2.3.262 Problems 26101 to 26200

Table 2.1107: Main lookup table. Sorted by time used to solve.

#

ID

ODE

Solved?

Maple

Mma

Sympy

time(sec)

26101

4734

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 5 y+2 y^{\prime }+y^{\prime \prime }&=0 \end {array} \]

57.297

26102

4671

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y-3 y^{\prime }+y^{\prime \prime }&=0\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=1\\ \end {array} \]

57.306

26103

16955

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }-y^{\prime }&=0 \end {array} \]

57.319

26104

19379

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }-y&=0\\ y \left (1\right )&=0\\ y^{\prime }\left (1\right )&=0\\ y^{\prime \prime }\left (1\right )&=0\\ \end {array} \]

57.391

26105

6197

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime \prime }-y&=0 \end {array} \]

57.398

26106

9093

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime \prime }+y&=0 \end {array} \]

57.419

26107

25523

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\left (5\right )}&=0 \end {array} \]

57.445

26108

26445

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=1 \end {array} \]

57.505

26109

4266

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y-2 y^{\prime }+y^{\prime \prime }&=x +1 \end {array} \]

57.506

26110

21082

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-y&=4 x \,{\mathrm e}^{x} \end {array} \]

57.550

26111

8673

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y-2 y^{\prime }+y^{\prime \prime }&=2 \,{\mathrm e}^{x} \end {array} \]

57.575

26112

12114

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y^{\prime }+y&=\sin \left (x \right ) \end {array} \]

57.586

26113

13503

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=-2 \sin \left (x \right )+\cos \left (x \right ) \end {array} \]

57.648

26114

13551

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 y+y^{\prime \prime }&=3 x \sin \left (x \right ) \end {array} \]

57.766

26115

22319

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 y+y^{\prime \prime }&=2 \sin \left (x \right )^{2} \end {array} \]

57.798

26116

13424

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }-y^{\prime }&=3+x \,{\mathrm e}^{x}+x^{2} \sin \left (x \right ) \end {array} \]

57.800

26117

11626

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }+y^{\prime }&=2+x +{\mathrm e}^{x} x^{2}+x \sin \left (x \right ) \end {array} \]

57.810

26118

13562

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }-y^{\prime \prime }&=1+x \,{\mathrm e}^{x}+2 \cos \left (x \right ) x \end {array} \]

57.858

26119

21446

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }+y^{\prime \prime }&=x +x \,{\mathrm e}^{x}+x \sin \left (x \right ) \end {array} \]

57.861

26120

11561

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-y&=1+x \,{\mathrm e}^{x}+{\mathrm e}^{x} \cos \left (x \right ) \end {array} \]

57.897

26121

14915

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=\frac {1}{\cos \left (x \right )} \end {array} \]

57.944

26122

22345

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-y^{\prime }&={\mathrm e}^{2 x} \sin \left ({\mathrm e}^{x}\right ) \end {array} \]

57.960

26123

21453

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=2 y \left (t \right )-x \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=2 x \left (t \right )-y \left (t \right )\\ \end {array} \]

57.965

26124

15896

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=3 x \left (t \right )-2 y\\ y^{\prime }&=2 x \left (t \right )-y\\ \end {array} \]

58.022

26125

13284

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d^{2}}{d t^{2}}x \left (t \right )&=y \left (t \right )\\ \frac {d^{2}}{d t^{2}}y \left (t \right )&=x \left (t \right )\\ \end {array} \]

58.023

26126

6196

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right )+y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )+y \left (t \right )+t\\ \end {array} \]

58.090

26127

15799

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=\frac {1}{y}\\ y^{\prime }&=\frac {1}{x \left (t \right )}\\ \end {array} \]

58.197

26128

15968

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }+x&=1\\ x \left (0\right )&=1\\ \end {array} \]

58.218

26129

6916

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }-x&=1\\ x \left (0\right )&=-1\\ \end {array} \]

58.273

26130

26230

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=2\\ x \left (0\right )&=0\\ \end {array} \]

58.276

26131

14451

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right )-2 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=3 x \left (t \right )-4 y \left (t \right )\\ \end {array} \]

58.318

26132

12692

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right )+2 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=2 x \left (t \right )+y \left (t \right )\\ \end {array} \]

58.350

26133

13350

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=2 y \left (t \right )-x \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-2 x \left (t \right )-y \left (t \right )\\ \end {array} \]

58.364

26134

9751

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right )+2 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-5 x \left (t \right )-y \left (t \right )\\ \end {array} \]

58.408

26135

7548

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-2 x \left (t \right )+y \left (t \right )+x \left (t \right ) y \left (t \right )^{2}\\ \frac {d}{d t}y \left (t \right )&=-7 x \left (t \right )-2 y \left (t \right )-7 y \left (t \right ) x \left (t \right )^{2}\\ \end {array} \]

58.409

26136

19720

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-y \left (t \right )+x \left (t \right )^{2} y \left (t \right )^{3}\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )-x \left (t \right )^{3} y \left (t \right )^{2}\\ \end {array} \]

58.411

26137

3024

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=y \left (t \right )+x \left (t \right )^{3}\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )-y \left (t \right )^{3}\\ \end {array} \]

58.427

26138

8410

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-2 x \left (t \right )+\sin \left (y \left (t \right )\right )\\ \frac {d}{d t}y \left (t \right )&=5 \,{\mathrm e}^{x \left (t \right )}-5-y \left (t \right )\\ \end {array} \]

58.473

26139

17278

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=2 x \left (t \right )-y \cos \left (y\right )\\ y^{\prime }&=3 x \left (t \right )-2 y-x \left (t \right ) y^{2}\\ \end {array} \]

58.474

26140

13281

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+\left (1+\frac {1}{x^{2}+1}\right ) y&=0 \end {array} \]

58.551

26141

8711

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+y&=\epsilon y^{2}\\ y \left (0\right )&=1\\ \end {array} \]

58.616

26142

16260

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-y&=0\\ y \left (0\right )&=0\\ y \left (2 \pi \right )&=1\\ \end {array} \]

58.684

26143

25716

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=0\\ y \left (0\right )&=0\\ y \left (2 \pi \right )&=1\\ \end {array} \]

58.914

26144

24819

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+\lambda y&=0\\ y \left (0\right )&=0\\ y^{\prime }\left (\pi \right )&=0\\ \end {array} \]

58.918

26145

26541

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +y&=\cos \left (x \right ) \end {array} \]

58.939

26146

11388

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y+y^{\prime }&={\mathrm e}^{x} \end {array} \]

58.943

26147

15586

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (-x^{2}+1\right ) y^{\prime }+y x&=2 x \end {array} \]

59.007

26148

13433

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime }&=-2 x^{3}+x \end {array} \]

59.064

26149

71

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x&=y \tan \left (\ln \left (y\right )\right ) \end {array} \]

59.066

26150

19922

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }-y&={\mathrm e}^{x^{2}+x} \end {array} \]

59.095

26151

15555

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x&=y+x \sin \left (x \right ) \end {array} \]

59.104

26152

6832

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -y+y^{\prime } x&=x \,{\mathrm e}^{x} \end {array} \]

59.132

26153

8702

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x +y y^{\prime }&=0 \end {array} \]

59.147

26154

9205

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (y x +1\right ) y^{\prime }+y^{2}&=0 \end {array} \]

59.154

26155

2979

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y-y^{\prime } x&=0 \end {array} \]

59.210

26156

13618

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } \ln \left (\frac {y^{\prime }}{4}\right )&=4 x \end {array} \]

59.221

26157

5181

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x&=\ln \left (y^{\prime }\right )+\sin \left (y^{\prime }\right ) \end {array} \]

59.236

26158

8678

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x&=y^{\prime }+\arcsin \left (y^{\prime }\right ) \end {array} \]

59.263

26159

13532

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {y^{\prime }}^{2}+{\mathrm e}^{y^{\prime }}&=x \end {array} \]

59.359

26160

28115

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }-\tan \left (x \right ) y&=0 \end {array} \]

59.390

26161

13228

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=3 y^{2} \end {array} \]

59.401

26162

17277

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&={\mathrm e}^{x -y} \end {array} \]

59.401

26163

1648

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2}+y^{2}-2 y y^{\prime } x&=0 \end {array} \]

59.486

26164

11593

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x -y+y^{\prime } x&=0 \end {array} \]

59.498

26165

17289

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {y}{\left (\ln \left (x \right )-\ln \left (y\right )\right ) x} \end {array} \]

59.505

26166

5260

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x +y\right ) y^{\prime }&=y \end {array} \]

59.575

26167

1651

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +1&={\mathrm e}^{y} \end {array} \]

59.589

26168

4311

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} y^{\prime } x +y^{3}&=\frac {1}{x} \end {array} \]

59.637

26169

11450

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 x^{2}-8 y x +2 y^{2}-\left (4 x^{2}-4 y x +3 y^{2}\right ) y^{\prime }&=0 \end {array} \]

59.748

26170

13803

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y {y^{\prime }}^{2}+2 y^{\prime } x&=y \end {array} \]

59.827

26171

6261

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x +y-\left (x -y\right ) y^{\prime }&=0 \end {array} \]

59.888

26172

21789

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y&=y^{\prime } x +y^{2} \sin \left (x^{2}\right ) \end {array} \]

59.951

26173

15848

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +x \ln \left (y\right ) y^{\prime }&=x \sin \left (x \right )+\ln \left (y\right ) y \end {array} \]

59.975

26174

13475

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x^{2}+y^{2} \end {array} \]

59.996

26175

25699

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {x}{y} \end {array} \]

60.017

26176

13275

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=y+3 y^{{1}/{3}} \end {array} \]

60.043

26177

22424

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\sqrt {x -y} \end {array} \]

60.073

26178

4702

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\sqrt {x^{2}-y}-x \end {array} \]

60.129

26179

11560

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\sqrt {1-y^{2}} \end {array} \]

60.230

26180

26346

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {1+y}{x -y} \end {array} \]

60.230

26181

11676

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\sin \left (y\right )-\cos \left (x \right ) \end {array} \]

60.256

26182

13505

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=1-\cot \left (y\right ) \end {array} \]

60.273

26183

13541

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\left (3 x -y\right )^{{1}/{3}}-1 \end {array} \]

60.273

26184

22961

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x +1 \end {array} \]

60.289

26185

16254

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x +y \end {array} \]

60.331

26186

26925

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=y-x \end {array} \]

60.351

26187

17801

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {x}{2}-y+\frac {3}{2} \end {array} \]

60.371

26188

25445

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\left (-1+y\right )^{2} \end {array} \]

60.388

26189

25887

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\left (-1+y\right ) x \end {array} \]

60.486

26190

24359

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x^{2}+y^{2} \end {array} \]

60.506

26191

25489

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\cos \left (x -y\right ) \end {array} \]

60.524

26192

8885

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=-x^{2}+y \end {array} \]

60.602

26193

15055

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x^{2}+2 x -y \end {array} \]

60.636

26194

11912

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {1+y}{-1+x} \end {array} \]

60.671

26195

5218

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=2-y \end {array} \]

60.753

26196

9757

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=1-x \end {array} \]

60.836

26197

26886

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=2 x -y \end {array} \]

60.955

26198

1663

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\left (1-y\right ) \left (1-x \right ) \end {array} \]

61.088

26199

9147

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=-\sin \left (2 x -y\right ) \end {array} \]

61.155

26200

24823

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=y+x^{2} \end {array} \]

61.159