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ODE |
Mathematica |
Maple |
Sympy |
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\[
{} y^{\prime } = \frac {x \left (-1+y^{2}\right )}{2 \left (x -2\right ) \left (x -1\right )}
\]
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\[
{} y^{\prime } = \frac {x^{2} y-32}{-x^{2}+16}+2
\]
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\[
{} \left (-a +x \right ) \left (x -b \right ) y^{\prime }-y+c = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime }+y^{2} = -1
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime }+x y = a x
\]
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\[
{} y^{\prime } = 1-\frac {\sin \left (x +y\right )}{\sin \left (y\right ) \cos \left (x \right )}
\]
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\[
{} y^{\prime } = y^{3} \sin \left (x \right )
\]
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\[
{} y^{\prime } = \frac {2 \sqrt {-1+y}}{3}
\]
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\[
{} m v^{\prime } = m g -k v^{2}
\]
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\[
{} y^{\prime }+y = 4 \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime }+\frac {2 y}{x} = 5 x^{2}
\]
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\[
{} x^{2} y^{\prime }-4 x y = x^{7} \sin \left (x \right )
\]
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\[
{} y^{\prime }+2 x y = 2 x^{3}
\]
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\[
{} y^{\prime }+\frac {2 x y}{-x^{2}+1} = 4 x
\]
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\[
{} y^{\prime }+\frac {2 x y}{x^{2}+1} = \frac {4}{\left (x^{2}+1\right )^{2}}
\]
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\[
{} 2 \cos \left (x \right )^{2} y^{\prime }+y \sin \left (2 x \right ) = 4 \cos \left (x \right )^{4}
\]
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\[
{} y^{\prime }+\frac {y}{x \ln \left (x \right )} = 9 x^{2}
\]
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\[
{} y^{\prime }-y \tan \left (x \right ) = 8 \sin \left (x \right )^{3}
\]
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\[
{} t x^{\prime }+2 x = 4 \,{\mathrm e}^{t}
\]
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\[
{} y^{\prime } = \sin \left (x \right ) \left (y \sec \left (x \right )-2\right )
\]
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\[
{} 1-y \sin \left (x \right )-\cos \left (x \right ) y^{\prime } = 0
\]
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\[
{} y^{\prime }-\frac {y}{x} = 2 \ln \left (x \right ) x^{2}
\]
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\[
{} y^{\prime }+\alpha y = {\mathrm e}^{\beta x}
\]
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\[
{} y^{\prime }+\frac {m y}{x} = \ln \left (x \right )
\]
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\[
{} y^{\prime }+\frac {2 y}{x} = 4 x
\]
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\[
{} \sin \left (x \right ) y^{\prime }-\cos \left (x \right ) y = \sin \left (2 x \right )
\]
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\[
{} x^{\prime }+\frac {2 x}{-t +4} = 5
\]
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\[
{} y-{\mathrm e}^{x}+y^{\prime } = 0
\]
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\[
{} y^{\prime }-2 y = \left \{\begin {array}{cc} 1 & x \le 1 \\ 0 & 1<x \end {array}\right .
\]
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\[
{} y^{\prime }-2 y = \left \{\begin {array}{cc} 1-x & x <1 \\ 0 & 1\le x \end {array}\right .
\]
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\[
{} y^{\prime \prime }+\frac {y^{\prime }}{x} = 9 x
\]
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\[
{} y^{\prime }+\frac {y}{x} = \cos \left (x \right )
\]
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\[
{} y^{\prime }+y = {\mathrm e}^{-2 x}
\]
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\[
{} y^{\prime }+\cot \left (x \right ) y = 2 \cos \left (x \right )
\]
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\[
{} x y^{\prime }-y = \ln \left (x \right ) x^{2}
\]
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\[
{} y^{\prime } = \frac {y^{2}+x y+x^{2}}{x^{2}}
\]
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\[
{} \left (3 x -y\right ) y^{\prime } = 3 y
\]
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\[
{} y^{\prime } = \frac {\left (x +y\right )^{2}}{2 x^{2}}
\]
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\[
{} \sin \left (\frac {y}{x}\right ) \left (x y^{\prime }-y\right ) = x \cos \left (\frac {y}{x}\right )
\]
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\[
{} x y^{\prime } = \sqrt {16 x^{2}-y^{2}}+y
\]
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\[
{} x y^{\prime }-y = \sqrt {9 x^{2}+y^{2}}
\]
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\[
{} y \left (x^{2}-y^{2}\right )-x \left (x^{2}-y^{2}\right ) y^{\prime } = 0
\]
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\[
{} x y^{\prime }+y \ln \left (x \right ) = y \ln \left (y\right )
\]
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\[
{} y^{\prime } = \frac {y^{2}+2 x y-2 x^{2}}{x^{2}-x y+y^{2}}
\]
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\[
{} 2 x y y^{\prime }-x^{2} {\mathrm e}^{-\frac {y^{2}}{x^{2}}}-2 y^{2} = 0
\]
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\[
{} x^{2} y^{\prime } = y^{2}+3 x y+x^{2}
\]
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\[
{} y y^{\prime } = \sqrt {x^{2}+y^{2}}-x
\]
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\[
{} 2 x \left (y+2 x \right ) y^{\prime } = y \left (4 x -y\right )
\]
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\[
{} x y^{\prime } = x \tan \left (\frac {y}{x}\right )+y
\]
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\[
{} y^{\prime } = \frac {x \sqrt {x^{2}+y^{2}}+y^{2}}{x y}
\]
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\[
{} y^{\prime } = \frac {4 y-2 x}{x +y}
\]
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\[
{} y^{\prime } = \frac {2 x -y}{x +4 y}
\]
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\[
{} y^{\prime } = \frac {y-\sqrt {x^{2}+y^{2}}}{x}
\]
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\[
{} x y^{\prime }-y = \sqrt {4 x^{2}-y^{2}}
\]
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\[
{} y^{\prime } = \frac {a y+x}{a x -y}
\]
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\[
{} y^{\prime } = \frac {x +\frac {y}{2}}{\frac {x}{2}-y}
\]
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\[
{} y^{\prime }-\frac {y}{x} = \frac {4 x^{2} \cos \left (x \right )}{y}
\]
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\[
{} y^{\prime }+\frac {y \tan \left (x \right )}{2} = 2 y^{3} \sin \left (x \right )
\]
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\[
{} y^{\prime }-\frac {3 y}{2 x} = 6 y^{{1}/{3}} x^{2} \ln \left (x \right )
\]
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\[
{} y^{\prime }+\frac {2 y}{x} = 6 \sqrt {x^{2}+1}\, \sqrt {y}
\]
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\[
{} y^{\prime }+\frac {2 y}{x} = 6 y^{2} x^{4}
\]
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\[
{} 2 x \left (y^{\prime }+x^{2} y^{3}\right )+y = 0
\]
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\[
{} \left (-a +x \right ) \left (x -b \right ) \left (y^{\prime }-\sqrt {y}\right ) = 2 \left (b -a \right ) y
\]
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\[
{} y^{\prime }+\frac {6 y}{x} = \frac {3 y^{{2}/{3}} \cos \left (x \right )}{x}
\]
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\[
{} y^{\prime }+4 x y = 4 x^{3} \sqrt {y}
\]
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\[
{} y^{\prime }-\frac {y}{2 x \ln \left (x \right )} = 2 x y^{3}
\]
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\[
{} y^{\prime }-\frac {y}{\left (\pi -1\right ) x} = \frac {3 x y^{\pi }}{1-\pi }
\]
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\[
{} 2 y^{\prime }+\cot \left (x \right ) y = \frac {8 \cos \left (x \right )^{3}}{y}
\]
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\[
{} \left (1-\sqrt {3}\right ) y^{\prime }+y \sec \left (x \right ) = y^{\sqrt {3}} \sec \left (x \right )
\]
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\[
{} y^{\prime }+\frac {2 x y}{x^{2}+1} = x y^{2}
\]
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\[
{} y^{\prime }+\cot \left (x \right ) y = y^{3} \sin \left (x \right )^{3}
\]
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\[
{} y^{\prime } = \left (9 x -y\right )^{2}
\]
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\[
{} y^{\prime } = \left (4 x +y+2\right )^{2}
\]
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\[
{} y^{\prime } = \sin \left (3 x -3 y+1\right )^{2}
\]
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\[
{} y^{\prime } = \frac {y \left (\ln \left (x y\right )-1\right )}{x}
\]
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\[
{} y^{\prime } = 2 x \left (x +y\right )^{2}-1
\]
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\[
{} y^{\prime } = \frac {x +2 y-1}{2 x -y+3}
\]
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\[
{} y^{\prime }+p \left (x \right ) y+q \left (x \right ) y^{2} = r \left (x \right )
\]
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\[
{} y^{\prime }+\frac {2 y}{x}-y^{2} = -\frac {2}{x^{2}}
\]
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\[
{} y^{\prime }+\frac {7 y}{x}-3 y^{2} = \frac {3}{x^{2}}
\]
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\[
{} \frac {y^{\prime }}{y}+p \left (x \right ) \ln \left (y\right ) = q \left (x \right )
\]
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\[
{} \frac {y^{\prime }}{y}-\frac {2 \ln \left (y\right )}{x} = \frac {1-2 \ln \left (x \right )}{x}
\]
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\[
{} \sec \left (y\right )^{2} y^{\prime }+\frac {\tan \left (y\right )}{2 \sqrt {1+x}} = \frac {1}{2 \sqrt {1+x}}
\]
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\[
{} y \,{\mathrm e}^{x y}+\left (2 y-x \,{\mathrm e}^{x y}\right ) y^{\prime } = 0
\]
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\[
{} \cos \left (x y\right )-x y \sin \left (x y\right )-x^{2} \sin \left (x y\right ) y^{\prime } = 0
\]
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\[
{} y+3 x^{2}+x y^{\prime } = 0
\]
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\[
{} 2 x \,{\mathrm e}^{y}+\left (3 y^{2}+x^{2} {\mathrm e}^{y}\right ) y^{\prime } = 0
\]
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\[
{} 2 x y+\left (x^{2}+1\right ) y^{\prime } = 0
\]
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\[
{} y^{2}-2 x +2 x y y^{\prime } = 0
\]
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\[
{} 4 \,{\mathrm e}^{2 x}+2 x y-y^{2}+\left (x -y\right )^{2} y^{\prime } = 0
\]
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\[
{} \frac {1}{x}-\frac {y}{x^{2}+y^{2}}+\frac {x y^{\prime }}{x^{2}+y^{2}} = 0
\]
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\[
{} y \cos \left (x y\right )-\sin \left (x \right )+x \cos \left (x y\right ) y^{\prime } = 0
\]
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\[
{} 2 y^{2} {\mathrm e}^{2 x}+3 x^{2}+2 y \,{\mathrm e}^{2 x} y^{\prime } = 0
\]
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\[
{} y^{2}+\cos \left (x \right )+\left (2 x y+\sin \left (y\right )\right ) y^{\prime } = 0
\]
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\[
{} \sin \left (y\right )+\cos \left (x \right ) y+\left (x \cos \left (y\right )+\sin \left (x \right )\right ) y^{\prime } = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 0
\]
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\[
{} y^{\prime \prime }+7 y^{\prime }+10 y = 0
\]
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\[
{} y^{\prime \prime }-36 y = 0
\]
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\[
{} y^{\prime \prime }+4 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y = 0
\]
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