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ODE |
Mathematica |
Maple |
\[ {}y-x y^{\prime } = 0 \] |
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\[ {}\left (1+u \right ) v+\left (1-v\right ) u v^{\prime } = 0 \] |
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\[ {}1+y-\left (1-x \right ) y^{\prime } = 0 \] |
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\[ {}\left (t^{2}+t^{2} x\right ) x^{\prime }+x^{2}+t x^{2} = 0 \] |
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\[ {}y-a +x^{2} y^{\prime } = 0 \] |
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\[ {}z-\left (-a^{2}+t^{2}\right ) z^{\prime } = 0 \] |
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\[ {}y^{\prime } = \frac {1+y^{2}}{x^{2}+1} \] |
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\[ {}1+s^{2}-\sqrt {t}\, s^{\prime } = 0 \] |
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\[ {}r^{\prime }+r \tan \left (t \right ) = 0 \] |
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\[ {}\left (x^{2}+1\right ) y^{\prime }-\sqrt {1-y^{2}} = 0 \] |
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\[ {}\sqrt {-x^{2}+1}\, y^{\prime }-\sqrt {1-y^{2}} = 0 \] |
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\[ {}3 \,{\mathrm e}^{x} \tan \left (y\right )+\left (-{\mathrm e}^{x}+1\right ) \sec \left (y\right )^{2} y^{\prime } = 0 \] |
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\[ {}x -x y^{2}+\left (y-x^{2} y\right ) y^{\prime } = 0 \] |
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\[ {}y-x +\left (x +y\right ) y^{\prime } = 0 \] |
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\[ {}y+x +x y^{\prime } = 0 \] |
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\[ {}x +y+\left (y-x \right ) y^{\prime } = 0 \] |
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\[ {}-y+x y^{\prime } = \sqrt {x^{2}+y^{2}} \] |
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\[ {}8 y+10 x +\left (5 y+7 x \right ) y^{\prime } = 0 \] |
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\[ {}2 \sqrt {s t}-s+t s^{\prime } = 0 \] |
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\[ {}t -s+t s^{\prime } = 0 \] |
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\[ {}y^{2} y^{\prime } x = x^{3}+y^{3} \] |
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\[ {}x \cos \left (\frac {y}{x}\right ) \left (x y^{\prime }+y\right ) = y \sin \left (\frac {y}{x}\right ) \left (-y+x y^{\prime }\right ) \] |
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\[ {}3 y-7 x +7-\left (3 x -7 y-3\right ) y^{\prime } = 0 \] |
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\[ {}x +2 y+1-\left (4 y+2 x +3\right ) y^{\prime } = 0 \] |
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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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\[ {}\frac {x +y y^{\prime }}{\sqrt {x^{2}+y^{2}}} = m \] |
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\[ {}y+\frac {x}{y^{\prime }} = \sqrt {x^{2}+y^{2}} \] |
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\[ {}y y^{\prime } = -x +\sqrt {x^{2}+y^{2}} \] |
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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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\[ {}y^{\prime }+\frac {\left (-2 x +1\right ) y}{x^{2}}-1 = 0 \] |
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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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\[ {}y^{\prime } \left (x^{2} y^{3}+x y\right ) = 1 \] |
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\[ {}x y^{\prime } = \left (y \ln \left (x \right )-2\right ) y \] |
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\[ {}y-y^{\prime } \cos \left (x \right ) = y^{2} \cos \left (x \right ) \left (1-\sin \left (x \right )\right ) \] |
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\[ {}x^{2}+y+\left (x -2 y\right ) y^{\prime } = 0 \] |
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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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\[ {}x +y y^{\prime } = \frac {y}{x^{2}+y^{2}}-\frac {x y^{\prime }}{x^{2}+y^{2}} \] |
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\[ {}y = 2 x y^{\prime }+{y^{\prime }}^{2} \] |
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\[ {}y = x {y^{\prime }}^{2}+{y^{\prime }}^{2} \] |
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\[ {}y = x \left (1+y^{\prime }\right )+{y^{\prime }}^{2} \] |
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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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\[ {}y = x y^{\prime }+\sqrt {-{y^{\prime }}^{2}+1} \] |
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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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\[ {}y = x {y^{\prime }}^{2}+{y^{\prime }}^{2} \] |
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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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\[ {}x y^{\prime }+y-y^{2} \ln \left (x \right ) = 0 \] |
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\[ {}2 x +2 y-1+\left (x +y-2\right ) y^{\prime } = 0 \] |
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\[ {}3 \,{\mathrm e}^{x} \tan \left (y\right )+\left (-{\mathrm e}^{x}+1\right ) \sec \left (y\right )^{2} y^{\prime } = 0 \] |
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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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\[ {}-y+x y^{\prime } = 0 \] |
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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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\[ {}x^{2} y^{\prime }+2 x y = 0 \] |
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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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\[ {}y^{\prime } = 3 y^{\frac {2}{3}} \] |
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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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\[ {}y^{\prime } = -1+x \] |
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\[ {}y^{\prime } = 1-y \] |
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\[ {}y^{\prime } = y+1 \] |
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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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\[ {}y^{\prime } = x^{2}-y^{2} \] |
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\[ {}y^{\prime } = -x^{2}+y^{2} \] |
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\[ {}y^{\prime } = x +y \] |
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