| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+\left (a +b \,{\mathrm e}^{\lambda x}+b -3 \lambda \right ) y^{\prime }+a^{2} \lambda \left (b -\lambda \right ) {\mathrm e}^{2 \lambda x} y = 0
\]
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| \[
{} y^{\prime \prime }+\left (2 \,{\mathrm e}^{\lambda x} a -\lambda \right ) y^{\prime }+\left (a^{2} {\mathrm e}^{2 \lambda x}+c \,{\mathrm e}^{x \mu }\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+\left (2 \,{\mathrm e}^{\lambda x} a +b \right ) y^{\prime }+\left (a^{2} {\mathrm e}^{2 \lambda x}+a \left (b +\lambda \right ) {\mathrm e}^{\lambda x}+c \right ) y = 0
\]
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| \[
{} y^{\prime \prime }+\left ({\mathrm e}^{\lambda x} a +2 b -\lambda \right ) y^{\prime }+\left (c \,{\mathrm e}^{2 \lambda x}+a b \,{\mathrm e}^{\lambda x}+b^{2}-b \lambda \right ) y = 0
\]
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| \[
{} y^{\prime \prime }+\left (a \,{\mathrm e}^{x}+b \right ) y^{\prime }+\left (c \left (a -c \right ) {\mathrm e}^{2 x}+\left (a k +b c -2 c k +c \right ) {\mathrm e}^{x}+k \left (b -k \right )\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+\left ({\mathrm e}^{\lambda x} a +b \right ) y^{\prime }+\left (\alpha \,{\mathrm e}^{2 \lambda x}+\beta \,{\mathrm e}^{\lambda x}+\gamma \right ) y = 0
\]
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| \[
{} y^{\prime \prime }+\left (2 \,{\mathrm e}^{\lambda x} a -\lambda \right ) y^{\prime }+\left (a^{2} {\mathrm e}^{2 \lambda x}+b \,{\mathrm e}^{2 x \mu }+c \,{\mathrm e}^{x \mu }+k \right ) y = 0
\]
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| \[
{} y^{\prime \prime }+\left (2 \,{\mathrm e}^{\lambda x} a +b -\lambda \right ) y^{\prime }+\left (a^{2} {\mathrm e}^{2 \lambda x}+a b \,{\mathrm e}^{\lambda x}+c \,{\mathrm e}^{2 x \mu }+d \,{\mathrm e}^{x \mu }+k \right ) y = 0
\]
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| \[
{} y^{\prime \prime }+\left ({\mathrm e}^{\lambda x} a +b \,{\mathrm e}^{x \mu }\right ) y^{\prime }+a \,{\mathrm e}^{\lambda x} \left (b \,{\mathrm e}^{x \mu }+\lambda \right ) y = 0
\]
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| \[
{} y^{\prime \prime }+{\mathrm e}^{\lambda x} \left (a \,{\mathrm e}^{2 x \mu }+b \right ) y^{\prime }+\mu \left ({\mathrm e}^{\lambda x} \left (b -a \,{\mathrm e}^{2 x \mu }\right )-\mu \right ) y = 0
\]
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| \[
{} y^{\prime \prime }+\left ({\mathrm e}^{\lambda x} a +b \,{\mathrm e}^{x \mu }+c \right ) y^{\prime }+\left (a \lambda \,{\mathrm e}^{\lambda x}+b \mu \,{\mathrm e}^{x \mu }\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+\left ({\mathrm e}^{\lambda x} a +b \,{\mathrm e}^{x \mu }+c \right ) y^{\prime }+\left (a b \,{\mathrm e}^{\left (\lambda +\mu \right ) x}+{\mathrm e}^{\lambda x} a c +b \mu \,{\mathrm e}^{x \mu }\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+\left ({\mathrm e}^{\lambda x} a +2 b \,{\mathrm e}^{x \mu }-\lambda \right ) y^{\prime }+\left (a b \,{\mathrm e}^{\left (\lambda +\mu \right ) x}+c \,{\mathrm e}^{2 \lambda x}+b^{2} {\mathrm e}^{2 x \mu }+b \left (\mu -\lambda \right ) {\mathrm e}^{x \mu }\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+\left (a \,{\mathrm e}^{\left (\lambda +\mu \right ) x}+a \lambda \,{\mathrm e}^{\lambda x}+b \,{\mathrm e}^{x \mu }-2 \lambda \right ) y^{\prime }+a^{2} b \lambda \,{\mathrm e}^{\left (\mu +2 \lambda \right ) x} y = 0
\]
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| \[
{} y^{\prime \prime }+a \,{\mathrm e}^{b \,x^{n}} y^{\prime }+c \left (a \,{\mathrm e}^{b \,x^{n}}-c \right ) y = 0
\]
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| \[
{} \left ({\mathrm e}^{\lambda x} a +b \right ) y^{\prime \prime }-a \,\lambda ^{2} {\mathrm e}^{\lambda x} y = 0
\]
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| \[
{} \left (a^{2} {\mathrm e}^{2 \lambda x}+b \right ) y^{\prime \prime }-b \lambda y^{\prime }-a^{2} \lambda ^{2} k^{2} {\mathrm e}^{2 \lambda x} y = 0
\]
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| \[
{} 2 \left ({\mathrm e}^{\lambda x} a +b \right ) y^{\prime \prime }+a \lambda \,{\mathrm e}^{\lambda x} y^{\prime }+c y = 0
\]
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| \[
{} \left ({\mathrm e}^{\lambda x} a +b \right ) y^{\prime \prime }+\left (c \,{\mathrm e}^{\lambda x}+d \right ) y^{\prime }+k \left (\left (-a k +c \right ) {\mathrm e}^{\lambda x}+d -b k \right ) y = 0
\]
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| \[
{} \left ({\mathrm e}^{\lambda x} a +b \right ) y^{\prime \prime }+\left (c \,{\mathrm e}^{\lambda x}+d \right ) y^{\prime }+\left (n \,{\mathrm e}^{\lambda x}+m \right ) y = 0
\]
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| \[
{} -y+x y^{\prime }+x^{3} y^{\prime \prime \prime } = x \ln \left (x \right )
\]
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| \[
{} 2 y+2 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 10 x +\frac {10}{x}
\]
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+y = \frac {1}{\left (1-x \right )^{2}}
\]
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| \[
{} \left (1+x \right )^{2} y^{\prime \prime }-y^{\prime } \left (1+x \right )+6 y = x
\]
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| \[
{} y+3 x y^{\prime }+9 x^{2} y^{\prime \prime }+6 x^{3} y^{\prime \prime \prime }+x^{4} y^{\prime \prime \prime \prime } = \left (\ln \left (x \right )+1\right )^{2}
\]
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| \[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-x y^{\prime }+y = \frac {1}{x}
\]
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| \[
{} x y-x^{2} y^{\prime }+y^{\prime \prime } = x
\]
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| \[
{} x y^{\prime \prime }-\left (2 x +1\right ) y^{\prime }+\left (1+x \right ) y = x^{2}-x -1
\]
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| \[
{} -2 y+2 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} -y+x y^{\prime }+\left (1-x \right ) y^{\prime \prime } = \left (1-x \right )^{2}
\]
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| \[
{} \sin \left (x \right ) y^{\prime \prime }+2 \cos \left (x \right ) y^{\prime }+3 \sin \left (x \right ) y = {\mathrm e}^{x}
\]
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| \[
{} -\left (a^{2}+1\right ) y-2 \tan \left (x \right ) y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }+4 x^{3} y^{\prime }+\left (x^{2}+1\right ) y = 0
\]
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| \[
{} -x y+2 y^{\prime }+x y^{\prime \prime } = 2 \,{\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+\left (2 \,{\mathrm e}^{x}-1\right ) y^{\prime }+y \,{\mathrm e}^{2 x} = {\mathrm e}^{4 x}
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+4 y = 0
\]
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| \[
{} y^{\prime \prime }+\tan \left (x \right ) y^{\prime }+y \cos \left (x \right )^{2} = 0
\]
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| \[
{} y+3 x^{5} y^{\prime }+x^{6} y^{\prime \prime } = \frac {1}{x^{2}}
\]
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| \[
{} -8 x^{3} y-\left (2 x^{2}+1\right ) y^{\prime }+x y^{\prime \prime } = 4 x^{3} {\mathrm e}^{-x^{2}}
\]
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| \[
{} 3 y-\left (x +3\right ) y^{\prime }+x y^{\prime \prime } = 0
\]
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| \[
{} \left (x -3\right ) y^{\prime \prime }-\left (4 x -9\right ) y^{\prime }+\left (3 x -6\right ) y = 0
\]
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| \[
{} \left (-x^{2}+2\right ) y+4 x y^{\prime }+x^{2} y^{\prime \prime } = 0
\]
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| \[
{} 2 y-2 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} x y^{\prime \prime }-\left (2 x -1\right ) y^{\prime }+\left (x -1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (x^{2}+6\right ) y = 0
\]
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| \[
{} \left (2 x^{3}-1\right ) y^{\prime \prime }-6 x^{2} y^{\prime }+6 x y = 0
\]
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| \[
{} 2 \left (1+x \right ) y-2 x \left (1+x \right ) y^{\prime }+x^{2} y^{\prime \prime } = x^{3}
\]
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| \[
{} x^{2} y^{\prime \prime }-2 n x \left (1+x \right ) y^{\prime }+\left (a^{2} x^{2}+n^{2}+n \right ) y = 0
\]
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| \[
{} x^{4} y^{\prime \prime }+2 x^{3} \left (1+x \right ) y^{\prime }+n^{2} y = 0
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = 0
\]
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| \[
{} \left (x y^{\prime \prime \prime }-y^{\prime \prime }\right )^{2} = {y^{\prime \prime \prime }}^{2}+1
\]
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| \[
{} y^{\prime \prime }+x y^{\prime } = x
\]
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| \[
{} \left (y^{\prime }-x y^{\prime \prime }\right )^{2} = 1+{y^{\prime \prime }}^{2}
\]
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| \[
{} y y^{\prime \prime }-y^{2} y^{\prime }-{y^{\prime }}^{2} = 0
\]
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| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2}+1 = 0
\]
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| \[
{} 2 y^{\prime \prime } = {\mathrm e}^{y}
\]
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| \[
{} y y^{\prime \prime }+2 y^{\prime }-{y^{\prime }}^{2} = 0
\]
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| \[
{} -2 y+2 x y^{\prime }-x^{2} y^{\prime \prime }+\left (x^{2}-2 x +2\right ) y^{\prime \prime \prime } = 0
\]
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| \[
{} y-x y^{\prime }-y^{\prime \prime }+x y^{\prime \prime \prime } = -x^{2}+1
\]
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| \[
{} y^{\prime }+\left (x +2\right ) y^{\prime \prime }+\left (x +2\right )^{2} y^{\prime \prime \prime } = 1
\]
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+y = x
\]
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| \[
{} \left (x -1\right )^{2} y^{\prime \prime }+4 \left (x -1\right ) y^{\prime }+2 y = \cos \left (x \right )
\]
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| \[
{} \left (x^{3}-x \right ) y^{\prime \prime \prime }+\left (8 x^{2}-3\right ) y^{\prime \prime }+14 x y^{\prime }+4 y = 0
\]
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| \[
{} 2 x^{3} y y^{\prime \prime \prime }+6 x^{3} y^{\prime } y^{\prime \prime }+18 x^{2} y y^{\prime \prime }+18 x^{2} {y^{\prime }}^{2}+36 y y^{\prime } x +6 y^{2} = 0
\]
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| \[
{} x^{5} y^{\prime \prime }+\left (2 x^{4}-x \right ) y^{\prime }-\left (2 x^{3}-1\right ) y = 0
\]
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| \[
{} x^{2} \left (-x^{3}+1\right ) y^{\prime \prime }-x^{3} y^{\prime }-2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime \prime }-5 x y^{\prime \prime }+\left (4 x^{4}+5\right ) y^{\prime }-8 x^{3} y = 0
\]
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| \[
{} y^{\prime \prime }+2 \cot \left (x \right ) y^{\prime }+2 \tan \left (x \right ) {y^{\prime }}^{2} = 0
\]
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| \[
{} \left (x y^{\prime }-y\right )^{2}+x^{2} y y^{\prime \prime } = 0
\]
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| \[
{} x^{3} y^{\prime \prime }-\left (x y^{\prime }-y\right )^{2} = 0
\]
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| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = \ln \left (y\right ) y^{2}-x^{2} y^{2}
\]
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| \[
{} \sin \left (x \right )^{2} y^{\prime \prime }-2 y = 0
\]
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| \[
{} y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime } = 2
\]
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| \[
{} y y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} 6 y+18 x y^{\prime }+9 x^{2} y^{\prime \prime }+\left (x^{3}+1\right ) y^{\prime \prime \prime } = 0
\]
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| \[
{} \left (x^{2}-x \right ) y^{\prime \prime }+\left (4 x +2\right ) y^{\prime }+2 y = 0
\]
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| \[
{} \left (1+\ln \left (y\right )\right ) {y^{\prime }}^{2}+\left (1-\ln \left (y\right )\right ) y y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{x} = 0
\]
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| \[
{} x^{2}+2 y+4 \left (x +y\right ) y^{\prime }+2 x {y^{\prime }}^{2}+x \left (2 y+x \right ) y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }+{y^{\prime }}^{2}+1 = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-\frac {y^{\prime }}{x}+x^{2} = 0
\]
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| \[
{} y^{\prime }+8 x y^{\prime \prime }+4 x^{2} y^{\prime \prime \prime } = 0
\]
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| \[
{} \sin \left (x \right ) y^{\prime \prime }-\cos \left (x \right ) y^{\prime }+2 \sin \left (x \right ) y = 0
\]
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| \[
{} t^{2} x^{\prime \prime }-6 x = 0
\]
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| \[
{} x^{\prime }+t x^{\prime \prime } = 1
\]
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| \[
{} \frac {x^{\prime }+t x^{\prime \prime }}{t} = -2
\]
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| \[
{} x^{\prime \prime } = -\frac {x}{t^{2}}
\]
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| \[
{} x^{\prime \prime } = \frac {4 x}{t^{2}}
\]
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| \[
{} t^{2} x^{\prime \prime }+3 t x^{\prime }+x = 0
\]
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| \[
{} t x^{\prime \prime }+4 x^{\prime }+\frac {2 x}{t} = 0
\]
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| \[
{} t^{2} x^{\prime \prime }-7 t x^{\prime }+16 x = 0
\]
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| \[
{} t^{2} x^{\prime \prime }+3 t x^{\prime }-8 x = 0
\]
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| \[
{} t^{2} x^{\prime \prime }+t x^{\prime } = 0
\]
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| \[
{} t^{2} x^{\prime \prime }-t x^{\prime }+2 x = 0
\]
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| \[
{} x^{\prime \prime }+t^{2} x^{\prime } = 0
\]
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| \[
{} t^{2} x^{\prime \prime }-2 x = t^{3}
\]
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| \[
{} x^{\prime \prime }+\frac {x^{\prime }}{t} = a
\]
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| \[
{} t^{2} x^{\prime \prime }-3 t x^{\prime }+3 x = 4 t^{7}
\]
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| \[
{} x^{\prime \prime }+t x^{\prime }+x = 0
\]
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