2.33 Problems 3201 to 3300

Table 2.33: Main lookup table

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ODE

Mathematica result

Maple result

3201

(1+5xy)y+5+x5y=0

3202

(a+bx+y)y+abxy=0

3203

(x2y)y+x=0

3204

(x2y)y=4xy

3205

(ycot(x)csc(x))y+csc(x)(1+ycos(x))y=0

3206

2yy+2x+x2+y2=0

3207

2yy=xy2+x3

3208

(x2y)y=y

3209

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

3210

(x2y)y+2x+y=0

3211

(1+x2y)y=1+2xy

3212

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

3213

(1+x+2y)y+7+x4y=0

3214

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

3215

(3+2x2y)y=1+6x2y

3216

(14x2y)y+2x+y=0

3217

(6x2y)y=2+3xy

3218

(19+9x+2y)y+182x6y=0

3219

(x3+2y)y=3x(2xy)

3220

(tan(x)sec(x)2y)y+sec(x)(1+2ysin(x))=0

3221

(xex2y)y=2xe2x(ex+xex2y)y

3222

3yy+5cot(x)cot(y)(cos2(y))=0

3223

3(2y)y+xy=0

3224

(x3y)y+4+3xy=0

3225

(4x3y)y+3x3y=0

3226

(2+2x+3y)y=12x3y

3227

(52x3y)y+12x3y=0

3228

(1+9x3y)y+2+3xy=0

3229

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

3230

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

3231

(5+2x4y)y=3+x2y

3232

(5+3x4y)y=2+7x3y

3233

4(1xy)y+2x=0

3234

(1111x4y)y=628x25y

3235

(6+3x+5y)y=2+x+7y

3236

(7x+5y)y+10x+8y=0

3237

(x+4x3+5y)y+7x3+3x2y+4y=0

3238

(5x+6y)y=3x+4y

3239

3(2y+x)y=1x2y

3240

(7y3x+3)y+77x+3y=0

3241

(1+x+9y)y+1+x+5y=0

3242

(8+5x12y)y=3+2x5y

3243

(140+7x16y)y+25+8x+y=0

3244

(3+9x+21y)y=45+7x5y

3245

(ax+by)y+x=0

3246

(ax+by)y+y=0

3247

(ax+by)y+bx+ay=0

3248

(ax+by)y=bx+ay

3249

xyy+1+y2=0

3250

xyy=x+y2

3251

xyy+x2+y2=0

3252

xyy+x4y2=0

3253

xyy=ax3cos(x)+y2

3254

xyy=x2xy+y2

3255

xyy+2x22xyy2=0

3256

xyy=a+by2

3257

xyy=axn+by2

3258

xyy=(x2+1)(1y2)

3259

xyy+x2arccot(yx)y2=0

3260

xyy+x2e2yxy2=0

3261

(1+xy)y+y2=0

3262

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

3263

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

3264

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

3265

x(y+2)y+ax=0

3266

(2+3xxy)y+y=0

3267

x(4+y)y=2x+2y+y2

3268

x(a+y)y+bx+cy=0

3269

x(a+y)y=y(Bx+A)

3270

x(x+y)y+y2=0

3271

x(xy)y+y2=0

3272

x(x+y)y=x2+y2

3273

x(xy)y+2x2+3xyy2=0

3274

x(x+y)yy(x+y)+xx2y2=0

3275

(a+x(x+y))y=b(x+y)y

3276

x(2x+y)y=x2+xyy2

3277

x(4xy)y+4x26xyy2=0

3278

x(x3+y)y=(x3y)y

3279

x(2x3+y)y=(2x3y)y

3280

x(2x3+y)y=6y2

3281

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

3282

(x+a)(x+b)y=xy

3283

2xyy+12x3y2=0

3284

2xyy+a+y2=0

3285

2xyy=ax+y2

3286

2xyy+x2+y2=0

3287

2xyy=x2+y2

3288

2xyy=4x2(1+2x)+y2

3289

2xyy+x2(ax3+1)=6y2

3290

(3x+2xy)y+3x2y+y2=0

3291

x(x2y)y+y2=0

3292

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

3293

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

3294

x(1+x2y)y+(12x+y)y=0

3295

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

3296

2x(2x2+y)y+(12x2+y)y=0

3297

2(1+x)yy+2x3x2+y2=0

3298

x(2x+3y)y=y2

3299

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

3300

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