3.1.27 Problems 2601 to 2700

Table 3.53: First order ode

#

ODE

Mathematica

Maple

4479

x2xy+ey+(yx2+xey)y=0

4480

exsin(y)+ey(xeyexcos(y))y=0

4481

x2y2y(x2y2x)y=0

4482

x4y2y+(x2y4x)y=0

4483

y(2x+y3)x(2xy3)y=0

4484

arctan(xy)+xy2xy21+y2x2+(x22x2y)y1+y2x2=0

4485

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

4486

xy+1y+(2yx)yy2=0

4487

y23xy2x2+(xyx2)y=0

4488

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

4489

y(2xy1)+x(2yx1)y=0

4490

y2+12x2y+(2xy+4x3)y=0

4491

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

4492

y(x+x2+y2)y=0

4493

2xy+(a+x2+y2)y=0

4494

2xy+x2+b+(a+x2+y2)y=0

4495

xy+y=x3

4496

y+ay=b

4497

xy+y=y2ln(x)

4498

x+2xy=ey2

4499

r=(r+eθ)tan(θ)

4500

y2xyx2+1=1

4501

y+y=xy3

4502

(x3+1)y2(1+x)y=y52

4503

tan(θ)rr=tan(θ)2

4504

y+2y=3e2x

4505

y+2y=3e2x4

4506

y+2y=sin(x)

4507

y+cos(x)y=e2x

4508

y+cos(x)y=sin(2x)2

4509

xy+y=xsin(x)

4510

y+xy=x2sin(x)

4511

xy+xy2y=0

4512

xyy(2yln(x)1)=0

4513

x2(1+x)yy2x(2+x)y=0

4514

yy=ex

4515

y+yx=y2x

4516

2cos(x)y=ysin(x)y3

4517

(xcos(y))y+tan(y)=0

4518

y=x3+2yxy2x

4519

y=2tan(x)sec(x)y2sin(x)

4520

y=1x2yxy2

4521

y=1+yxy2x2

4522

2xyy+(1+x)y2=ex

4523

cos(y)y+sin(y)=x2

4524

(1+x)yy1=(1+x)y+1

4525

ey(1+y)=ex

4526

ysin(y)+sin(x)cos(y)=sin(x)

4527

(xy)2y=4

4528

y+xy=x2+y2

4529

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

4530

(x2y2)y=2xy

4531

y+(1+y2e2x)y=0

4532

x2y+y2+x3y=0

4533

y2exy2+4x3+(2xyexy23y2)y=0

4534

y=(x2+2y1)23x

4535

xy+y=x2(1+ex)y2

4536

2yxyln(x)2xln(x)y=0

4537

y+ay=kebx

4538

y=(x+y)2

4539

y+8y3x3+2xy=0

4540

(xyx2y2+x)y=yx2x2y2

4541

y+ay=bsin(kx)

4542

xyy2+1=0

4543

(y2+asin(x))y=cos(x)

4544

xy=xeyx+x+y

4545

y+cos(x)y=esin(x)

4546

xyy(ln(xy)1)=0

4547

x3yy2x2y=0

4548

xy+ay+bxn=0

4549

xyyxsin(yx)=0

4550

y23xy2x2+(xyx2)y=0

4551

(6xy+x2+3)y+3y2+2xy+2x=0

4552

x2y+y2+xy+x2=0

4553

(x21)y+2xycos(x)=0

4554

(1+x2y)y+xy21=0

4555

(x21)y+xy3xy2=0

4556

(x21)y2xyln(y)=0

4557

(1+x2+y2)y+2xy+x2+3=0

4558

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

4559

y2+12x2y+(2xy+4x3)y=0

4560

(x2y)y+x=0

4561

(x2y)y4xy=0

4562

xyy+x2+y2=0

4563

2xyy+3x2y2=0

4564

(2xy3x4)y+2x3yy4=0

4565

(xy1)2xy+(1+y2x2)y=0

4566

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

4567

3y2yx+y32x=0

4568

2y3y+xy2x3=0

4569

(2xy3+xy+x2)yxy+y2=0

4570

(2y3+y)y2x3x=0

4571

yexy+ex=0

4675

ay3bx32+y=0

4676

axy3+by2+y=0

4677

yxay3+3y2xayx2a+ax1a=0

4678

y(yf(x))(yg(x))(yaf(x)+bg(x)a+b)h(x)f(x)(yg(x))f(x)g(x)g(x)(yf(x))g(x)f(x)=0

4679

x2y+xy3+ay2=0

4680

(ax+b)2y+(ax+b)y3+cy2=0

4681

y+ytan(x)=0