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Mathematica |
Maple |
Sympy |
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\[
{} x \left (y^{2}-3 x \right ) y^{\prime }+2 y^{3}-5 x y = 0
\]
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\[
{} x \left (y^{2}+x^{2}-a \right ) y^{\prime }-y \left (y^{2}+x^{2}+a \right ) = 0
\]
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\[
{} x \left (y^{2}+x y-x^{2}\right ) y^{\prime }-y^{3}+x y^{2}+x^{2} y = 0
\]
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\[
{} x \left (y^{2}+x^{2} y+x^{2}\right ) y^{\prime }-2 y^{3}-2 x^{2} y^{2}+x^{4} = 0
\]
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\[
{} 2 x \left (y^{2}+5 x^{2}\right ) y^{\prime }+y^{3}-x^{2} y = 0
\]
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\[
{} 3 x y^{2} y^{\prime }+y^{3}-2 x = 0
\]
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\[
{} \left (3 x y^{2}-x^{2}\right ) y^{\prime }+y^{3}-2 x y = 0
\]
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\[
{} 6 x y^{2} y^{\prime }+2 y^{3}+x = 0
\]
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\[
{} \left (6 x y^{2}+x^{2}\right ) y^{\prime }-y \left (3 y^{2}-x \right ) = 0
\]
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\[
{} \left (x^{2} y^{2}+x \right ) y^{\prime }+y = 0
\]
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\[
{} \left (x y-1\right )^{2} x y^{\prime }+\left (x^{2} y^{2}+1\right ) y = 0
\]
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\[
{} \left (10 x^{3} y^{2}+x^{2} y+2 x \right ) y^{\prime }+5 x^{2} y^{3}+x y^{2} = 0
\]
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\[
{} \left (y^{3}-3 x \right ) y^{\prime }-3 y+x^{2} = 0
\]
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\[
{} \left (y^{3}-x^{3}\right ) y^{\prime }-x^{2} y = 0
\]
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\[
{} \left (y^{2}+x^{2}+a \right ) y y^{\prime }+\left (y^{2}+x^{2}-a \right ) x = 0
\]
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\[
{} 2 y^{3} y^{\prime }+x y^{2} = 0
\]
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\[
{} \left (2 y^{3}+y\right ) y^{\prime }-2 x^{3}-x = 0
\]
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\[
{} \left (2 y^{3}+5 x^{2} y\right ) y^{\prime }+5 x y^{2}+x^{3} = 0
\]
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\[
{} \left (20 y^{3}-3 x y^{2}+6 x^{2} y+3 x^{3}\right ) y^{\prime }-y^{3}+6 x y^{2}+9 x^{2} y+4 x^{3} = 0
\]
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\[
{} \left (\frac {y^{2}}{b}+\frac {x^{2}}{a}\right ) \left (y y^{\prime }+x \right )+\frac {\left (a -b \right ) \left (y y^{\prime }-x \right )}{a +b} = 0
\]
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\[
{} \left (2 a y^{3}+3 a x y^{2}-b \,x^{3}+c \,x^{2}\right ) y^{\prime }-a y^{3}+c y^{2}+3 b \,x^{2} y+2 b \,x^{3} = 0
\]
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\[
{} x y^{3} y^{\prime }+y^{4}-x \sin \left (x \right ) = 0
\]
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\[
{} \left (2 x y^{3}-x^{4}\right ) y^{\prime }-y^{4}+2 x^{3} y = 0
\]
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\[
{} \left (2 x y^{3}+y\right ) y^{\prime }+2 y^{2} = 0
\]
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\[
{} \left (2 x y^{3}+x y+x^{2}\right ) y^{\prime }+y^{2}-x y = 0
\]
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\[
{} \left (3 x y^{3}-4 x y+y\right ) y^{\prime }+y^{2} \left (y^{2}-2\right ) = 0
\]
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\[
{} \left (7 x y^{3}+y-5 x \right ) y^{\prime }+y^{4}-5 y = 0
\]
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\[
{} \left (x^{2} y^{3}+x y\right ) y^{\prime }-1 = 0
\]
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\[
{} \left (2 x^{2} y^{3}+x^{2} y^{2}-2 x \right ) y^{\prime }-2 y-1 = 0
\]
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\[
{} \left (10 x^{2} y^{3}-3 y^{2}-2\right ) y^{\prime }+5 y^{4} x +x = 0
\]
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\[
{} \left (a x y^{3}+c \right ) x y^{\prime }+\left (b \,x^{3} y+c \right ) y = 0
\]
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\[
{} \left (2 x^{3} y^{3}-x \right ) y^{\prime }+2 x^{3} y^{3}-y = 0
\]
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\[
{} y \left (y^{3}-2 x^{3}\right ) y^{\prime }+\left (2 y^{3}-x^{3}\right ) x = 0
\]
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\[
{} y \left (\left (a y+b x \right )^{3}+b \,x^{3}\right ) y^{\prime }+x \left (\left (a y+b x \right )^{3}+a y^{3}\right ) = 0
\]
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\[
{} \left (y^{4} x +2 x^{2} y^{3}+2 y+x \right ) y^{\prime }+y^{5}+y = 0
\]
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\[
{} a \,x^{2} y^{n} y^{\prime }-2 x y^{\prime }+y = 0
\]
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\[
{} y^{m} x^{n} \left (a x y^{\prime }+b y\right )+\alpha x y^{\prime }+\beta y = 0
\]
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\[
{} \left (f \left (x +y\right )+1\right ) y^{\prime }+f \left (x +y\right ) = 0
\]
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\[
{} \left (\sqrt {x y}-1\right ) x y^{\prime }-\left (\sqrt {x y}+1\right ) y = 0
\]
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\[
{} \left (2 x^{{5}/{2}} y^{{3}/{2}}+x^{2} y-x \right ) y^{\prime }-x^{{3}/{2}} y^{{5}/{2}}+x y^{2}-y = 0
\]
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\[
{} \left (\sqrt {x +y}+1\right ) y^{\prime }+1 = 0
\]
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\[
{} \sqrt {-1+y^{2}}\, y^{\prime }-\sqrt {x^{2}-1} = 0
\]
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\[
{} \left (\sqrt {1+y^{2}}+a x \right ) y^{\prime }+\sqrt {x^{2}+1}+a y = 0
\]
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\[
{} \left (\sqrt {x^{2}+y^{2}}+x \right ) y^{\prime }-y = 0
\]
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\[
{} \left (y \sqrt {x^{2}+y^{2}}+\left (y^{2}-x^{2}\right ) \sin \left (\alpha \right )-2 x y \cos \left (\alpha \right )\right ) y^{\prime }+x \sqrt {x^{2}+y^{2}}+2 x y \sin \left (\alpha \right )+\left (y^{2}-x^{2}\right ) \cos \left (\alpha \right ) = 0
\]
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\[
{} \left (x \sqrt {1+x^{2}+y^{2}}-y \left (x^{2}+y^{2}\right )\right ) y^{\prime }-y \sqrt {1+x^{2}+y^{2}}-x \left (x^{2}+y^{2}\right ) = 0
\]
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\[
{} \left (\frac {\operatorname {e1} \left (x +a \right )}{\left (\left (x +a \right )^{2}+y^{2}\right )^{{3}/{2}}}+\frac {\operatorname {e2} \left (-a +x \right )}{\left (\left (-a +x \right )^{2}+y^{2}\right )^{{3}/{2}}}\right ) y^{\prime }-y \left (\frac {\operatorname {e1}}{\left (\left (x +a \right )^{2}+y^{2}\right )^{{3}/{2}}}+\frac {\operatorname {e2}}{\left (\left (-a +x \right )^{2}+y^{2}\right )^{{3}/{2}}}\right ) = 0
\]
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\[
{} \left (x \,{\mathrm e}^{y}+{\mathrm e}^{x}\right ) y^{\prime }+{\mathrm e}^{y}+y \,{\mathrm e}^{x} = 0
\]
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\[
{} x \left (3 \,{\mathrm e}^{x y}+2 \,{\mathrm e}^{-x y}\right ) \left (x y^{\prime }+y\right )+1 = 0
\]
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\[
{} \left (\ln \left (y\right )+x \right ) y^{\prime }-1 = 0
\]
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\[
{} \left (\ln \left (y\right )+2 x -1\right ) y^{\prime }-2 y = 0
\]
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\[
{} x \left (2 x^{2} y \ln \left (y\right )+1\right ) y^{\prime }-2 y = 0
\]
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\[
{} x \left (y \ln \left (x y\right )+y-a x \right ) y^{\prime }-y \left (a x \ln \left (x y\right )-y+a x \right ) = 0
\]
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\[
{} y^{\prime } \left (\sin \left (x \right )+1\right ) \sin \left (y\right )+\cos \left (x \right ) \left (\cos \left (y\right )-1\right ) = 0
\]
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\[
{} \left (x \cos \left (y\right )+\sin \left (x \right )\right ) y^{\prime }+\cos \left (x \right ) y+\sin \left (y\right ) = 0
\]
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\[
{} x y^{\prime } \cot \left (\frac {y}{x}\right )+2 x \sin \left (\frac {y}{x}\right )-y \cot \left (\frac {y}{x}\right ) = 0
\]
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\[
{} y^{\prime } \cos \left (y\right )-\cos \left (x \right ) \sin \left (y\right )^{2}-\sin \left (y\right ) = 0
\]
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\[
{} y^{\prime } \cos \left (y\right )+x \sin \left (y\right ) \cos \left (y\right )^{2}-\sin \left (y\right )^{3} = 0
\]
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\[
{} y^{\prime } \left (\cos \left (y\right )-\sin \left (\alpha \right ) \sin \left (x \right )\right ) \cos \left (y\right )+\left (\cos \left (x \right )-\sin \left (\alpha \right ) \sin \left (y\right )\right ) \cos \left (x \right ) = 0
\]
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\[
{} x \cos \left (y\right ) y^{\prime }+\sin \left (y\right ) = 0
\]
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\[
{} \left (\sin \left (y\right ) x -1\right ) y^{\prime }+\cos \left (y\right ) = 0
\]
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\[
{} \left (x \cos \left (y\right )+\cos \left (x \right )\right ) y^{\prime }-\sin \left (x \right ) y+\sin \left (y\right ) = 0
\]
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\[
{} \left (x^{2} \cos \left (y\right )+2 \sin \left (x \right ) y\right ) y^{\prime }+2 \sin \left (y\right ) x +y^{2} \cos \left (x \right ) = 0
\]
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\[
{} x y^{\prime } \ln \left (x \right ) \sin \left (y\right )+\cos \left (y\right ) \left (1-x \cos \left (y\right )\right ) = 0
\]
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\[
{} y^{\prime } \sin \left (y\right ) \cos \left (x \right )+\cos \left (y\right ) \sin \left (x \right ) = 0
\]
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\[
{} 3 y^{\prime } \sin \left (x \right ) \sin \left (y\right )+5 \cos \left (x \right )^{4} y = 0
\]
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\[
{} y^{\prime } \cos \left (a y\right )-b \left (1-c \cos \left (a y\right )\right ) \sqrt {\cos \left (a y\right )^{2}-1+c \cos \left (a y\right )} = 0
\]
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\[
{} \left (x \sin \left (x y\right )+\cos \left (x +y\right )-\sin \left (y\right )\right ) y^{\prime }+y \sin \left (x y\right )+\cos \left (x +y\right )+\cos \left (x \right ) = 0
\]
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\[
{} \left (x^{2} y \sin \left (x y\right )-4 x \right ) y^{\prime }+x y^{2} \sin \left (x y\right )-y = 0
\]
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\[
{} \left (x y^{\prime }-y\right ) \cos \left (\frac {y}{x}\right )^{2}+x = 0
\]
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\[
{} \left (y \sin \left (\frac {y}{x}\right )-x \cos \left (\frac {y}{x}\right )\right ) x y^{\prime }-\left (x \cos \left (\frac {y}{x}\right )+y \sin \left (\frac {y}{x}\right )\right ) y = 0
\]
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\[
{} \left (y f \left (x^{2}+y^{2}\right )-x \right ) y^{\prime }+y+x f \left (x^{2}+y^{2}\right ) = 0
\]
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\[
{} f \left (x^{2}+y^{2} a \right ) \left (a y y^{\prime }+x \right )-y-x y^{\prime } = 0
\]
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\[
{} {y^{\prime }}^{2}+a y+b \,x^{2} = 0
\]
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\[
{} {y^{\prime }}^{2}+y^{2}-a^{2} = 0
\]
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\[
{} {y^{\prime }}^{2}-y^{3}+y^{2} = 0
\]
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\[
{} {y^{\prime }}^{2}-4 y^{3}+a y+b = 0
\]
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\[
{} {y^{\prime }}^{2}+a^{2} y^{2} \left (\ln \left (y\right )^{2}-1\right ) = 0
\]
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\[
{} {y^{\prime }}^{2}-2 y^{\prime }-y^{2} = 0
\]
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\[
{} {y^{\prime }}^{2}+a y^{\prime }+b x = 0
\]
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\[
{} {y^{\prime }}^{2}+a y^{\prime }+b y = 0
\]
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\[
{} {y^{\prime }}^{2}+\left (x -2\right ) y^{\prime }-y+1 = 0
\]
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\[
{} {y^{\prime }}^{2}+\left (x +a \right ) y^{\prime }-y = 0
\]
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\[
{} {y^{\prime }}^{2}-\left (1+x \right ) y^{\prime }+y = 0
\]
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\[
{} {y^{\prime }}^{2}+2 x y^{\prime }-y = 0
\]
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\[
{} {y^{\prime }}^{2}-2 x y^{\prime }+y = 0
\]
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\[
{} {y^{\prime }}^{2}+a x y^{\prime }-b \,x^{2}-c = 0
\]
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\[
{} {y^{\prime }}^{2}+a x y^{\prime }+b y+c \,x^{2} = 0
\]
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\[
{} {y^{\prime }}^{2}+\left (a x +b \right ) y^{\prime }-a y+c = 0
\]
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\[
{} {y^{\prime }}^{2}-2 x^{2} y^{\prime }+2 x y = 0
\]
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\[
{} {y^{\prime }}^{2}+a \,x^{3} y^{\prime }-2 a \,x^{2} y = 0
\]
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\[
{} {y^{\prime }}^{2}+\left (y^{\prime }-y\right ) {\mathrm e}^{x} = 0
\]
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\[
{} {y^{\prime }}^{2}-2 y y^{\prime }-2 x = 0
\]
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\[
{} {y^{\prime }}^{2}-\left (4 y+1\right ) y^{\prime }+\left (4 y+1\right ) y = 0
\]
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\[
{} {y^{\prime }}^{2}+a y y^{\prime }-b x -c = 0
\]
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\[
{} {y^{\prime }}^{2}+\left (a y+b x \right ) y^{\prime }+a b x y = 0
\]
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\[
{} {y^{\prime }}^{2}-x y y^{\prime }+y^{2} \ln \left (a y\right ) = 0
\]
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\[
{} {y^{\prime }}^{2}+2 y y^{\prime } \cot \left (x \right )-y^{2} = 0
\]
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\[
{} {y^{\prime }}^{2}+y \left (y-x \right ) y^{\prime }-x y^{3} = 0
\]
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\[
{} {y^{\prime }}^{2}-2 x^{3} y^{2} y^{\prime }-4 x^{2} y^{3} = 0
\]
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