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ODE |
Mathematica |
Maple |
Sympy |
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\[
{} -y+y^{\prime } = {\mathrm e}^{3 t}
\]
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\[
{} y+y^{\prime } = 2 \sin \left (t \right )
\]
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\[
{} x^{\prime } = \sin \left (t \right )+\cos \left (t \right )
\]
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\[
{} y^{\prime } = \frac {1}{x^{2}-1}
\]
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\[
{} u^{\prime } = 4 t \ln \left (t \right )
\]
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\[
{} z^{\prime } = x \,{\mathrm e}^{-2 x}
\]
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\[
{} T^{\prime } = {\mathrm e}^{-t} \sin \left (2 t \right )
\]
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\[
{} x^{\prime } = \sec \left (t \right )^{2}
\]
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\[
{} y^{\prime } = x -\frac {1}{3} x^{3}
\]
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\[
{} x^{\prime } = 2 \sin \left (t \right )^{2}
\]
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\[
{} x V^{\prime } = x^{2}+1
\]
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\[
{} x^{\prime } {\mathrm e}^{3 t}+3 x \,{\mathrm e}^{3 t} = {\mathrm e}^{-t}
\]
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\[
{} x^{\prime } = 1-x
\]
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\[
{} x^{\prime } = x \left (2-x\right )
\]
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\[
{} x^{\prime } = \left (1+x\right ) \left (2-x\right ) \sin \left (x\right )
\]
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\[
{} x^{\prime } = -x \left (1-x\right ) \left (2-x\right )
\]
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\[
{} x^{\prime } = x^{2}-x^{4}
\]
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\[
{} x^{\prime } = t^{3} \left (1-x\right )
\]
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\[
{} y^{\prime } = \left (1+y^{2}\right ) \tan \left (x \right )
\]
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\[
{} x^{\prime } = x t^{2}
\]
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\[
{} x^{\prime } = -x^{2}
\]
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\[
{} y^{\prime } = y^{2} {\mathrm e}^{-t^{2}}
\]
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\[
{} x^{\prime }+p x = q
\]
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\[
{} x y^{\prime } = k y
\]
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\[
{} i^{\prime } = p \left (t \right ) i
\]
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\[
{} x^{\prime } = \lambda x
\]
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\[
{} m v^{\prime } = -m g +k v^{2}
\]
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\[
{} x^{\prime } = k x-x^{2}
\]
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\[
{} x^{\prime } = -x \left (k^{2}+x^{2}\right )
\]
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\[
{} y^{\prime }+\frac {y}{x} = x^{2}
\]
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\[
{} x^{\prime }+t x = 4 t
\]
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\[
{} z^{\prime } = z \tan \left (y \right )+\sin \left (y \right )
\]
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\[
{} y^{\prime }+y \,{\mathrm e}^{-x} = 1
\]
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\[
{} x^{\prime }+x \tanh \left (t \right ) = 3
\]
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\[
{} y^{\prime }+2 \cot \left (x \right ) y = 5
\]
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\[
{} x^{\prime }+5 x = t
\]
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\[
{} x^{\prime }+\left (a +\frac {1}{t}\right ) x = b
\]
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\[
{} T^{\prime } = -k \left (T-\mu -a \cos \left (\omega \left (t -\phi \right )\right )\right )
\]
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\[
{} 2 x y-\sec \left (x \right )^{2}+\left (x^{2}+2 y\right ) y^{\prime } = 0
\]
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\[
{} 1+y \,{\mathrm e}^{x}+y x \,{\mathrm e}^{x}+\left ({\mathrm e}^{x} x +2\right ) y^{\prime } = 0
\]
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\[
{} \left (x \cos \left (y\right )+\cos \left (x \right )\right ) y^{\prime }-y \sin \left (x \right )+\sin \left (y\right ) = 0
\]
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\[
{} {\mathrm e}^{x} \sin \left (y\right )+y+\left ({\mathrm e}^{x} \cos \left (y\right )+x +{\mathrm e}^{y}\right ) y^{\prime } = 0
\]
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\[
{} {\mathrm e}^{-y} \sec \left (x \right )+2 \cos \left (x \right )-{\mathrm e}^{-y} y^{\prime } = 0
\]
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\[
{} V^{\prime }\left (x \right )+2 y y^{\prime } = 0
\]
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\[
{} \left (\frac {1}{y}-a \right ) y^{\prime }+\frac {2}{x}-b = 0
\]
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\[
{} x y+y^{2}+x^{2}-y^{\prime } x^{2} = 0
\]
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\[
{} x^{\prime } = \frac {x^{2}+t \sqrt {x^{2}+t^{2}}}{t x}
\]
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\[
{} x^{\prime } = k x-x^{2}
\]
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\[
{} \tan \left (y\right )-\cot \left (x \right ) y^{\prime } = 0
\]
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\[
{} 12 x +6 y-9+\left (5 x +2 y-3\right ) y^{\prime } = 0
\]
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\[
{} x y^{\prime } = y+\sqrt {x^{2}+y^{2}}
\]
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\[
{} x y^{\prime }+y = x^{3}
\]
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\[
{} y-x y^{\prime } = x^{2} y y^{\prime }
\]
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\[
{} x^{\prime }+3 x = {\mathrm e}^{2 t}
\]
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\[
{} \cos \left (x \right ) y^{\prime }+y \sin \left (x \right ) = 1
\]
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\[
{} y^{\prime } = {\mathrm e}^{x -y}
\]
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\[
{} x^{\prime } = x+\sin \left (t \right )
\]
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\[
{} x \left (\ln \left (x \right )-\ln \left (y\right )\right ) y^{\prime }-y = 0
\]
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\[
{} x^{\prime } = {\mathrm e}^{\frac {x}{t}}+\frac {x}{t}
\]
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\[
{} y = x y^{\prime }+\frac {1}{y}
\]
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\[
{} y^{\prime } = \frac {y}{y^{3}+x}
\]
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\[
{} y^{\prime } = \frac {2 y-x -4}{2 x -y+5}
\]
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\[
{} y^{\prime }-\frac {y}{1+x}+y^{2} = 0
\]
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\[
{} y^{\prime } = x +y^{2}
\]
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\[
{} y^{\prime } = x y^{3}+x^{2}
\]
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\[
{} y^{\prime } = -y^{2}+x^{2}
\]
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\[
{} 2 x +2 y-1+\left (x +y-2\right ) y^{\prime } = 0
\]
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\[
{} y^{\prime } = x -y^{2}
\]
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\[
{} y^{\prime } = \left (x -5 y\right )^{{1}/{3}}+2
\]
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\[
{} y \left (x -y\right )-y^{\prime } x^{2} = 0
\]
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\[
{} x^{\prime }+5 x = 10 t +2
\]
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\[
{} x^{\prime } = \frac {x}{t}+\frac {x^{2}}{t^{3}}
\]
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\[
{} y^{\prime } = \frac {3 x -4 y-2}{3 x -4 y-3}
\]
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\[
{} x^{\prime }-x \cot \left (t \right ) = 4 \sin \left (t \right )
\]
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\[
{} y^{\prime }-\frac {3 y}{x}+x^{3} y^{2} = 0
\]
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\[
{} x^{2}-y+\left (x^{2} y^{2}+x \right ) y^{\prime } = 0
\]
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\[
{} 3 y^{2}-x +2 y \left (y^{2}-3 x \right ) y^{\prime } = 0
\]
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\[
{} y \left (x -y\right )-y^{\prime } x^{2} = 0
\]
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\[
{} y^{\prime } = \frac {x +y-3}{y-x +1}
\]
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\[
{} x y^{\prime }-y^{2} \ln \left (x \right )+y = 0
\]
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\[
{} \left (x^{2}-1\right ) y^{\prime }+2 x y-\cos \left (x \right ) = 0
\]
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\[
{} \left (3+2 x +4 y\right ) y^{\prime }-2 y-x -1 = 0
\]
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\[
{} \left (-x +y^{2}\right ) y^{\prime }-y+x^{2} = 0
\]
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\[
{} \left (y^{2}-x^{2}\right ) y^{\prime }+2 x y = 0
\]
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\[
{} 3 x y^{2} y^{\prime }+y^{3}-2 x = 0
\]
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\[
{} y^{\prime } = y \,{\mathrm e}^{x +y} \left (x^{2}+1\right )
\]
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\[
{} y^{\prime } x^{2} = 1+y^{2}
\]
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\[
{} y^{\prime } = \sin \left (x y\right )
\]
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\[
{} x \left ({\mathrm e}^{y}+4\right ) = {\mathrm e}^{x +y} y^{\prime }
\]
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\[
{} y^{\prime } = \cos \left (x +y\right )
\]
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\[
{} x y^{\prime }+y = x y^{2}
\]
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\[
{} y^{\prime } = t \ln \left (y^{2 t}\right )+t^{2}
\]
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\[
{} y^{\prime } = x \,{\mathrm e}^{-x +y^{2}}
\]
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\[
{} y^{\prime } = \ln \left (x y\right )
\]
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\[
{} x \left (1+y\right )^{2} = \left (x^{2}+1\right ) y \,{\mathrm e}^{y} y^{\prime }
\]
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\[
{} \cos \left (x \right ) y^{\prime }+y \,{\mathrm e}^{x^{2}} = \sinh \left (x \right )
\]
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\[
{} y y^{\prime } = 1
\]
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\[
{} 5 y^{\prime }-x y = 0
\]
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\[
{} y+2 y^{\prime } = {\mathrm e}^{-\frac {t}{2}}
\]
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\[
{} -y+y^{\prime } = {\mathrm e}^{2 t}
\]
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