2.2.22 Problems 2101 to 2200

Table 2.45: Main lookup table. Sorted sequentially by problem number.

#

ODE

CAS classification

Solved?

time (sec)

2101

\[ {}x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+x \left (11 x^{2}+5\right ) y^{\prime }+24 x^{2} y = 0 \]

[[_2nd_order, _with_linear_symmetries]]

0.641

2102

\[ {}4 x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+8 x y^{\prime }-\left (-x^{2}+35\right ) y = 0 \]

[[_2nd_order, _with_linear_symmetries]]

0.759

2103

\[ {}x^{2} \left (x^{2}+1\right ) y^{\prime \prime }-x \left (-x^{2}+5\right ) y^{\prime }-\left (25 x^{2}+7\right ) y = 0 \]

[[_2nd_order, _with_linear_symmetries]]

0.843

2104

\[ {}x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+x \left (2 x^{2}+5\right ) y^{\prime }-21 y = 0 \]

[[_2nd_order, _with_linear_symmetries]]

1.099

2105

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

[[_2nd_order, _with_linear_symmetries]]

1.457

2106

\[ {}4 x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+4 x \left (x^{2}+2\right ) y^{\prime }-\left (x^{2}+15\right ) y = 0 \]

[[_2nd_order, _with_linear_symmetries]]

0.727

2107

\[ {}x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \]
i.c.

[[_3rd_order, _exact, _linear, _homogeneous]]

0.210

2108

\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-7 y^{\prime \prime }-y^{\prime }+6 y = 0 \]
i.c.

[[_high_order, _missing_x]]

0.143

2109

\[ {}x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \]
i.c.

[[_3rd_order, _exact, _linear, _homogeneous]]

0.276

2110

\[ {}x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \]
i.c.

[[_3rd_order, _exact, _linear, _homogeneous]]

0.196

2111

\[ {}x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \]
i.c.

[[_3rd_order, _exact, _linear, _homogeneous]]

0.203

2112

\[ {}x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \]
i.c.

[[_3rd_order, _exact, _linear, _homogeneous]]

0.131

2113

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

[[_3rd_order, _missing_x]]

0.051

2114

\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+7 y^{\prime }-5 y = 0 \]

[[_3rd_order, _missing_x]]

0.062

2115

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

[[_3rd_order, _missing_x]]

0.051

2116

\[ {}y^{\prime \prime \prime \prime }+8 y^{\prime \prime }-9 y = 0 \]

[[_high_order, _missing_x]]

0.060

2117

\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+16 y^{\prime }-16 y = 0 \]

[[_3rd_order, _missing_x]]

0.058

2118

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

[[_3rd_order, _missing_x]]

0.054

2119

\[ {}y^{\prime \prime \prime }+5 y^{\prime \prime }+9 y^{\prime }+5 y = 0 \]

[[_3rd_order, _missing_x]]

0.059

2120

\[ {}4 y^{\prime \prime \prime }-8 y^{\prime \prime }+5 y^{\prime }-y = 0 \]

[[_3rd_order, _missing_x]]

0.055

2121

\[ {}27 y^{\prime \prime \prime }+27 y^{\prime \prime }+9 y^{\prime }+y = 0 \]

[[_3rd_order, _missing_x]]

0.054

2122

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

[[_high_order, _missing_x]]

0.050

2123

\[ {}y^{\prime \prime \prime \prime }-16 y = 0 \]

[[_high_order, _missing_x]]

0.062

2124

\[ {}y^{\prime \prime \prime \prime }+12 y^{\prime \prime }+36 y = 0 \]

[[_high_order, _missing_x]]

0.072

2125

\[ {}16 y^{\prime \prime \prime \prime }-72 y^{\prime \prime }+81 y = 0 \]

[[_high_order, _missing_x]]

0.059

2126

\[ {}6 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }+7 y^{\prime \prime }+5 y^{\prime }+y = 0 \]

[[_high_order, _missing_x]]

0.064

2127

\[ {}4 y^{\prime \prime \prime \prime }+12 y^{\prime \prime \prime }+3 y^{\prime \prime }-13 y^{\prime }-6 y = 0 \]

[[_high_order, _missing_x]]

0.063

2128

\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+7 y^{\prime \prime }-6 y^{\prime }+2 y = 0 \]

[[_high_order, _missing_x]]

0.065

2129

\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }+4 y^{\prime }-8 y = 0 \]
i.c.

[[_3rd_order, _missing_x]]

0.073

2130

\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y = 0 \]
i.c.

[[_3rd_order, _missing_x]]

0.132

2131

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

[[_3rd_order, _missing_x]]

0.130

2132

\[ {}y^{\prime \prime \prime }-2 y^{\prime }-4 y = 0 \]
i.c.

[[_3rd_order, _missing_x]]

0.073

2133

\[ {}3 y^{\prime \prime \prime }-y^{\prime \prime }-7 y^{\prime }+5 y = 0 \]
i.c.

[[_3rd_order, _missing_x]]

0.135

2134

\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0 \]
i.c.

[[_3rd_order, _missing_x]]

0.131

2135

\[ {}2 y^{\prime \prime \prime }-11 y^{\prime \prime }+12 y^{\prime }+9 y = 0 \]
i.c.

[[_3rd_order, _missing_x]]

0.134

2136

\[ {}8 y^{\prime \prime \prime }-4 y^{\prime \prime }-2 y^{\prime }+y = 0 \]
i.c.

[[_3rd_order, _missing_x]]

0.129

2137

\[ {}y^{\prime \prime \prime \prime }-16 y = 0 \]
i.c.

[[_high_order, _missing_x]]

0.081

2138

\[ {}y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+7 y^{\prime \prime }+6 y^{\prime }-8 y = 0 \]
i.c.

[[_high_order, _missing_x]]

0.141

2139

\[ {}4 y^{\prime \prime \prime \prime }-13 y^{\prime \prime }+9 y = 0 \]
i.c.

[[_high_order, _missing_x]]

0.134

2140

\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime \prime }-8 y^{\prime }-8 y = 0 \]
i.c.

[[_high_order, _missing_x]]

0.089

2141

\[ {}4 y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+19 y^{\prime \prime }+32 y^{\prime }+12 y = 0 \]
i.c.

[[_high_order, _missing_x]]

0.089

2142

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

[[_high_order, _missing_x]]

0.054

2143

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

[[_high_order, _missing_x]]

0.069

2144

\[ {}y^{\prime \prime \prime \prime }+64 y = 0 \]

[[_high_order, _missing_x]]

0.066

2145

\[ {}y^{\left (6\right )}-y = 0 \]

[[_high_order, _missing_x]]

0.095

2146

\[ {}y^{\prime \prime \prime \prime }+64 y = 0 \]

[[_high_order, _missing_x]]

0.065

2147

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

[[_high_order, _missing_x]]

0.076

2148

\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = -{\mathrm e}^{x} \left (-24 x^{2}+76 x +4\right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.141

2149

\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }-5 y^{\prime }+6 y = {\mathrm e}^{-3 x} \left (6 x^{2}-23 x +32\right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.138

2150

\[ {}4 y^{\prime \prime \prime }+8 y^{\prime \prime }-y^{\prime }-2 y = -{\mathrm e}^{x} \left (6 x^{2}+45 x +4\right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.134

2151

\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y = {\mathrm e}^{-2 x} \left (3 x^{2}-17 x +2\right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.135

2152

\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y = {\mathrm e}^{x} \left (16 x^{3}+24 x^{2}+2 x -1\right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.150

2153

\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-2 y = {\mathrm e}^{x} \left (15 x^{2}+34 x +14\right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.137

2154

\[ {}4 y^{\prime \prime \prime }+8 y^{\prime \prime }-y^{\prime }-2 y = -{\mathrm e}^{-2 x} \left (1-15 x \right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.134

2155

\[ {}y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = -{\mathrm e}^{x} \left (7+6 x \right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.124

2156

\[ {}2 y^{\prime \prime \prime }-7 y^{\prime \prime }+4 y^{\prime }+4 y = {\mathrm e}^{2 x} \left (17+30 x \right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.133

2157

\[ {}y^{\prime \prime \prime }-5 y^{\prime \prime }+3 y^{\prime }+9 y = 2 \,{\mathrm e}^{3 x} \left (11-24 x \right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.139

2158

\[ {}y^{\prime \prime \prime }-7 y^{\prime \prime }+8 y^{\prime }+16 y = 2 \,{\mathrm e}^{4 x} \left (13+15 x \right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.132

2159

\[ {}8 y^{\prime \prime \prime }-12 y^{\prime \prime }+6 y^{\prime }-y = {\mathrm e}^{\frac {x}{2}} \left (1+4 x \right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.138

2160

\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }-3 y^{\prime \prime }-7 y^{\prime }+6 y = -3 \,{\mathrm e}^{-x} \left (-8 x^{2}+8 x +12\right ) \]

[[_high_order, _linear, _nonhomogeneous]]

0.151

2161

\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+y^{\prime \prime }-3 y^{\prime }-2 y = -3 \,{\mathrm e}^{2 x} \left (11+12 x \right ) \]

[[_high_order, _linear, _nonhomogeneous]]

0.134

2162

\[ {}y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+24 y^{\prime \prime }+32 y^{\prime } = -16 \,{\mathrm e}^{-2 x} \left (-x^{3}+x^{2}+x +1\right ) \]

[[_high_order, _missing_y]]

0.164

2163

\[ {}4 y^{\prime \prime \prime \prime }-11 y^{\prime \prime }-9 y^{\prime }-2 y = -{\mathrm e}^{x} \left (1-6 x \right ) \]

[[_high_order, _linear, _nonhomogeneous]]

0.132

2164

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

[[_high_order, _linear, _nonhomogeneous]]

0.164

2165

\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-4 y^{\prime }+2 y = {\mathrm e}^{2 x} \left (x^{4}+x +24\right ) \]

[[_high_order, _linear, _nonhomogeneous]]

0.179

2166

\[ {}2 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }-5 y^{\prime }-2 y = 18 \,{\mathrm e}^{x} \left (5+2 x \right ) \]

[[_high_order, _linear, _nonhomogeneous]]

0.133

2167

\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-2 y^{\prime \prime }-6 y^{\prime }-4 y = -{\mathrm e}^{2 x} \left (15 x^{2}+28 x +4\right ) \]

[[_high_order, _linear, _nonhomogeneous]]

0.155

2168

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

[[_high_order, _linear, _nonhomogeneous]]

0.151

2169

\[ {}y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = {\mathrm e}^{x} \left (-3 x^{2}+x +3\right ) \]

[[_high_order, _linear, _nonhomogeneous]]

0.140

2170

\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }+4 y = {\mathrm e}^{2 x} \left (18 x^{2}+33 x +13\right ) \]

[[_high_order, _linear, _nonhomogeneous]]

0.158

2171

\[ {}y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+4 y^{\prime } = {\mathrm e}^{2 x} \left (12 x^{2}+26 x +15\right ) \]

[[_high_order, _missing_y]]

0.148

2172

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

[[_high_order, _linear, _nonhomogeneous]]

0.133

2173

\[ {}2 y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+3 y^{\prime \prime }+y^{\prime }-y = {\mathrm e}^{x} \left (11+12 x \right ) \]

[[_high_order, _linear, _nonhomogeneous]]

0.140

2174

\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+3 y^{\prime \prime }+y^{\prime } = {\mathrm e}^{-x} \left (10 x^{2}-24 x +5\right ) \]

[[_high_order, _missing_y]]

0.151

2175

\[ {}y^{\prime \prime \prime \prime }-7 y^{\prime \prime \prime }+18 y^{\prime \prime }-20 y^{\prime }+8 y = {\mathrm e}^{2 x} \left (-5 x^{2}-8 x +3\right ) \]

[[_high_order, _linear, _nonhomogeneous]]

0.164

2176

\[ {}y^{\prime \prime \prime }-y^{\prime \prime }-4 y^{\prime }+4 y = {\mathrm e}^{-x} \left (\left (16+10 x \right ) \cos \left (x \right )+\left (30-10 x \right ) \sin \left (x \right )\right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.199

2177

\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-4 y^{\prime }-4 y = {\mathrm e}^{-x} \left (\left (1-22 x \right ) \cos \left (2 x \right )-\left (1+6 x \right ) \sin \left (2 x \right )\right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.371

2178

\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+2 y^{\prime }-2 y = {\mathrm e}^{2 x} \left (\left (-x^{2}+5 x +27\right ) \cos \left (x \right )+\left (9 x^{2}+13 x +2\right ) \sin \left (x \right )\right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.354

2179

\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime }-2 y = -{\mathrm e}^{x} \left (\left (4 x^{2}+5 x +9\right ) \cos \left (2 x \right )-\left (-3 x^{2}-5 x +6\right ) \sin \left (2 x \right )\right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.636

2180

\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+4 y^{\prime }+12 y = 8 \cos \left (2 x \right )-16 \sin \left (2 x \right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.668

2181

\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+2 y = {\mathrm e}^{x} \left (\left (20+4 x \right ) \cos \left (x \right )-\left (12+12 x \right ) \sin \left (x \right )\right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.984

2182

\[ {}y^{\prime \prime \prime }-7 y^{\prime \prime }+20 y^{\prime }-24 y = -{\mathrm e}^{2 x} \left (\left (13-8 x \right ) \cos \left (2 x \right )-\left (8-4 x \right ) \sin \left (2 x \right )\right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.885

2183

\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+18 y^{\prime } = -{\mathrm e}^{3 x} \left (\left (2-3 x \right ) \cos \left (3 x \right )-\left (3+3 x \right ) \sin \left (3 x \right )\right ) \]

[[_3rd_order, _missing_y]]

0.812

2184

\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime \prime }-8 y^{\prime }-8 y = {\mathrm e}^{x} \left (8 \cos \left (x \right )+16 \sin \left (x \right )\right ) \]

[[_high_order, _linear, _nonhomogeneous]]

0.169

2185

\[ {}y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }-4 y = {\mathrm e}^{x} \left (2 \cos \left (2 x \right )-\sin \left (2 x \right )\right ) \]

[[_high_order, _linear, _nonhomogeneous]]

0.188

2186

\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+24 y^{\prime \prime }-32 y^{\prime }+15 y = {\mathrm e}^{2 x} \left (15 x \cos \left (2 x \right )+32 \sin \left (2 x \right )\right ) \]

[[_high_order, _linear, _nonhomogeneous]]

0.209

2187

\[ {}y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+13 y^{\prime \prime }+12 y^{\prime }+4 y = {\mathrm e}^{-x} \left (\left (4-x \right ) \cos \left (x \right )-\left (5+x \right ) \sin \left (x \right )\right ) \]

[[_high_order, _linear, _nonhomogeneous]]

0.206

2188

\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }-4 y = -{\mathrm e}^{-x} \left (\cos \left (x \right )-\sin \left (x \right )\right ) \]

[[_high_order, _linear, _nonhomogeneous]]

0.858

2189

\[ {}y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+13 y^{\prime \prime }-19 y^{\prime }+10 y = {\mathrm e}^{x} \left (\cos \left (2 x \right )+\sin \left (2 x \right )\right ) \]

[[_high_order, _linear, _nonhomogeneous]]

0.766

2190

\[ {}y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+32 y^{\prime \prime }+64 y^{\prime }+39 y = {\mathrm e}^{-2 x} \left (\left (4-15 x \right ) \cos \left (3 x \right )-\left (4+15 x \right ) \sin \left (3 x \right )\right ) \]

[[_high_order, _linear, _nonhomogeneous]]

1.036

2191

\[ {}y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+13 y^{\prime \prime }-19 y^{\prime }+10 y = {\mathrm e}^{x} \left (\left (7+8 x \right ) \cos \left (2 x \right )+\left (8-4 x \right ) \sin \left (2 x \right )\right ) \]

[[_high_order, _linear, _nonhomogeneous]]

1.198

2192

\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+8 y^{\prime \prime }+8 y^{\prime }+4 y = -2 \,{\mathrm e}^{x} \left (\cos \left (x \right )-\sin \left (x \right )\right ) \]

[[_high_order, _linear, _nonhomogeneous]]

0.181

2193

\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+32 y^{\prime \prime }-64 y^{\prime }+64 y = {\mathrm e}^{2 x} \left (\cos \left (2 x \right )-\sin \left (2 x \right )\right ) \]

[[_high_order, _linear, _nonhomogeneous]]

1.104

2194

\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+26 y^{\prime \prime }-40 y^{\prime }+25 y = {\mathrm e}^{2 x} \left (3 \cos \left (x \right )-\left (1+3 x \right ) \sin \left (x \right )\right ) \]

[[_high_order, _linear, _nonhomogeneous]]

1.520

2195

\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y = {\mathrm e}^{2 x}-4 \,{\mathrm e}^{x}-2 \cos \left (x \right )+4 \sin \left (x \right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.275

2196

\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 5 \,{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x}-4 \cos \left (x \right )+4 \sin \left (x \right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

1.046

2197

\[ {}y^{\prime \prime \prime }-y^{\prime } = -2 x -2+4 \,{\mathrm e}^{x}-6 \,{\mathrm e}^{-x}+96 \,{\mathrm e}^{3 x} \]

[[_3rd_order, _missing_y]]

0.164

2198

\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }+9 y^{\prime }-10 y = 10 \,{\mathrm e}^{2 x}+20 \,{\mathrm e}^{x} \sin \left (2 x \right )-10 \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.865

2199

\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 12 \,{\mathrm e}^{-x}+9 \cos \left (2 x \right )-13 \sin \left (2 x \right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.288

2200

\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = 4 \,{\mathrm e}^{-x} \left (1-6 x \right )-2 x \cos \left (x \right )+2 \left (x +1\right ) \sin \left (x \right ) \]

[[_3rd_order, _linear, _nonhomogeneous]]

0.709