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ODE |
Mathematica |
Maple |
Sympy |
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\[
{} x +2 y+1-\left (3+2 x +4 y\right ) y^{\prime } = 0
\]
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\[
{} x +2 y+1-\left (2 x -3\right ) y^{\prime } = 0
\]
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\[
{} \frac {y-x y^{\prime }}{\sqrt {x^{2}+y^{2}}} = m
\]
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\[
{} \frac {y y^{\prime }+x}{\sqrt {x^{2}+y^{2}}} = m
\]
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\[
{} y+\frac {x}{y^{\prime }} = \sqrt {x^{2}+y^{2}}
\]
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\[
{} y y^{\prime } = \sqrt {x^{2}+y^{2}}-x
\]
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\[
{} y^{\prime }-\frac {2 y}{1+x} = \left (1+x \right )^{3}
\]
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\[
{} y^{\prime }-\frac {a y}{x} = \frac {1+x}{x}
\]
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\[
{} \left (-x^{2}+x \right ) y^{\prime }+\left (2 x^{2}-1\right ) y-a \,x^{3} = 0
\]
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\[
{} s^{\prime } \cos \left (t \right )+s \sin \left (t \right ) = 1
\]
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\[
{} s^{\prime }+s \cos \left (t \right ) = \frac {\sin \left (2 t \right )}{2}
\]
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\[
{} y^{\prime }-\frac {n y}{x} = {\mathrm e}^{x} x^{n}
\]
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\[
{} y^{\prime }+\frac {n y}{x} = a \,x^{-n}
\]
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\[
{} y^{\prime }+y = {\mathrm e}^{-x}
\]
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\[
{} y^{\prime }+\frac {\left (1-2 x \right ) y}{x^{2}}-1 = 0
\]
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\[
{} y^{\prime }+x y = y^{3} x^{3}
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime }-x y+a x y^{2} = 0
\]
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\[
{} 3 y^{2} y^{\prime }-a y^{3}-x -1 = 0
\]
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\[
{} \left (x^{2} y^{3}+x y\right ) y^{\prime } = 1
\]
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\[
{} x y^{\prime } = \left (y \ln \left (x \right )-2\right ) y
\]
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\[
{} y-\cos \left (x \right ) y^{\prime } = y^{2} \cos \left (x \right ) \left (1-\sin \left (x \right )\right )
\]
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\[
{} x^{2}+y+\left (-2 y+x \right ) y^{\prime } = 0
\]
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\[
{} y-3 x^{2}-\left (4 y-x \right ) y^{\prime } = 0
\]
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\[
{} \left (y^{3}-x \right ) y^{\prime } = y
\]
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\[
{} \frac {y^{2}}{\left (x -y\right )^{2}}-\frac {1}{x}+\left (\frac {1}{y}-\frac {x^{2}}{\left (x -y\right )^{2}}\right ) y^{\prime } = 0
\]
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\[
{} 6 x y^{2}+4 x^{3}+3 \left (2 x^{2} y+y^{2}\right ) y^{\prime } = 0
\]
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\[
{} \frac {x}{\left (x +y\right )^{2}}+\frac {\left (y+2 x \right ) y^{\prime }}{\left (x +y\right )^{2}} = 0
\]
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\[
{} \frac {1}{x^{2}}+\frac {3 y^{2}}{x^{4}} = \frac {2 y y^{\prime }}{x^{3}}
\]
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\[
{} \frac {x^{2} y^{\prime }}{\left (x -y\right )^{2}}-\frac {y^{2}}{\left (x -y\right )^{2}} = 0
\]
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\[
{} y y^{\prime }+x = \frac {y}{x^{2}+y^{2}}-\frac {x y^{\prime }}{x^{2}+y^{2}}
\]
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\[
{} y = 2 x y^{\prime }+{y^{\prime }}^{2}
\]
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\[
{} y = {y^{\prime }}^{2} x +{y^{\prime }}^{2}
\]
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\[
{} y = \left (y^{\prime }+1\right ) x +{y^{\prime }}^{2}
\]
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\[
{} y = y {y^{\prime }}^{2}+2 x y^{\prime }
\]
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\[
{} y = y y^{\prime }+y^{\prime }-{y^{\prime }}^{2}
\]
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\[
{} y = x y^{\prime }+\sqrt {1-{y^{\prime }}^{2}}
\]
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\[
{} y = x y^{\prime }+y^{\prime }
\]
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\[
{} y = x y^{\prime }+\frac {1}{y^{\prime }}
\]
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\[
{} y = x y^{\prime }-\frac {1}{{y^{\prime }}^{2}}
\]
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\[
{} y^{\prime } = \frac {2 y}{x}-\sqrt {3}
\]
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\[
{} \frac {x^{2} y^{\prime }}{\left (x -y\right )^{2}}-\frac {y^{2}}{\left (x -y\right )^{2}} = 0
\]
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\[
{} y = {y^{\prime }}^{2} x +{y^{\prime }}^{2}
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime }-x y-\alpha = 0
\]
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\[
{} x \cos \left (\frac {y}{x}\right ) y^{\prime } = y \cos \left (\frac {y}{x}\right )-x
\]
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\[
{} x y^{\prime }-y^{2} \ln \left (x \right )+y = 0
\]
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\[
{} 2 x +2 y-1+\left (x +y-2\right ) y^{\prime } = 0
\]
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\[
{} 3 \,{\mathrm e}^{x} \tan \left (y\right )+\left (1-{\mathrm e}^{x}\right ) \sec \left (y\right )^{2} y^{\prime } = 0
\]
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\[
{} y^{\prime } = x +y^{2}
\]
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\[
{} y^{\prime }+\frac {y}{x} = {\mathrm e}^{x}
\]
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\[
{} x y^{\prime }-y = 0
\]
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\[
{} y^{\prime }+\frac {1}{2 y} = 0
\]
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\[
{} y^{\prime }-\frac {y}{x} = 1
\]
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\[
{} y^{\prime }-2 \sqrt {{| y|}} = 0
\]
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\[
{} y^{\prime } x^{2}+2 x y = 0
\]
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\[
{} y^{\prime }-y^{2} = 1
\]
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\[
{} x y^{\prime }-\sin \left (x \right ) = 0
\]
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\[
{} y^{\prime }+3 y = 0
\]
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\[
{} 2 x y^{\prime }-y = 0
\]
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\[
{} {y^{\prime }}^{2}-4 y = 0
\]
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\[
{} {y^{\prime }}^{2}-9 x y = 0
\]
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\[
{} {y^{\prime }}^{2} = x^{6}
\]
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\[
{} y^{\prime }-2 x y = 0
\]
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\[
{} y^{\prime }+y = x^{2}+2 x -1
\]
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\[
{} y^{\prime } = x \sqrt {y}
\]
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\[
{} y^{\prime } = 3 y^{{2}/{3}}
\]
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\[
{} x \ln \left (x \right ) y^{\prime }-\left (\ln \left (x \right )+1\right ) y = 0
\]
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\[
{} y^{\prime } = 1-x
\]
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\[
{} y^{\prime } = x -1
\]
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\[
{} y^{\prime } = 1-y
\]
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\[
{} y^{\prime } = 1+y
\]
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\[
{} y^{\prime } = y^{2}-4
\]
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\[
{} y^{\prime } = 4-y^{2}
\]
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\[
{} y^{\prime } = x y
\]
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\[
{} y^{\prime } = -x y
\]
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\[
{} y^{\prime } = -y^{2}+x^{2}
\]
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\[
{} y^{\prime } = y^{2}-x^{2}
\]
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\[
{} y^{\prime } = x +y
\]
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\[
{} y^{\prime } = x y
\]
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\[
{} y^{\prime } = \frac {x}{y}
\]
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\[
{} y^{\prime } = \frac {y}{x}
\]
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\[
{} y^{\prime } = 1+y^{2}
\]
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\[
{} y^{\prime } = y^{2}-3 y
\]
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\[
{} y^{\prime } = x^{3}+y^{3}
\]
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\[
{} y^{\prime } = {| y|}
\]
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\[
{} y^{\prime } = {\mathrm e}^{x -y}
\]
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\[
{} y^{\prime } = \ln \left (x +y\right )
\]
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\[
{} y^{\prime } = \frac {2 x -y}{3 y+x}
\]
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\[
{} y^{\prime } = \frac {1}{\sqrt {15-x^{2}-y^{2}}}
\]
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\[
{} y^{\prime } = \frac {3 y}{\left (x -5\right ) \left (x +3\right )}+{\mathrm e}^{-x}
\]
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\[
{} y^{\prime } = \frac {x y}{x^{2}+y^{2}}
\]
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\[
{} y^{\prime } = \frac {1}{x y}
\]
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\[
{} y^{\prime } = \ln \left (-1+y\right )
\]
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\[
{} y^{\prime } = \sqrt {\left (y+2\right ) \left (-1+y\right )}
\]
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\[
{} y^{\prime } = \frac {y}{y-x}
\]
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\[
{} y^{\prime } = \frac {x}{y^{2}}
\]
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\[
{} y^{\prime } = \frac {\sqrt {y}}{x}
\]
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\[
{} y^{\prime } = \frac {x y}{1-y}
\]
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\[
{} y^{\prime } = \left (x y\right )^{{1}/{3}}
\]
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\[
{} y^{\prime } = \sqrt {\frac {y-4}{x}}
\]
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\[
{} y^{\prime } = -\frac {y}{x}+y^{{1}/{4}}
\]
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