx+17y=0
i.c.

[[_Emden, _Fowler]]

17566

x2y5yx+9y=0
i.c.

[[_Emden, _Fowler]]

17567

x2y+3yx+5y=0
i.c.

[[_Emden, _Fowler]]

17601

x2y3yx+4y=ln(x)

[[_2nd_order, _with_linear_symmetries]]

17602

x2y+7yx+5y=x

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

17603

x2y2yx+2y=3x2+2ln(x)

[[_2nd_order, _with_linear_symmetries]]

17604

x2y+yx+4y=sin(ln(x))

[[_2nd_order, _linear, _nonhomogeneous]]

17634

t2y2y=3t21

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

17635

x2y3yx+4y=x2ln(x)

[[_2nd_order, _linear, _nonhomogeneous]]

17636

t2y2yt+2y=4t2

[[_2nd_order, _with_linear_symmetries]]

17637

t2y+7yt+5y=t

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

17930

x2y2yx+2y=2x3

[[_2nd_order, _with_linear_symmetries]]

17955

y+2yxn(n+1)yx2=0

[[_2nd_order, _with_linear_symmetries]]

17956

x2y4yx+6y=x

[[_2nd_order, _with_linear_symmetries]]

17957

x2yyx+2y=xln(x)

[[_2nd_order, _with_linear_symmetries]]

17958

x2y2y=x2+1x

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

17960

(x+1)2y+(x+1)y+y=4cos(ln(x+1))

[[_2nd_order, _linear, _nonhomogeneous]]

18143

x2y+yx=1

[[_2nd_order, _missing_y]]

18181

x3y+x2y+xy=1

[[_2nd_order, _with_linear_symmetries]]

18189

x2y3yx5y=0

[[_2nd_order, _exact, _linear, _homogeneous]]

18192

x2y2yx+2y=0
i.c.

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

18195

x2y2y=0
i.c.

[[_2nd_order, _exact, _linear, _homogeneous]]

18241

x2y+3yx+10y=0

[[_Emden, _Fowler]]

18242

2x2y+10yx+8y=0

[[_Emden, _Fowler]]

18243

x2y+2yx12y=0

[[_Emden, _Fowler]]

18244

4x2y3y=0

[[_Emden, _Fowler]]

18245

x2y3yx+4y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

18246

x2y+2yx6y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

18247

x2y+2yx+3y=0

[[_Emden, _Fowler]]

18248

x2y+yx2y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

18249

x2y+yx16y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

18285

x2y2yx+2y=xex

[[_2nd_order, _with_linear_symmetries]]

18442

t2x6xt+12x=0

[[_Emden, _Fowler]]

18445

t2x2xt+2x=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

18524

x2y+3yx+y=1x

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

18535

x2y5yx+5y=1x

[[_2nd_order, _with_linear_symmetries]]

18544

x2y+yx+y=0

[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

18614

x2y+3yx8y=x

[[_2nd_order, _with_linear_symmetries]]

18619

x2yyx+y=ln(x)

[[_2nd_order, _with_linear_symmetries]]

18653

y2yx+2yx2=0

[[_2nd_order, _exact, _linear, _homogeneous]]

18852

x2yyx+y=2ln(x)

[[_2nd_order, _with_linear_symmetries]]

18853

x2y+y=3x2

[[_2nd_order, _with_linear_symmetries]]

18856

x2y2yx4y=x4

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

18857

x2y+5yx+4y=x4

[[_2nd_order, _with_linear_symmetries]]

18858

x2y+2yx20y=(x+1)2

[[_2nd_order, _with_linear_symmetries]]

18859

x2y+7yx+5y=x5

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

18863

x2y+4yx+2y=ex

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

18865

(x+a)2y4(x+a)y+6y=x

[[_2nd_order, _with_linear_symmetries]]

18869

x2y+yxy=xm

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

18870

x2y3yx+4y=xm

[[_2nd_order, _with_linear_symmetries]]

18873

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

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

18874

x2y(2m1)xy+(m2+n2)y=n2xmln(x)

[[_2nd_order, _linear, _nonhomogeneous]]

18875

x2y3yx+y=ln(x)sin(ln(x))+1x

[[_2nd_order, _linear, _nonhomogeneous]]

18935

x2y+yxy=0

[[_2nd_order, _exact, _linear, _homogeneous]]

18974

x2y5yx+5y=1x

[[_2nd_order, _with_linear_symmetries]]

19244

x2y+2yx2y=0

[[_Emden, _Fowler]]

19245

x2yyx+y=2ln(x)

[[_2nd_order, _with_linear_symmetries]]

19252

x2yyx+5y=0

[[_Emden, _Fowler]]

19254

x2y+y=3x2

[[_2nd_order, _with_linear_symmetries]]

19255

x2y+7yx+5y=x5

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

19256

x2y+5yx+4y=x4

[[_2nd_order, _with_linear_symmetries]]

19257

x2y4yx+6y=x4

[[_2nd_order, _with_linear_symmetries]]

19258

x2y2yx4y=x4

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

19259

x2y+yxy=xm

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

19260

x2y3yx+4y=xm

[[_2nd_order, _with_linear_symmetries]]

19261

x2y+2yx=ln(x)

[[_2nd_order, _missing_y]]

19262

x2y+4yx+2y=ex

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

19263

x2y+3yx3y=x

[[_2nd_order, _with_linear_symmetries]]

19267

x2y+2yx20y=(x+1)2

[[_2nd_order, _with_linear_symmetries]]

19270

x2yyx+2y=xln(x)

[[_2nd_order, _with_linear_symmetries]]

19271

x2y3yx+5y=x2sin(ln(x))

[[_2nd_order, _linear, _nonhomogeneous]]

19274

(5+2x)2y6(5+2x)y+8y=0

[[_2nd_order, _with_linear_symmetries]]

19275

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

[[_2nd_order, _missing_y]]

19419

x2y+yxy=8x3

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

19425

x2y+yxy=0

[[_2nd_order, _exact, _linear, _homogeneous]]

19508

x2y2y=x2+1x

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

19512

x2y3yx+4y=2x2

[[_2nd_order, _with_linear_symmetries]]

19514

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

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

19516

(x+a)2y4(x+a)y+6y=x

[[_2nd_order, _with_linear_symmetries]]

19518

(x+1)2y+(x+1)y+y=4cos(ln(x+1))

[[_2nd_order, _linear, _nonhomogeneous]]

19520

x2y(2m1)xy+(m2+n2)y=n2xmln(x)

[[_2nd_order, _linear, _nonhomogeneous]]

19521

x2y3yx+y=ln(x)sin(ln(x))+1x

[[_2nd_order, _linear, _nonhomogeneous]]

19560

(x+1)2y+(x+1)y+y=4cos(ln(x+1))

[[_2nd_order, _linear, _nonhomogeneous]]

19564

x2y+yxy=x2ex

[[_2nd_order, _exact, _linear, _nonhomogeneous]]