3.9.26 Problems 2501 to 2600

Table 3.557: First order ode linear in derivative

#

ODE

Mathematica

Maple

5238

y2x2y=0

5239

1+y(1+x)y=0

5240

xy2+y+(x2yx)y=0

5241

xsin(yx)ycos(yx)+xcos(yx)y=0

5242

y2(x2+2)+(x3+y3)(yxy)=0

5243

yx2+y2x(x+x2+y2)y=0

5244

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

5245

1+2y(4x)y=0

5246

xy+(x2+1)y=0

5247

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

5248

2xy2y=x2+4y2

5249

3y7x+7+(7y3x+3)y=0

5250

xyy=(y+1)(1x)

5251

y2x2+xyy=0

5252

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

5253

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

5254

x3+y3+3y2yx=0

5255

3x+2y+1(3x+2y1)y=0

5256

xy+2y=0

5257

xyy+x2+y2=0

5258

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

5259

y2+xyxy=0

5260

y=2(2x+3y)2

5261

x2sin(y)+3+(2x4sin(y)3)cos(y)y=0

5262

x2yxy=0

5263

x2+y2+2xyy=0

5264

x+cos(x)y+ysin(x)=0

5265

2x+3y+4+(3x+4y+5)y=0

5266

4y3x3+1x+(3x4y21y)y=0

5267

2u2+2uv+(u2+v2)v=0

5268

xx2+y2y+(yx2+y2x)y=0

5269

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

5270

y2yx(x+y)+2+(1x+y+2(1+x)y)y=0

5271

2xyex2y+y2exy2+1+(x2ex2y+2xyexy22y)y=0

5272

y(x2y)x2y=0

5273

xyy+x2+y2=0

5274

x2+y2+2xyy=0

5275

1a2x2y=0

5276

x+y+1(xy3)y=0

5277

xx2y2+yy=0

5278

2y3x+xy=0

5279

xy2+2xyy=0

5280

y3x2(x2+y2)+xy=0

5281

yln(x)xy=0

5282

3x2+y22xyy=0

5283

xy2y2(x23xy)y=0

5284

x+y(xy)y=0

5285

2y3xy2xy=0

5286

y+x(1+x2y)y=0

5287

y+x3y+2x2+(x+4y4x+8y3)y=0

5288

yexx2+xy=0

5289

1+y2=(x2+x)y

5290

2yx3+xy=0

5291

y+(y2x)y=0

5292

3y3xy(x2+6xy2)y=0

5293

3y2x2+4(x3y3)y=0

5294

y(x+y)x2y=0

5295

2y+3xy2+(x+2x2y)y=0

5296

y(y22x2)+x(2y2x2)y=0

5297

y+xy=0

5298

y+y=2x+2

5299

yy=xy

5300

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

5301

i6i=10sin(2t)

5302

y+y=y2ex

5303

y+(xy+x3y)y=0

5304

(2se2t)s=2se2t2cos(2t)

5305

xy+yx3y6=0

5306

r+2rcos(θ)+sin(2θ)=0

5307

y(1+y2)=2(12xy2)y

5308

yyxy2+x=0

5309

(xxx2y2)yy=0

5310

2xxy+x3cos(y)=0

5311

xy=y(1xtan(x))+cos(x)x2

5312

2+y2(xy+2y+y3)y=0

5313

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

5314

2xy5y+2xy=0

5315

1+sin(y)=(2ycos(y)x(sec(y)+tan(y)))y

5316

xy=2y+x3ex

5317

Li+Ri=Esin(2t)

5318

x2cos(y)y=2xsin(y)1

5319

4x2yy=3x(3y2+2)+2(3y2+2)3

5320

xy3y3exx2+3y2yx=0

5321

y+x(x+y)=x3(x+y)31

5322

y+eyex+(1+ey)y=0

5451

xy=1x+2y

5499

y+xy=1x3

5679

y+26y5=97sin(2t)5

5680

y+2y=0

5691

y6y=0

5714

y=x2y

5715

y=x2y(x3+1)

5716

y=ysin(x)

5717

xy=1y2

5718

y=x21+y2

5719

xyy=1+y2

5720

(x21)y+2xy2=0

5721

y=3y23

5722

xy+y=y2

5723

2x2yy+y2=2