2.72 Problems 7101 to 7200

Table 2.72: Main lookup table

#

ODE

Mathematica result

Maple result

7101

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

7102

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

7103

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

7104

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

7105

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

7106

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

7107

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

7108

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

7109

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

7110

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

7111

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

7112

\[ {}2 x^{2} y^{\prime \prime }+3 x y^{\prime }-x y = 0 \]

7113

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

7114

\[ {}2 x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }+x \left (11 x^{2}+11 x +9\right ) y^{\prime }+\left (7 x^{2}+10 x +6\right ) y = 0 \]

7115

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

7116

\[ {}x^{2} \left (x^{2}-2 x +1\right ) y^{\prime \prime }-x \left (x +3\right ) y^{\prime }+\left (x +4\right ) y = 0 \]

7117

\[ {}2 x^{2} \left (2+x \right ) y^{\prime \prime }+5 x^{2} y^{\prime }+\left (x +1\right ) y = 0 \]

7118

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

7119

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]

7120

\[ {}x^{2} y^{\prime \prime }-x y^{\prime }-\left (x^{2}+\frac {5}{4}\right ) y = 0 \]

7121

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]

7122

\[ {}x^{2} y^{\prime \prime }+3 x y^{\prime }+4 x^{4} y = 0 \]

7123

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

7124

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

7125

\[ {}x^{3} y^{\prime \prime }+y^{\prime }-\frac {y}{x} = 0 \]

7126

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]

7127

\[ {}4 x^{2} y^{\prime \prime }+\left (-8 x^{2}+4 x \right ) y^{\prime }+\left (4 x^{2}-4 x -1\right ) y = 0 \]

7128

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

7129

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

7130

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

7131

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

7132

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

7133

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

7134

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]

7135

\[ {}\left (x^{2}-1\right ) y^{\prime \prime }-6 x y^{\prime }+12 y = 0 \]

7136

\[ {}\left (x^{2}+3\right ) y^{\prime \prime }-7 x y^{\prime }+16 y = 0 \]

7137

\[ {}\left (x^{2}-1\right ) y^{\prime \prime }+8 x y^{\prime }+12 y = 0 \]

7138

\[ {}3 y^{\prime \prime }+x y^{\prime }-4 y = 0 \]

7139

\[ {}5 y^{\prime \prime }-2 x y^{\prime }+10 y = 0 \]

7140

\[ {}y^{\prime \prime }-x^{2} y^{\prime }-3 x y = 0 \]

7141

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

7142

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

7143

\[ {}\left (x^{2}-6 x +10\right ) y^{\prime \prime }-4 \left (x -3\right ) y^{\prime }+6 y = 0 \]

7144

\[ {}\left (x^{2}+6 x \right ) y^{\prime \prime }+\left (3 x +9\right ) y^{\prime }-3 y = 0 \]

7145

\[ {}t y^{\prime \prime }+\left (t^{2}-1\right ) y^{\prime }+t^{3} y = 0 \]

7146

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

7147

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

7148

\[ {}x^{2} y^{\prime \prime }-\left (x -\frac {3}{16}\right ) y = 0 \]

7149

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]

7150

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

7151

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

7152

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

7153

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]

7154

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

7155

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

7156

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

7157

\[ {}\left (x^{2}+1\right ) y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]

7158

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

7159

\[ {}2 y^{\prime \prime }+x y^{\prime }+3 y = 0 \]

7160

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

7161

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

7162

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

7163

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

7164

\[ {}4 x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (-16 x^{2}+3\right ) y = 0 \]

7165

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

7166

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

7167

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

7168

\[ {}\left (1+2 x \right ) y^{\prime \prime }-2 y^{\prime }-\left (2 x +3\right ) y = 0 \]

7169

\[ {}4 x^{2} y^{\prime \prime }+\left (-8 x^{2}+4 x \right ) y^{\prime }+\left (4 x^{2}-4 x -1\right ) y = 0 \]

7170

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

7171

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

7172

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

7173

\[ {}\left (-2 x +1\right ) y^{\prime \prime }+2 y^{\prime }+\left (2 x -3\right ) y = 0 \]

7174

\[ {}2 x y^{\prime \prime }+\left (1+4 x \right ) y^{\prime }+\left (1+2 x \right ) y = 0 \]

7175

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

7176

\[ {}4 x^{2} y^{\prime \prime }-4 x \left (x +1\right ) y^{\prime }+\left (2 x +3\right ) y = 0 \]

7177

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

7178

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

7179

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

7180

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

7181

\[ {}x y^{\prime \prime }-\left (1+4 x \right ) y^{\prime }+\left (2+4 x \right ) y = 0 \]

7182

\[ {}4 x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (-16 x^{2}+3\right ) y = 0 \]

7183

\[ {}\left (1+2 x \right ) x y^{\prime \prime }-2 \left (2 x^{2}-1\right ) y^{\prime }-4 \left (x +1\right ) y = 0 \]

7184

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

7185

\[ {}x y^{\prime \prime }-\left (1+4 x \right ) y^{\prime }+\left (2+4 x \right ) y = 0 \]

7186

\[ {}\left (3 x -1\right ) y^{\prime \prime }-\left (2+3 x \right ) y^{\prime }-\left (6 x -8\right ) y = 0 \]

7187

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

7188

\[ {}4 x^{2} y^{\prime \prime }+\left (-8 x^{2}+4 x \right ) y^{\prime }+\left (4 x^{2}-4 x -1\right ) y = 0 \]

7189

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

7190

\[ {}\left (1+2 x \right ) y^{\prime \prime }-2 y^{\prime }-\left (2 x +3\right ) y = 0 \]

7191

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

7192

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

7193

\[ {}4 x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (-16 x^{2}+3\right ) y = 0 \]

7194

\[ {}4 x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}+3\right ) y = 0 \]

7195

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

7196

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

7197

\[ {}x^{2} y^{\prime \prime }-2 x \left (2+x \right ) y^{\prime }+\left (x^{2}+4 x +6\right ) y = 0 \]

7198

\[ {}x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (x^{2}+6\right ) y = 0 \]

7199

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

7200

\[ {}4 x^{2} y^{\prime \prime }-4 x \left (x +1\right ) y^{\prime }+\left (2 x +3\right ) y = 0 \]