3.1.34 Problems 3301 to 3400

Table 3.67: First order ode

#

ODE

Mathematica

Maple

6165

y+ycot(x)=2xcsc(x)

6166

yx+xycot(x)+xy=0

6167

yxy=0

6168

y2xy=6xex2

6169

xln(x)y+y=3x3

6170

yyx=x2

6171

y+4y=ex

6172

x2y+xy=2x

6173

xy+y=x4y3

6174

y2yx+y3=xcos(x)

6175

xy+y=xy2

6176

y+xy=y4x

6177

(ey2xy)y=y2

6178

yxy=yy2ey

6179

xy+2=x3(y1)y

6180

xy=2x2y+yln(x)

6181

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

6182

(x+2y)y+y=0

6183

sin(x)tan(y)+1+cos(x)sec(x)2yy=0

6184

yx3+(x+y3)y=0

6185

2y24x+5=(42y+4xy)y

6186

y+ycos(xy)+(x+xcos(xy))y=0

6187

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

6188

(sin(x)sin(y)xey)y=ey+cos(x)cos(y)

6189

sin(xy)y+xsin(xy)yy2=0

6190

1+y+(1x)y=0

6191

2xy3+cos(x)y+(3y2x2+sin(x))y=0

6192

y1y2x2+xy1y2x2=1

6193

2y4x+sin(y)+(4x2y3+xcos(y))y=0

6194

xy+y1y2x2+x=0

6195

2x(1+x2y)=x2yy

6196

xln(y)+xy+(yln(x)+xy)y=0

6197

ey2csc(y)csc(x)2+(2xyey2csc(y)cot(y)cot(x))y=0

6198

1+y2sin(2x)2ycos(x)2y=0

6199

x(x2+y2)32+yy(x2+y2)32=0

6200

3x2(1+ln(y))+(x3y2y)y=0

6201

yxy(x+y)2+y=1

6202

4y22x24xy2x3+(8y2x2)y4y3x2y=0

6203

x22y2+xyy=0

6204

x2y3xy2y2=0

6205

x2y=3(x2+y2)arctan(yx)+xy

6206

xsin(yx)y=ysin(yx)+x

6207

xy=y+2xeyx

6208

xy(x+y)y=0

6209

xy=2x6y

6210

xy=x2+y2

6211

x2y=2xy+y2

6212

x3+y3y2yx=0

6213

y=x+y+4xy6

6214

y=x+y+4x+y6

6215

2x2y+(y1)y=0

6216

y=x+y1x+4y+2

6217

2x+3y14(1+x)y=0

6218

y=1xy22x2y

6219

y=2+3xy24x2y

6220

y=yxy2x+x2y

6221

y=sin(yx)cos(yx)

6222

exyyyx=0

6223

y=x2xyy2cos(xy)

6224

y=ytan(yx)x

6225

(3x2y2)y2xy=0

6226

xy1+(x2xy)y=0

6227

xy+y+3x3y4y=0

6228

ex+(excot(y)+2ycsc(y))y=0

6229

(2+x)sin(y)+xcos(y)y=0

6230

y+(x2x2y3)y=0

6231

x+3y2+2xyy=0

6232

y+(2xyey)y=0

6233

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

6234

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

6235

x3+xy3+3y2y=0

6236

y=2yx+x3y+xtan(yx2)

6249

xy+y=x

6250

x2y+y=x2

6251

x2y=y

6252

sec(x)y=sec(y)

6253

y=x2+y2x2y2

6254

y=2y+x2xy

6255

x2y+2xy=0

6256

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

6257

y+xy=2x

6258

x2y2y=3x2

6259

y2y=x

6260

csc(x)y=csc(y)

6261

y=x+yxy

6262

y=x2+2y2x22y2

6263

2xcos(y)x2sin(y)y=0

6264

1yxyy2=0

6401

y+y=cos(x)

6405

y=2xy

6407

y+y=1

6409

yy=2

6411

y+y=0

6413

yy=0

6415

yy=x2

6417

xy=y

6419

x2y=y

6421

yyx=x2

6422

y+yx=x

6426

y=xy