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Mathematica |
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\[ {}6 y+x y^{\prime } = 3 x y^{\frac {4}{3}} \] |
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\[ {}y^{3} {\mathrm e}^{-2 x}+2 x y^{\prime } = 2 x y \] |
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\[ {}\sqrt {x^{4}+1}\, y^{2} \left (x y^{\prime }+y\right ) = x \] |
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\[ {}y^{3}+3 y^{2} y^{\prime } = {\mathrm e}^{-x} \] |
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\[ {}3 y^{2} y^{\prime } x = 3 x^{4}+y^{3} \] |
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\[ {}{\mathrm e}^{y} x y^{\prime } = 2 \,{\mathrm e}^{y}+2 \,{\mathrm e}^{2 x} x^{3} \] |
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\[ {}2 x \cos \left (y\right ) \sin \left (y\right ) y^{\prime } = 4 x^{2}+\sin \left (y\right )^{2} \] |
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\[ {}\left ({\mathrm e}^{y}+x \right ) y^{\prime } = -1+x \,{\mathrm e}^{-y} \] |
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\[ {}2 x +3 y+\left (3 x +2 y\right ) y^{\prime } = 0 \] |
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\[ {}4 x -y+\left (-x +6 y\right ) y^{\prime } = 0 \] |
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\[ {}3 x^{2}+2 y^{2}+\left (4 x y+6 y^{2}\right ) y^{\prime } = 0 \] |
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\[ {}3 x^{2}+2 x y^{2}+\left (2 x^{2} y+4 y^{3}\right ) y^{\prime } = 0 \] |
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\[ {}x^{3}+\frac {y}{x}+\left (\ln \left (x \right )+y^{2}\right ) y^{\prime } = 0 \] |
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\[ {}1+{\mathrm e}^{x y} y+\left ({\mathrm e}^{x y} x +2 y\right ) y^{\prime } = 0 \] |
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\[ {}\cos \left (x \right )+\ln \left (y\right )+\left ({\mathrm e}^{y}+\frac {x}{y}\right ) y^{\prime } = 0 \] |
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\[ {}x +\arctan \left (y\right )+\frac {\left (x +y\right ) y^{\prime }}{1+y^{2}} = 0 \] |
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\[ {}3 x^{2} y^{3}+y^{4}+\left (3 x^{3} y^{2}+4 x y^{3}+y^{4}\right ) y^{\prime } = 0 \] |
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\[ {}{\mathrm e}^{x} \sin \left (y\right )+\tan \left (y\right )+\left ({\mathrm e}^{x} \cos \left (y\right )+x \sec \left (y\right )^{2}\right ) y^{\prime } = 0 \] |
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\[ {}\frac {2 x}{y}-\frac {3 y^{2}}{x^{4}}+\left (-\frac {x^{2}}{y^{2}}+\frac {1}{\sqrt {y}}+\frac {2 y}{x^{3}}\right ) y^{\prime } = 0 \] |
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\[ {}\frac {2 x^{\frac {5}{2}}-3 y^{\frac {5}{3}}}{2 x^{\frac {5}{2}} y^{\frac {2}{3}}}+\frac {\left (-2 x^{\frac {5}{2}}+3 y^{\frac {5}{3}}\right ) y^{\prime }}{3 x^{\frac {3}{2}} y^{\frac {5}{3}}} = 0 \] |
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\[ {}x^{3}+3 y-x y^{\prime } = 0 \] |
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\[ {}3 y^{2}+x y^{2}-x^{2} y^{\prime } = 0 \] |
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\[ {}x y+y^{2}-x^{2} y^{\prime } = 0 \] |
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\[ {}{\mathrm e}^{x}+2 x y^{3}+\left (\sin \left (y\right )+3 y^{2} x^{2}\right ) y^{\prime } = 0 \] |
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\[ {}3 y+x^{4} y^{\prime } = 2 x y \] |
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\[ {}2 x y^{2}+x^{2} y^{\prime } = y^{2} \] |
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\[ {}2 x^{2} y+x^{3} y^{\prime } = 1 \] |
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\[ {}2 x y+x^{2} y^{\prime } = y^{2} \] |
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\[ {}2 y+x y^{\prime } = 6 x^{2} \sqrt {y} \] |
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\[ {}y^{\prime } = 1+x^{2}+y^{2}+y^{2} x^{2} \] |
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\[ {}x^{2} y^{\prime } = x y+3 y^{2} \] |
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\[ {}6 x y^{3}+2 y^{4}+\left (9 y^{2} x^{2}+8 x y^{3}\right ) y^{\prime } = 0 \] |
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\[ {}y^{\prime } = 1+x^{2}+y^{2}+x^{2} y^{4} \] |
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\[ {}x^{3} y^{\prime } = x^{2} y-y^{3} \] |
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\[ {}3 y+y^{\prime } = 3 x^{2} {\mathrm e}^{-3 x} \] |
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\[ {}y^{\prime } = x^{2}-2 x y+y^{2} \] |
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\[ {}{\mathrm e}^{x}+{\mathrm e}^{x y} y+\left ({\mathrm e}^{y}+{\mathrm e}^{x y} x \right ) y^{\prime } = 0 \] |
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\[ {}2 x^{2} y-x^{3} y^{\prime } = y^{3} \] |
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\[ {}3 x^{5} y^{2}+x^{3} y^{\prime } = 2 y^{2} \] |
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\[ {}3 y+x y^{\prime } = \frac {3}{x^{\frac {3}{2}}} \] |
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\[ {}\left (-1+x \right ) y+\left (x^{2}-1\right ) y^{\prime } = 1 \] |
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\[ {}x y^{\prime } = 12 x^{4} y^{\frac {2}{3}}+6 y \] |
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\[ {}{\mathrm e}^{y}+\cos \left (x \right ) y+\left ({\mathrm e}^{y} x +\sin \left (x \right )\right ) y^{\prime } = 0 \] |
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\[ {}9 y^{2} x^{2}+x^{\frac {3}{2}} y^{\prime } = y^{2} \] |
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\[ {}2 y+\left (1+x \right ) y^{\prime } = 3+3 x \] |
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\[ {}9 \sqrt {x}\, y^{\frac {4}{3}}-12 x^{\frac {1}{5}} y^{\frac {3}{2}}+\left (8 x^{\frac {3}{2}} y^{\frac {1}{3}}-15 x^{\frac {6}{5}} \sqrt {y}\right ) y^{\prime } = 0 \] |
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\[ {}3 y+x^{3} y^{4}+3 x y^{\prime } = 0 \] |
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\[ {}x y^{\prime }+y = 2 \,{\mathrm e}^{2 x} \] |
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\[ {}y+\left (2 x +1\right ) y^{\prime } = \left (2 x +1\right )^{\frac {3}{2}} \] |
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\[ {}y^{\prime } = 3 x^{2} \left (7+y\right ) \] |
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\[ {}y^{\prime } = 3 x^{2} \left (7+y\right ) \] |
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\[ {}y^{\prime } = -x y+x y^{3} \] |
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\[ {}y^{\prime } = \frac {-3 x^{2}-2 y^{2}}{4 x y} \] |
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\[ {}y^{\prime } = \frac {3 y+x}{-3 x +y} \] |
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\[ {}y^{\prime } = \frac {2 x +2 x y}{x^{2}+1} \] |
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\[ {}y^{\prime } = \cot \left (x \right ) \left (\sqrt {y}-y\right ) \] |
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\[ {}y^{\prime } = 1+y^{2} \] |
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\[ {}3 y+y^{\prime } = {\mathrm e}^{-2 t}+t \] |
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\[ {}-2 y+y^{\prime } = {\mathrm e}^{2 t} t^{2} \] |
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\[ {}y+y^{\prime } = 1+t \,{\mathrm e}^{-t} \] |
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\[ {}\frac {y}{t}+y^{\prime } = 3 \cos \left (2 t \right ) \] |
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\[ {}-2 y+y^{\prime } = 3 \,{\mathrm e}^{t} \] |
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\[ {}2 y+t y^{\prime } = \sin \left (t \right ) \] |
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\[ {}2 t y+y^{\prime } = 2 t \,{\mathrm e}^{-t^{2}} \] |
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\[ {}4 t y+\left (t^{2}+1\right ) y^{\prime } = \frac {1}{\left (t^{2}+1\right )^{2}} \] |
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\[ {}y+2 y^{\prime } = 3 t \] |
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\[ {}-y+t y^{\prime } = t^{2} {\mathrm e}^{-t} \] |
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\[ {}y+y^{\prime } = 5 \sin \left (2 t \right ) \] |
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\[ {}y+2 y^{\prime } = 3 t^{2} \] |
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\[ {}-y+y^{\prime } = 2 \,{\mathrm e}^{2 t} t \] |
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\[ {}2 y+y^{\prime } = t \,{\mathrm e}^{-2 t} \] |
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\[ {}2 y+t y^{\prime } = t^{2}-t +1 \] |
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\[ {}\frac {2 y}{t}+y^{\prime } = \frac {\cos \left (t \right )}{t^{2}} \] |
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\[ {}-2 y+y^{\prime } = {\mathrm e}^{2 t} \] |
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\[ {}2 y+t y^{\prime } = \sin \left (t \right ) \] |
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\[ {}4 t^{2} y+t^{3} y^{\prime } = {\mathrm e}^{-t} \] |
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\[ {}\left (t +1\right ) y+t y^{\prime } = t \] |
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\[ {}-\frac {y}{2}+y^{\prime } = 2 \cos \left (t \right ) \] |
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\[ {}-y+2 y^{\prime } = {\mathrm e}^{\frac {t}{3}} \] |
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\[ {}-2 y+3 y^{\prime } = {\mathrm e}^{-\frac {\pi t}{2}} \] |
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\[ {}\left (t +1\right ) y+t y^{\prime } = 2 t \,{\mathrm e}^{-t} \] |
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\[ {}2 y+t y^{\prime } = \frac {\sin \left (t \right )}{t} \] |
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\[ {}\cos \left (t \right ) y+\sin \left (t \right ) y^{\prime } = {\mathrm e}^{t} \] |
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\[ {}\frac {y}{2}+y^{\prime } = 2 \cos \left (t \right ) \] |
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\[ {}\frac {2 y}{3}+y^{\prime } = -\frac {t}{2}+1 \] |
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\[ {}\frac {y}{4}+y^{\prime } = 3+2 \cos \left (2 t \right ) \] |
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\[ {}-y+y^{\prime } = 1+3 \sin \left (t \right ) \] |
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\[ {}-\frac {3 y}{2}+y^{\prime } = 2 \,{\mathrm e}^{t}+3 t \] |
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\[ {}y^{\prime } = \frac {x^{2}}{y} \] |
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\[ {}y^{\prime } = \frac {x^{2}}{\left (x^{3}+1\right ) y} \] |
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\[ {}\sin \left (x \right ) y^{2}+y^{\prime } = 0 \] |
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\[ {}y^{\prime } = \frac {3 x^{2}-1}{3+2 y} \] |
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\[ {}y^{\prime } = \cos \left (x \right )^{2} \cos \left (2 y\right )^{2} \] |
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\[ {}x y^{\prime } = \sqrt {1-y^{2}} \] |
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\[ {}y^{\prime } = \frac {-{\mathrm e}^{-x}+x}{{\mathrm e}^{y}+x} \] |
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\[ {}y^{\prime } = \frac {x^{2}}{1+y^{2}} \] |
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\[ {}y^{\prime } = \left (-2 x +1\right ) y^{2} \] |
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\[ {}y^{\prime } = \frac {-2 x +1}{y} \] |
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\[ {}x +y y^{\prime } {\mathrm e}^{-x} = 0 \] |
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\[ {}r^{\prime } = \frac {r^{2}}{x} \] |
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