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Mathematica |
Maple |
Sympy |
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\[
{} t y^{\prime }+4 y = t^{2}-t +1
\]
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\[
{} \frac {2 y}{t}+y^{\prime } = \frac {\cos \left (t \right )}{t^{2}}
\]
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\[
{} -2 y+y^{\prime } = {\mathrm e}^{2 t}
\]
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\[
{} 2 y+t y^{\prime } = \sin \left (t \right )
\]
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\[
{} 4 t^{2} y+t^{3} y^{\prime } = {\mathrm e}^{-t}
\]
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\[
{} \left (t +1\right ) y+t y^{\prime } = t
\]
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\[
{} y^{\prime }-\frac {y}{3} = 3 \cos \left (t \right )
\]
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\[
{} -y+2 y^{\prime } = {\mathrm e}^{\frac {t}{3}}
\]
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\[
{} -2 y+3 y^{\prime } = {\mathrm e}^{-\frac {\pi t}{2}}
\]
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\[
{} \left (t +1\right ) y+t y^{\prime } = 2 t \,{\mathrm e}^{-t}
\]
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\[
{} 2 y+t y^{\prime } = \frac {\sin \left (t \right )}{t}
\]
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\[
{} \cos \left (t \right ) y+\sin \left (t \right ) y^{\prime } = {\mathrm e}^{t}
\]
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\[
{} \frac {y}{2}+y^{\prime } = 2 \cos \left (t \right )
\]
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\[
{} y^{\prime }+\frac {4 y}{3} = 1-\frac {t}{4}
\]
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\[
{} \frac {y}{4}+y^{\prime } = 3+2 \cos \left (2 t \right )
\]
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\[
{} -y+y^{\prime } = 1+3 \sin \left (t \right )
\]
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\[
{} -\frac {3 y}{2}+y^{\prime } = 3 t +3 \,{\mathrm e}^{t}
\]
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\[
{} y^{\prime }-6 y = t^{6} {\mathrm e}^{6 t}
\]
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\[
{} \frac {y}{t}+y^{\prime } = 3 \cos \left (2 t \right )
\]
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\[
{} 2 y+t y^{\prime } = \sin \left (t \right )
\]
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\[
{} y+2 y^{\prime } = 3 t^{2}
\]
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\[
{} \ln \left (t \right ) y+\left (t -3\right ) y^{\prime } = 2 t
\]
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\[
{} y+\left (-4+t \right ) t y^{\prime } = 0
\]
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\[
{} \tan \left (t \right ) y+y^{\prime } = \sin \left (t \right )
\]
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\[
{} 2 t y+\left (-t^{2}+4\right ) y^{\prime } = 3 t^{2}
\]
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\[
{} 2 t y+\left (-t^{2}+4\right ) y^{\prime } = 3 t^{2}
\]
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\[
{} y+\ln \left (t \right ) y^{\prime } = \cot \left (t \right )
\]
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\[
{} y^{\prime } = \frac {t -y}{2 t +5 y}
\]
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\[
{} y^{\prime } = \sqrt {1-t^{2}-y^{2}}
\]
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\[
{} y^{\prime } = \frac {\ln \left (t y\right )}{1-t^{2}+y^{2}}
\]
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\[
{} y^{\prime } = \left (t^{2}+y^{2}\right )^{{3}/{2}}
\]
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\[
{} y^{\prime } = \frac {t^{2}+1}{3 y-y^{2}}
\]
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\[
{} y^{\prime } = \frac {\cot \left (t \right ) y}{y+1}
\]
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\[
{} y^{\prime } = y^{{1}/{3}}
\]
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\[
{} y^{\prime } = -\frac {t}{2}+\frac {\sqrt {t^{2}+4 y}}{2}
\]
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\[
{} y^{\prime } = -\frac {4 t}{y}
\]
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\[
{} y^{\prime } = 2 t y^{2}
\]
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\[
{} y^{3}+y^{\prime } = 0
\]
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\[
{} y^{\prime } = \frac {t^{2}}{\left (t^{3}+1\right ) y}
\]
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\[
{} y^{\prime } = t \left (3-y\right ) y
\]
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\[
{} y^{\prime } = y \left (3-t y\right )
\]
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\[
{} y^{\prime } = -y \left (3-t y\right )
\]
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\[
{} y^{\prime }+2 y = \left \{\begin {array}{cc} 1 & 0\le t \le 1 \\ 0 & 1<t \end {array}\right .
\]
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\[
{} y^{\prime }+\left (\left \{\begin {array}{cc} 2 & 0\le t \le 1 \\ 1 & 1<t \end {array}\right .\right ) y = 0
\]
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\[
{} 3+2 x +\left (-2+2 y\right ) y^{\prime } = 0
\]
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\[
{} 2 x +4 y+\left (2 x -2 y\right ) y^{\prime } = 0
\]
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\[
{} 2+3 x^{2}-2 x y+\left (3-x^{2}+6 y^{2}\right ) y^{\prime } = 0
\]
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\[
{} 2 y+2 x y^{2}+\left (2 x +2 x^{2} y\right ) y^{\prime } = 0
\]
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\[
{} y^{\prime } = -\frac {4 x +2 y}{2 x +3 y}
\]
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\[
{} y^{\prime } = -\frac {4 x -2 y}{2 x -3 y}
\]
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\[
{} {\mathrm e}^{x} \sin \left (y\right )-2 y \sin \left (x \right )+\left (2 \cos \left (x \right )+{\mathrm e}^{x} \cos \left (y\right )\right ) y^{\prime } = 0
\]
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\[
{} {\mathrm e}^{x} \sin \left (y\right )+3 y-\left (3 x -{\mathrm e}^{x} \sin \left (y\right )\right ) y^{\prime } = 0
\]
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\[
{} 2 x -2 \,{\mathrm e}^{x y} \sin \left (2 x \right )+{\mathrm e}^{x y} \cos \left (2 x \right ) y+\left (-3+{\mathrm e}^{x y} x \cos \left (2 x \right )\right ) y^{\prime } = 0
\]
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\[
{} \frac {y}{x}+6 x +\left (\ln \left (x \right )-2\right ) y^{\prime } = 0
\]
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\[
{} x \ln \left (y\right )+x y+\left (y \ln \left (x \right )+x y\right ) y^{\prime } = 0
\]
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\[
{} \frac {x}{\left (x^{2}+y^{2}\right )^{{3}/{2}}}+\frac {y y^{\prime }}{\left (x^{2}+y^{2}\right )^{{3}/{2}}} = 0
\]
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\[
{} 2 x -y+\left (2 y-x \right ) y^{\prime } = 0
\]
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\[
{} 9 x^{2}+y-1-\left (4 y-x \right ) y^{\prime } = 0
\]
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\[
{} x^{2} y^{3}+x \left (1+y^{2}\right ) y^{\prime } = 0
\]
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\[
{} \frac {\sin \left (y\right )}{y}-2 \,{\mathrm e}^{-x} \sin \left (x \right )+\frac {\left (\cos \left (y\right )+2 \,{\mathrm e}^{-x} \cos \left (x \right )\right ) y^{\prime }}{y} = 0
\]
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\[
{} y+\left (2 x -{\mathrm e}^{y} y\right ) y^{\prime } = 0
\]
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\[
{} \left (x +2\right ) \sin \left (y\right )+x \cos \left (y\right ) y^{\prime } = 0
\]
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\[
{} 2 x y+3 x^{2} y+y^{3}+\left (x^{2}+y^{2}\right ) y^{\prime } = 0
\]
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\[
{} y^{\prime } = -1+{\mathrm e}^{2 x}+y
\]
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\[
{} \frac {y^{\prime }}{-\sin \left (y\right )+\frac {x}{y}} = 0
\]
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\[
{} y+\left (-{\mathrm e}^{-2 y}+2 x y\right ) y^{\prime } = 0
\]
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\[
{} {\mathrm e}^{x}+\left ({\mathrm e}^{x} \cot \left (y\right )+2 \csc \left (y\right ) y\right ) y^{\prime } = 0
\]
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\[
{} \frac {4 x^{3}}{y^{2}}+\frac {12}{y}+3 \left (\frac {x}{y^{2}}+4 y\right ) y^{\prime } = 0
\]
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\[
{} 3 x +\frac {6}{y}+\left (\frac {x^{2}}{y}+\frac {3 y}{x}\right ) y^{\prime } = 0
\]
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\[
{} 3 x y+y^{2}+\left (x^{2}+x y\right ) y^{\prime } = 0
\]
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\[
{} y y^{\prime } = 1+x
\]
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\[
{} \left (1+y^{4}\right ) y^{\prime } = x^{4}+1
\]
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\[
{} \frac {\left (3 x^{3}-x y^{2}\right ) y^{\prime }}{y^{3}+3 x^{2} y} = 1
\]
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\[
{} x \left (x -1\right ) y^{\prime } = y \left (1+y\right )
\]
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\[
{} y+\sqrt {-y^{2}+x^{2}} = x y^{\prime }
\]
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\[
{} x y y^{\prime } = \left (x +y\right )^{2}
\]
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\[
{} y^{\prime } = \frac {4 y-7 x}{5 x -y}
\]
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\[
{} x y^{\prime }-4 \sqrt {y^{2}-x^{2}} = y
\]
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\[
{} y^{\prime } = \frac {y^{4}+2 x y^{3}-3 x^{2} y^{2}-2 x^{3} y}{2 x^{2} y^{2}-2 x^{3} y-2 x^{4}}
\]
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\[
{} \left (y+x \,{\mathrm e}^{\frac {x}{y}}\right ) y^{\prime } = y \,{\mathrm e}^{\frac {x}{y}}
\]
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\[
{} x y y^{\prime } = x^{2}+y^{2}
\]
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\[
{} y^{\prime } = \frac {x +y}{x -y}
\]
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\[
{} t y^{\prime }+y = t^{2} y^{2}
\]
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\[
{} y^{\prime } = y \left (t y^{3}-1\right )
\]
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\[
{} y^{\prime }+\frac {3 y}{t} = t^{2} y^{2}
\]
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\[
{} t^{2} y^{\prime }+2 t y-y^{3} = 0
\]
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\[
{} 5 \left (t^{2}+1\right ) y^{\prime } = 4 t y \left (y^{3}-1\right )
\]
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\[
{} 3 t y^{\prime }+9 y = 2 t y^{{5}/{3}}
\]
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\[
{} y^{\prime } = y+\sqrt {y}
\]
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\[
{} y^{\prime } = r y-k^{2} y^{2}
\]
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\[
{} y^{\prime } = a y+b y^{3}
\]
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\[
{} y^{\prime }+3 t y = 4-4 t^{2}+y^{2}
\]
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\[
{} \left (3 x-y \right ) x^{\prime }+9 y -2 x = 0
\]
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\[
{} 1 = \left (3 \,{\mathrm e}^{y}-2 x \right ) y^{\prime }
\]
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\[
{} y^{\prime }-4 y^{2} {\mathrm e}^{x} = y
\]
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\[
{} x y^{\prime }+\left (1+x \right ) y = x
\]
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\[
{} y^{\prime } = \frac {x y^{2}-\frac {\sin \left (2 x \right )}{2}}{\left (-x^{2}+1\right ) y}
\]
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\[
{} \frac {\sqrt {x}\, y^{\prime }}{y} = 1
\]
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\[
{} 5 x y^{2}+5 y+\left (5 x^{2} y+5 x \right ) y^{\prime } = 0
\]
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\[
{} 2 x y y^{\prime }+\ln \left (x \right ) = -y^{2}-1
\]
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