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ODE |
Mathematica result |
Maple result |
\[ {}y^{\prime } = 2 y^{2}+x y^{2} \] |
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\[ {}y^{\prime } = \frac {2-{\mathrm e}^{x}}{3+2 y} \] |
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\[ {}y^{\prime } = \frac {2 \cos \left (2 x \right )}{3+2 y} \] |
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\[ {}y^{\prime } = 2 \left (x +1\right ) \left (1+y^{2}\right ) \] |
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\[ {}y^{\prime } = \frac {t \left (4-y\right ) y}{3} \] |
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\[ {}y^{\prime } = \frac {t y \left (4-y\right )}{t +1} \] |
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\[ {}y^{\prime } = \frac {b +a y}{d +c y} \] |
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\[ {}y^{\prime } = \frac {y^{2}+x y+x^{2}}{x^{2}} \] |
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\[ {}y^{\prime } = \frac {x^{2}+3 y^{2}}{2 x y} \] |
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\[ {}y^{\prime } = \frac {4 y-3 x}{2 x -y} \] |
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\[ {}y^{\prime } = -\frac {4 x +3 y}{2 x +y} \] |
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\[ {}y^{\prime } = \frac {x +3 y}{x -y} \] |
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\[ {}x^{2}+3 x y+y^{2}-x^{2} y^{\prime } = 0 \] |
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\[ {}y^{\prime } = \frac {x^{2}-3 y^{2}}{2 x y} \] |
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\[ {}y^{\prime } = \frac {3 y^{2}-x^{2}}{2 x y} \] |
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\[ {}\ln \relax (t ) y+\left (t -3\right ) y^{\prime } = 2 t \] |
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\[ {}y+\left (t -4\right ) t y^{\prime } = 0 \] |
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\[ {}\tan \relax (t ) y+y^{\prime } = \sin \relax (t ) \] |
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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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\[ {}y+\ln \relax (t ) y^{\prime } = \cot \relax (t ) \] |
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\[ {}y^{\prime } = \frac {t^{2}+1}{3 y-y^{2}} \] |
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\[ {}y^{\prime } = \frac {\cot \relax (t ) y}{1+y} \] |
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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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\[ {}y^{\prime } = t -1-y^{2} \] |
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\[ {}y^{\prime } = a y+b y^{2} \] |
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\[ {}y^{\prime } = y \left (-2+y\right ) \left (-1+y\right ) \] |
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\[ {}y^{\prime } = -1+{\mathrm e}^{y} \] |
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\[ {}y^{\prime } = -1+{\mathrm e}^{-y} \] |
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\[ {}y^{\prime } = -\frac {2 \arctan \relax (y)}{1+y^{2}} \] |
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\[ {}y^{\prime } = -k \left (-1+y\right )^{2} \] |
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\[ {}y^{\prime } = y^{2} \left (y^{2}-1\right ) \] |
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\[ {}y^{\prime } = y \left (1-y^{2}\right ) \] |
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\[ {}y^{\prime } = -b \sqrt {y}+a y \] |
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\[ {}y^{\prime } = y^{2} \left (4-y^{2}\right ) \] |
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\[ {}y^{\prime } = \left (1-y\right )^{2} y^{2} \] |
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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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\[ {}y^{\prime } = \frac {-a x -b y}{b x +c y} \] |
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\[ {}y^{\prime } = \frac {-a x +b y}{b x -c y} \] |
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\[ {}{\mathrm e}^{x} \sin \relax (y)-2 \sin \relax (x ) y+\left (2 \cos \relax (x )+{\mathrm e}^{x} \cos \relax (y)\right ) y^{\prime } = 0 \] | ✓ | ✓ |
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\[ {}{\mathrm e}^{x} \sin \relax (y)+3 y-\left (3 x -{\mathrm e}^{x} \sin \relax (y)\right ) y^{\prime } = 0 \] | ✗ | ✗ |
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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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\[ {}\frac {y}{x}+6 x +\left (\ln \relax (x )-2\right ) y^{\prime } = 0 \] |
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\[ {}\ln \relax (x ) x +x y+\left (y \ln \relax (x )+x y\right ) y^{\prime } = 0 \] |
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\[ {}\frac {x}{\left (x^{2}+y^{2}\right )^{\frac {3}{2}}}+\frac {y y^{\prime }}{\left (x^{2}+y^{2}\right )^{\frac {3}{2}}} = 0 \] |
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\[ {}2 x -y+\left (-x +2 y\right ) y^{\prime } = 0 \] |
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\[ {}-1+9 x^{2}+y+\left (x -4 y\right ) y^{\prime } = 0 \] |
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\[ {}x^{2} y^{3}+x \left (1+y^{2}\right ) y^{\prime } = 0 \] |
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\[ {}y+\left (2 x -{\mathrm e}^{y} y\right ) y^{\prime } = 0 \] |
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\[ {}\left (2+x \right ) \sin \relax (y)+x \cos \relax (y) y^{\prime } = 0 \] |
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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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\[ {}1+\left (-\sin \relax (y)+\frac {x}{y}\right ) y^{\prime } = 0 \] |
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\[ {}y+\left (-{\mathrm e}^{-2 y}+2 x y\right ) y^{\prime } = 0 \] |
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\[ {}{\mathrm e}^{x}+\left ({\mathrm e}^{x} \cot \relax (y)+2 \csc \relax (y) y\right ) y^{\prime } = 0 \] |
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\[ {}\frac {4 x^{3}}{y^{2}}+\frac {3}{y}+\left (\frac {3 x}{y^{2}}+4 y\right ) y^{\prime } = 0 \] |
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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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\[ {}y^{\prime } = \frac {x^{3}-2 y}{x} \] |
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\[ {}y^{\prime } = \frac {\cos \relax (x )+1}{2-\sin \relax (y)} \] |
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\[ {}y^{\prime } = \frac {2 x +y}{3-x +3 y^{2}} \] |
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\[ {}y^{\prime } = 3-6 x +y-2 x y \] |
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\[ {}y^{\prime } = \frac {-1-2 x y-y^{2}}{x^{2}+2 x y} \] |
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\[ {}x y+x y^{\prime } = 1-y \] |
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\[ {}y^{\prime } = \frac {4 x^{3}+1}{y \left (2+3 y\right )} \] |
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\[ {}2 y+x y^{\prime } = \frac {\sin \relax (x )}{x} \] |
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\[ {}y^{\prime } = \frac {-1-2 x y}{x^{2}+2 y} \] |
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\[ {}\frac {-x^{2}+x +1}{x^{2}}+\frac {y y^{\prime }}{y-2} = 0 \] |
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\[ {}x^{2}+y+\left ({\mathrm e}^{y}+x \right ) y^{\prime } = 0 \] |
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\[ {}y+y^{\prime } = \frac {1}{1+{\mathrm e}^{x}} \] |
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\[ {}y^{\prime } = 1+2 x +y^{2}+2 x y^{2} \] |
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\[ {}x +y+\left (2 y+x \right ) y^{\prime } = 0 \] |
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\[ {}\left (1+{\mathrm e}^{x}\right ) y^{\prime } = y-y \,{\mathrm e}^{x} \] |
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\[ {}y^{\prime } = \frac {-{\mathrm e}^{2 y} \cos \relax (x )+\cos \relax (y) {\mathrm e}^{-x}}{2 \,{\mathrm e}^{2 y} \sin \relax (x )-\sin \relax (y) {\mathrm e}^{-x}} \] |
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\[ {}y^{\prime } = {\mathrm e}^{2 x}+3 y \] |
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\[ {}2 y+y^{\prime } = {\mathrm e}^{-x^{2}-2 x} \] |
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\[ {}y^{\prime } = \frac {3 x^{2}-2 y-y^{3}}{2 x +3 x y^{2}} \] |
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\[ {}y^{\prime } = {\mathrm e}^{x +y} \] |
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\[ {}\frac {-4+6 x y+2 y^{2}}{3 x^{2}+4 x y+3 y^{2}}+y^{\prime } = 0 \] |
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\[ {}y^{\prime } = \frac {x^{2}-1}{1+y^{2}} \] |
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\[ {}\left (t +1\right ) y+t y^{\prime } = {\mathrm e}^{2 t} \] |
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\[ {}2 \cos \relax (x ) \sin \relax (x ) \sin \relax (y)+\cos \relax (y) \left (\sin ^{2}\relax (x )\right ) y^{\prime } = 0 \] |
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\[ {}\frac {2 x}{y}-\frac {y}{x^{2}+y^{2}}+\left (-\frac {x^{2}}{y^{2}}+\frac {x}{x^{2}+y^{2}}\right ) y^{\prime } = 0 \] |
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\[ {}x y^{\prime } = {\mathrm e}^{\frac {y}{x}} x +y \] |
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\[ {}y^{\prime } = \frac {x}{x^{2}+y+y^{3}} \] |
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\[ {}3 t +2 y = -t y^{\prime } \] |
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\[ {}y^{\prime } = \frac {x +y}{x -y} \] |
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\[ {}2 x y+3 y^{2}-\left (x^{2}+2 x y\right ) y^{\prime } = 0 \] |
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\[ {}y^{\prime } = \frac {-3 x^{2} y-y^{2}}{2 x^{3}+3 x y} \] |
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\[ {}y^{\prime \prime }+2 y^{\prime }-3 y = 0 \] |
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\[ {}y^{\prime \prime }+3 y^{\prime }+2 y = 0 \] |
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