6.152 Problems 15101 to 15200

Table 6.303: Main lookup table sequentially arranged

#

ODE

Mathematica

Maple

Sympy

15101

\[ {} x y y^{\prime } = 2 x^{2}+2 y^{2} \]

15102

\[ {} y^{\prime } = \frac {x +2 y}{x +2 y+3} \]

15103

\[ {} y^{\prime } = \frac {x +2 y}{2 x -y} \]

15104

\[ {} y^{\prime } = \frac {y}{x}+\tan \left (\frac {y}{x}\right ) \]

15105

\[ {} y^{\prime } = x y^{2}+3 y^{2}+x +3 \]

15106

\[ {} 1-\left (x +2 y\right ) y^{\prime } = 0 \]

15107

\[ {} \ln \left (y\right )+\left (\frac {x}{y}+3\right ) y^{\prime } = 0 \]

15108

\[ {} y^{2}+1-y^{\prime } = 0 \]

15109

\[ {} y^{\prime }-3 y = 12 \,{\mathrm e}^{2 x} \]

15110

\[ {} x y y^{\prime } = y^{2}+x y+x^{2} \]

15111

\[ {} \left (x +2\right ) y^{\prime }-x^{3} = 0 \]

15112

\[ {} x y^{3} y^{\prime } = y^{4}-x^{2} \]

15113

\[ {} y^{\prime } = 4 y-\frac {16 \,{\mathrm e}^{4 x}}{y^{2}} \]

15114

\[ {} 2 y-6 x +\left (1+x \right ) y^{\prime } = 0 \]

15115

\[ {} x y^{2}+\left (x^{2} y+10 y^{4}\right ) y^{\prime } = 0 \]

15116

\[ {} y y^{\prime }-x y^{2} = 6 x \,{\mathrm e}^{4 x^{2}} \]

15117

\[ {} \left (y-x +3\right )^{2} \left (y^{\prime }-1\right ) = 1 \]

15118

\[ {} x +y \,{\mathrm e}^{x y}+x \,{\mathrm e}^{x y} y^{\prime } = 0 \]

15119

\[ {} y^{2}-y^{2} \cos \left (x \right )+y^{\prime } = 0 \]

15120

\[ {} y^{\prime }+2 y = \sin \left (x \right ) \]

15121

\[ {} y^{\prime }+2 x = \sin \left (x \right ) \]

15122

\[ {} y^{\prime } = y^{3}-y^{3} \cos \left (x \right ) \]

15123

\[ {} y^{2} {\mathrm e}^{x y^{2}}-2 x +2 x y \,{\mathrm e}^{x y^{2}} y^{\prime } = 0 \]

15124

\[ {} y^{\prime } = {\mathrm e}^{4 x +3 y} \]

15125

\[ {} y^{\prime } = \tan \left (6 x +3 y+1\right )-2 \]

15126

\[ {} y^{\prime } = {\mathrm e}^{4 x +3 y} \]

15127

\[ {} y^{\prime } = x \left (6 y+{\mathrm e}^{x^{2}}\right ) \]

15128

\[ {} x \left (1-2 y\right )+\left (y-x^{2}\right ) y^{\prime } = 0 \]

15129

\[ {} x^{2} y^{\prime }+3 x y = 6 \,{\mathrm e}^{-x^{2}} \]

15130

\[ {} x y^{\prime \prime }+4 y^{\prime } = 18 x^{2} \]

15131

\[ {} x y^{\prime \prime } = 2 y^{\prime } \]

15132

\[ {} y^{\prime \prime } = y^{\prime } \]

15133

\[ {} y^{\prime \prime }+2 y^{\prime } = 8 \,{\mathrm e}^{2 x} \]

15134

\[ {} x y^{\prime \prime } = y^{\prime }-2 x^{2} y^{\prime } \]

15135

\[ {} \left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime } = 0 \]

15136

\[ {} y^{\prime \prime } = 4 x \sqrt {y^{\prime }} \]

15137

\[ {} y^{\prime } y^{\prime \prime } = 1 \]

15138

\[ {} y y^{\prime \prime } = -{y^{\prime }}^{2} \]

15139

\[ {} x y^{\prime \prime } = {y^{\prime }}^{2}-y^{\prime } \]

15140

\[ {} x y^{\prime \prime }-{y^{\prime }}^{2} = 6 x^{5} \]

15141

\[ {} y y^{\prime \prime }-{y^{\prime }}^{2} = y^{\prime } \]

15142

\[ {} y^{\prime \prime } = 2 y^{\prime }-6 \]

15143

\[ {} \left (-3+y\right ) y^{\prime \prime } = 2 {y^{\prime }}^{2} \]

15144

\[ {} y^{\prime \prime }+4 y^{\prime } = 9 \,{\mathrm e}^{-3 x} \]

15145

\[ {} y^{\prime \prime \prime } = y^{\prime \prime } \]

15146

\[ {} x y^{\prime \prime \prime }+2 y^{\prime \prime } = 6 x \]

15147

\[ {} y^{\prime \prime \prime } = 2 \sqrt {y^{\prime \prime }} \]

15148

\[ {} y^{\prime \prime \prime \prime } = -2 y^{\prime \prime \prime } \]

15149

\[ {} y y^{\prime \prime } = {y^{\prime }}^{2} \]

15150

\[ {} 3 y y^{\prime \prime } = 2 {y^{\prime }}^{2} \]

15151

\[ {} \sin \left (y\right ) y^{\prime \prime }+\cos \left (y\right ) {y^{\prime }}^{2} = 0 \]

15152

\[ {} y^{\prime \prime } = y^{\prime } \]

15153

\[ {} {y^{\prime }}^{2}+y y^{\prime \prime } = 2 y y^{\prime } \]

15154

\[ {} y^{2} y^{\prime \prime }+y^{\prime \prime }+2 y {y^{\prime }}^{2} = 0 \]

15155

\[ {} y^{\prime \prime } = 4 x \sqrt {y^{\prime }} \]

15156

\[ {} y^{\prime } y^{\prime \prime } = 1 \]

15157

\[ {} x y^{\prime \prime } = {y^{\prime }}^{2}-y^{\prime } \]

15158

\[ {} x y^{\prime \prime }-y^{\prime } = 6 x^{5} \]

15159

\[ {} y y^{\prime \prime }-{y^{\prime }}^{2} = y^{\prime } \]

15160

\[ {} y y^{\prime \prime } = 2 {y^{\prime }}^{2} \]

15161

\[ {} \left (-3+y\right ) y^{\prime \prime } = {y^{\prime }}^{2} \]

15162

\[ {} y^{\prime \prime }+4 y^{\prime } = 9 \,{\mathrm e}^{-3 x} \]

15163

\[ {} y^{\prime \prime } = y^{\prime } \left (y^{\prime }-2\right ) \]

15164

\[ {} x y^{\prime \prime }+4 y^{\prime } = 18 x^{2} \]

15165

\[ {} x y^{\prime \prime } = 2 y^{\prime } \]

15166

\[ {} y^{\prime \prime } = y^{\prime } \]

15167

\[ {} y^{\prime \prime }+2 y^{\prime } = 8 \,{\mathrm e}^{2 x} \]

15168

\[ {} y^{\prime \prime \prime } = y^{\prime \prime } \]

15169

\[ {} x y^{\prime \prime \prime }+2 y^{\prime \prime } = 6 x \]

15170

\[ {} x y^{\prime \prime }+2 y^{\prime } = 6 \]

15171

\[ {} 2 x y^{\prime } y^{\prime \prime } = {y^{\prime }}^{2}-1 \]

15172

\[ {} 3 y y^{\prime \prime } = 2 {y^{\prime }}^{2} \]

15173

\[ {} y y^{\prime \prime }+2 {y^{\prime }}^{2} = 3 y y^{\prime } \]

15174

\[ {} y^{\prime \prime } = -y^{\prime } {\mathrm e}^{-y} \]

15175

\[ {} y^{\prime \prime } = -2 x {y^{\prime }}^{2} \]

15176

\[ {} y^{\prime \prime } = -2 x {y^{\prime }}^{2} \]

15177

\[ {} y^{\prime \prime } = -2 x {y^{\prime }}^{2} \]

15178

\[ {} y^{\prime \prime } = -2 x {y^{\prime }}^{2} \]

15179

\[ {} y^{\prime \prime } = 2 y y^{\prime } \]

15180

\[ {} y^{\prime \prime } = 2 y y^{\prime } \]

15181

\[ {} y^{\prime \prime } = 2 y y^{\prime } \]

15182

\[ {} y^{\prime \prime } = 2 y y^{\prime } \]

15183

\[ {} y^{\prime \prime }+x^{2} y^{\prime }-4 y = x^{3} \]

15184

\[ {} y^{\prime \prime }+x^{2} y^{\prime }-4 y = 0 \]

15185

\[ {} y^{\prime \prime }+x^{2} y^{\prime } = 4 y \]

15186

\[ {} y^{\prime \prime }+x^{2} y^{\prime }+4 y = y^{3} \]

15187

\[ {} x y^{\prime }+3 y = {\mathrm e}^{2 x} \]

15188

\[ {} y^{\prime \prime \prime }+y = 0 \]

15189

\[ {} \left (y+1\right ) y^{\prime \prime } = {y^{\prime }}^{3} \]

15190

\[ {} y^{\prime \prime } = 2 y^{\prime }-5 y+30 \,{\mathrm e}^{3 x} \]

15191

\[ {} y^{\prime \prime \prime \prime }+6 y^{\prime \prime }+3 y^{\prime }-83 y-25 = 0 \]

15192

\[ {} y y^{\prime \prime \prime }+6 y^{\prime \prime }+3 y^{\prime } = y \]

15193

\[ {} y^{\prime \prime }-5 y^{\prime }+6 y = 0 \]

15194

\[ {} y^{\prime \prime }-10 y^{\prime }+25 y = 0 \]

15195

\[ {} x^{2} y^{\prime \prime }-6 x y^{\prime }+12 y = 0 \]

15196

\[ {} 2 x^{2} y^{\prime \prime }-x y^{\prime }+y = 0 \]

15197

\[ {} 4 x^{2} y^{\prime \prime }+y = 0 \]

15198

\[ {} y^{\prime \prime }-\left (4+\frac {2}{x}\right ) y^{\prime }+\left (4+\frac {4}{x}\right ) y = 0 \]

15199

\[ {} \left (1+x \right ) y^{\prime \prime }+x y^{\prime }-y = 0 \]

15200

\[ {} y^{\prime \prime }-\frac {y^{\prime }}{x}-4 x^{2} y = 0 \]