2.75 Problems 7401 to 7500

Table 2.75: Main lookup table

#

ODE

Mathematica result

Maple result

7401

x2(1+x)y+x2y2y=0

7402

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

7403

x2y+x(1x)yy=0

7404

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

7405

x2yx2y2y=0

7406

x2yx2y(2+3x)y=0

7407

x2y+x(5x)y+4y=0

7408

4x2y+4x(1x)y+(2x9)y=0

7409

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

7410

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

7411

4x2y+4x(1+2x)y+(4x1)y=0

7412

x2y+x(4+x)y+(2+x)y=0

7413

x2y+xy+(x294)y=0

7414

xy+2y+xy=0

7415

2xy+5(2x+1)y5y=0

7416

x2y+xy+(x214)y=0

7417

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

7418

x4y+xy+y=0

7419

x2y+(2x2+x)y4y=0

7420

(4x314x22x)y(6x27x+1)y+(6x1)y=0

7421

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

7422

x2yx2y+(2+x)y=0

7423

x2(14x)y+(14xx2)y5xy16=0

7424

x2y+(x2+x)y+(x9)y=0

7425

x2y+x(1+x)y+(3x1)y=0

7426

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

7427

2x2y(2+3x)y+(2x1)yx=0

7428

x(1x)y+(322x)yy4=0

7429

2x(1x)y+xyy=0

7430

2x(1x)y+(111x)y10y=0

7431

x(1x)y+(2x+1)y3+20y9=0

7432

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

7433

u2uxa2u=0

7434

u+2uxa2u=0

7435

u+2ux+a2u=0

7436

u+4uxa2u=0

7437

u+4ux+a2u=0

7438

ya2y=6yx2

7439

y+n2y=6yx2

7440

x2y+xy(x2+14)y=0

7441

x2y+xy+(9a2+4x2)y4a2=0

7442

x2y+xy+(x2254)y=0

7443

y+qy=2yx2

7444

xy+3y+4x3y=0

7445

(2x)x2y+2xy2y=0

7446

(x2+1)y2xy+2y=0

7447

xy2(1+x)y+(2+x)y=0

7448

3xy2(3x1)y+(3x2)y=0

7449

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

7450

(x2+2x)y2(1+x)y+2y=0

7451

(x2+2x)y2(1+x)y+2y=0

7452

(x2+1)y2xy+2y=0

7453

(x2+1)y2xy+2y=0

7454

y4xy+(4x22)y=0

7455

y4xy+(4x22)y=0

7456

(2x3)yxy+y=0

7457

yxy3y=0

7458

(x2+1)yxy+y=0

7459

yxy+2y=0

7460

(x2+1)yy+y=0

7461

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

7462

2xyy+2y=0

7463

xy+xy2y=0

7464

x(1+x)2y2y=0

7465

y2xy+x2y=0

7466

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

7467

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

7468

2(2x)x2yx(4x)y+(3x)y=0

7469

x2(1x)y+(5x4)xy+(69x)y=0

7470

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

7471

y2xy+8y=0

7472

y2xy+8y=0

7473

(x2+1)y2xy+12y=0

7474

x(2+x)y+2(1+x)y2y=0

7475

x(2+x)y+(1+x)y4y=0

7476

(1+x)yxy+y=0

7477

(x2+1)y2xy+2y=0

7478

(x22x+10)y+xy4y=0

7479

(x22x+10)y+xy4y=0

7480

yxy+2y=0

7481

(2+x)y+xyy=0

7482

(x2+1)y6y=0

7483

(x2+2)y+3xyy=0

7484

(1+x)yxy+y=0

7485

y2xy+8y=0

7486

x2y+(53x+x2)yy3=0

7487

2xyy+2y=0

7488

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

7489

2x2y+3xy+(2x1)y=0

7490

xy+2yxy=0

7491

x2y+xy+(x214)y=0

7492

xy+(x6)y3y=0

7493

x4y+λy=0

7494

4x2y+4xy+(4x225)y=0

7495

x2y+xy+(36x214)y=0

7496

x2y+(x22)y=0

7497

xy+3y+x3y=0

7498

x2y+4xy+(x2+2)y=0

7499

16x2y+32xy+(x412)y=0

7500

yx2y+xy=0