3.26.20 Problems 1901 to 2000

Table 3.927: Second order, Linear, Homogeneous and non-constant coefficients

#

ODE

Mathematica

Maple

12262

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

12264

ln(x2+1)y+4xyx2+1+(x2+1)y(x2+1)2=0

12265

xy+x2y+2xy=0

12275

y+2xy2x14xy(2x1)2=0

12276

(x2+2x)y+(x2+x+10)y=(256x)y

12277

y+y1+x(2+x)yx2(1+x)=0

12278

(x2x)y+(2x2+4x3)y+8xy=0

12280

(2sin(x)cos(x))y+(7sin(x)+4cos(x))y+10cos(x)y=0

12394

(1+x)yxy+y=0

12395

xy+2y+xy=0

12400

x2y+x(x12)y+y2=0

12401

x2y+x(1+x)yy=0

12410

yx2y=0

12411

xy+y+y=0

12412

xy+(1+x)2y=0

12416

(x2+1)y2xy+n(n+1)y=0

12424

(x2+1)yxya2y=0

12425

y+2yx=0

12574

x2y+xyy=0

12576

2x2y+3xyy=0

12578

x2y2y=0

12584

2x2y+xyy=0

12591

x2yxy=0

12592

x2y+6xy+4y=0

12593

x2y5xy+9y=0

12609

x2y4xy+6y=0

12610

x2y4xy+6y=0

12611

x2y4xy+6y=0

12612

x2y4xy+6y=0

12613

x2y4xy+6y=0

12614

x2y4xy+6y=0

12752

x2y+2xy2y=0

12756

x2yxy+y=0

13252

x2y+3xy=0

13474

xy=2y

13477

xy=y2x2y

13478

(x2+1)y+2xy=0

13508

xy=2y

13527

y+x2y4y=0

13528

y+x2y=4y

13538

x2y6xy+12y=0

13539

2x2yxy+y=0

13540

4x2y+y=0

13541

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

13542

(1+x)y+xyy=0

13543

yyx4x2y=0

13545

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

13546

sin(x)2y2cos(x)sin(x)y+(1+cos(x)2)y=0

13547

x2y2xy+(x2+2)y=0

13548

x2y+xy+y=0

13549

x2y+xy+(x214)y=0

13564

x2y4xy+6y=0

13565

4x2y+4xyy=0

13566

x2yxy+y=0

13567

xyy+4x3y=0

13568

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

13569

x2y4xy+6y=0

13570

xyy+4x3y=0

13643

x2y5xy+8y=0

13644

x2y2y=0

13645

x2y2xy=0

13646

2x2yxy+y=0

13647

x2y5xy+9y=0

13648

x2y+5xy+4y=0

13649

4x2y+y=0

13650

x2y19xy+100y=0

13651

x2y5xy+29y=0

13652

x2yxy+10y=0

13653

x2y+5xy+29y=0

13654

x2y+xy+y=0

13655

2x2y+5xy+y=0

13656

4x2y+37y=0

13657

x2y+xy=0

13658

x2y+xy25y=0

13659

4x2y+8xy+5y=0

13660

3x2y7xy+3y=0

13661

x2y2xy10y=0

13662

4x2y+4xyy=0

13663

x2y11xy+36y=0

13664

x2yxy+y=0

13665

x2yxy+2y=0

13666

x2y3xy+13y=0

13801

x2y+xy9y=0

13804

x2y7xy+16y=0

13809

x2y+7xy+9y=0

13810

x2y+5y2=0

13812

x2y6y=0

13815

x2y+xy+9y=0

13817

x2y+2xy30y=0

13820

4x2y+8xy+y=0

13822

2x2y3xy+2y=0

13823

9x2y+3xy+y=0

13827

xy=3y

13862

ty+y+ty=0

14049

t2y+ty+2y=0

14064

x2y12xy+42y=0

14065

t2y+3ty+5y=0

14090

t2y12ty+42y=0

14091

x2y+3xy+5y=0

14110

x2yxy16y=0