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