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ODE |
Mathematica result |
Maple result |
\[ {}\frac {y-x y^{\prime }}{\left (x +y\right )^{2}}+y^{\prime } = 1 \] |
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\[ {}\frac {4 y^{2}-2 x^{2}}{4 y^{2} x -x^{3}}+\frac {\left (8 y^{2}-x^{2}\right ) y^{\prime }}{4 y^{3}-x^{2} y} = 0 \] |
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\[ {}x^{2}-2 y^{2}+x y y^{\prime } = 0 \] |
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\[ {}x^{2} y^{\prime }-3 x y-2 y^{2} = 0 \] |
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\[ {}x^{2} y^{\prime } = 3 \left (y^{2}+x^{2}\right ) \arctan \left (\frac {y}{x}\right )+x y \] |
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\[ {}x \sin \left (\frac {y}{x}\right ) y^{\prime } = y \sin \left (\frac {y}{x}\right )+x \] |
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\[ {}x y^{\prime } = y+2 x \,{\mathrm e}^{-\frac {y}{x}} \] |
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\[ {}x -y-\left (x +y\right ) y^{\prime } = 0 \] |
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\[ {}x y^{\prime } = 2 x -6 y \] |
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\[ {}x y^{\prime } = \sqrt {y^{2}+x^{2}} \] |
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\[ {}x^{2} y^{\prime } = y^{2}+2 x y \] |
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\[ {}x^{3}+y^{3}-x y^{2} y^{\prime } = 0 \] |
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\[ {}y^{\prime } = \frac {x +y+4}{x -y-6} \] |
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\[ {}y^{\prime } = \frac {x +y+4}{x +y-6} \] |
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\[ {}2 x -2 y+\left (y-1\right ) y^{\prime } = 0 \] |
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\[ {}y^{\prime } = \frac {x +y-1}{x +4 y+2} \] |
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\[ {}2 x +3 y-1-4 \left (1+x \right ) y^{\prime } = 0 \] |
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\[ {}y^{\prime } = \frac {1-y^{2} x}{2 x^{2} y} \] |
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\[ {}y^{\prime } = \frac {2+3 y^{2} x}{4 x^{2} y} \] |
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\[ {}y^{\prime } = \frac {y-y^{2} x}{x +x^{2} y} \] |
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\[ {}y^{\prime } = \sin \left (\frac {y}{x}\right )-\cos \left (\frac {y}{x}\right ) \] |
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\[ {}{\mathrm e}^{\frac {x}{y}}-\frac {y y^{\prime }}{x} = 0 \] |
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\[ {}y^{\prime } = \frac {x^{2}-x y}{y^{2} \cos \left (\frac {x}{y}\right )} \] |
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\[ {}y^{\prime } = \frac {y \tan \left (\frac {y}{x}\right )}{x} \] |
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\[ {}\left (3 x^{2}-y^{2}\right ) y^{\prime }-2 x y = 0 \] |
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\[ {}x y-1+\left (x^{2}-x y\right ) y^{\prime } = 0 \] |
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\[ {}x y^{\prime }+y+3 x^{3} y^{4} y^{\prime } = 0 \] |
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\[ {}{\mathrm e}^{x}+\left ({\mathrm e}^{x} \cot \left (y\right )+2 y \csc \left (y\right )\right ) y^{\prime } = 0 \] |
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\[ {}\left (2+x \right ) \sin \left (y\right )+x \cos \left (y\right ) y^{\prime } = 0 \] |
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\[ {}y+\left (x -2 x^{2} y^{3}\right ) y^{\prime } = 0 \] |
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\[ {}x +3 y^{2}+2 x y y^{\prime } = 0 \] |
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\[ {}y+\left (2 x -y \,{\mathrm e}^{y}\right ) y^{\prime } = 0 \] |
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\[ {}y \ln \left (y\right )-2 x y+\left (x +y\right ) y^{\prime } = 0 \] |
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\[ {}y^{2}+x y+1+\left (x^{2}+x y+1\right ) y^{\prime } = 0 \] |
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\[ {}x^{3}+x y^{3}+3 y^{2} y^{\prime } = 0 \] |
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\[ {}y^{\prime } = \frac {2 y}{x}+\frac {x^{3}}{y}+x \tan \left (\frac {y}{x^{2}}\right ) \] |
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\[ {}y y^{\prime \prime }+{y^{\prime }}^{2} = 0 \] |
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\[ {}x y y^{\prime \prime } = y^{\prime }+{y^{\prime }}^{3} \] |
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\[ {}y^{\prime \prime }-k^{2} y = 0 \] |
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\[ {}x^{2} y^{\prime \prime } = 2 x y^{\prime }+{y^{\prime }}^{2} \] |
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\[ {}2 y y^{\prime \prime } = 1+{y^{\prime }}^{2} \] |
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\[ {}y y^{\prime \prime }-{y^{\prime }}^{2} = 0 \] |
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\[ {}x y^{\prime \prime }+y^{\prime } = 4 x \] |
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\[ {}\left (x^{2}+2 y^{\prime }\right ) y^{\prime \prime }+2 x y^{\prime } = 0 \] |
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\[ {}y y^{\prime \prime } = y^{2} y^{\prime }+{y^{\prime }}^{2} \] |
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\[ {}y^{\prime \prime } = {\mathrm e}^{y} y^{\prime } \] |
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\[ {}y^{\prime \prime } = 1+{y^{\prime }}^{2} \] |
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\[ {}y^{\prime \prime }+{y^{\prime }}^{2} = 1 \] |
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\[ {}x y^{\prime }+y = x \] |
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\[ {}x^{2} y^{\prime }+y = x^{2} \] |
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\[ {}x^{2} y^{\prime } = y \] |
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\[ {}\sec \left (x \right ) y^{\prime } = \sec \left (y\right ) \] |
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\[ {}y^{\prime } = \frac {y^{2}+x^{2}}{x^{2}-y^{2}} \] |
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\[ {}y^{\prime } = \frac {2 y+x}{-y+2 x} \] |
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\[ {}x^{2} y^{\prime }+2 x y = 0 \] |
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\[ {}-\sin \left (x \right ) \sin \left (y\right )+\cos \left (x \right ) \cos \left (y\right ) y^{\prime } = 0 \] |
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\[ {}-y+x y^{\prime } = 2 x \] |
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\[ {}x^{2} y^{\prime }-2 y = 3 x^{2} \] |
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\[ {}y^{2} y^{\prime } = x \] |
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\[ {}\csc \left (x \right ) y^{\prime } = \csc \left (y\right ) \] |
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\[ {}y^{\prime } = \frac {x +y}{-y+x} \] |
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\[ {}y^{\prime } = \frac {x^{2}+2 y^{2}}{x^{2}-2 y^{2}} \] |
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\[ {}2 x \cos \left (y\right )-x^{2} \sin \left (y\right ) y^{\prime } = 0 \] |
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\[ {}\frac {1}{y}-\frac {x y^{\prime }}{y^{2}} = 0 \] |
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\[ {}y y^{\prime \prime }-{y^{\prime }}^{2} = 0 \] |
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\[ {}x y^{\prime \prime } = y^{\prime }-2 {y^{\prime }}^{3} \] |
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\[ {}y y^{\prime \prime }+y^{\prime } = 0 \] |
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\[ {}x y^{\prime \prime }-3 y^{\prime } = 5 x \] |
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\[ {}y^{\prime \prime }+y^{\prime }-6 y = 0 \] |
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\[ {}y^{\prime \prime }+2 y^{\prime }+y = 0 \] |
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\[ {}y^{\prime \prime }+8 y = 0 \] |
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\[ {}2 y^{\prime \prime }-4 y^{\prime }+4 y = 0 \] |
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\[ {}y^{\prime \prime }-4 y^{\prime }+4 y = 0 \] |
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\[ {}y^{\prime \prime }-9 y^{\prime }+20 y = 0 \] |
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\[ {}2 y^{\prime \prime }+2 y^{\prime }+3 y = 0 \] |
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\[ {}4 y^{\prime \prime }-12 y^{\prime }+9 y = 0 \] |
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\[ {}y^{\prime \prime }+y = 0 \] |
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\[ {}y^{\prime \prime }-6 y^{\prime }+25 y = 0 \] |
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\[ {}4 y^{\prime \prime }+20 y^{\prime }+25 y = 0 \] |
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\[ {}y^{\prime \prime }+2 y^{\prime }+3 y = 0 \] |
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\[ {}y^{\prime \prime } = 4 y \] |
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\[ {}4 y^{\prime \prime }-8 y^{\prime }+7 y = 0 \] |
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\[ {}2 y^{\prime \prime }+y^{\prime }-y = 0 \] |
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\[ {}y^{\prime \prime }+4 y^{\prime }+5 y = 0 \] |
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\[ {}y^{\prime \prime }+4 y^{\prime }+5 y = 0 \] |
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\[ {}y^{\prime \prime }+4 y^{\prime }-5 y = 0 \] |
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\[ {}y^{\prime \prime }-5 y^{\prime }+6 y = 0 \] |
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\[ {}y^{\prime \prime }-6 y^{\prime }+5 y = 0 \] |
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\[ {}y^{\prime \prime }-6 y^{\prime }+9 y = 0 \] |
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\[ {}y^{\prime \prime }+4 y^{\prime }+5 y = 0 \] |
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\[ {}y^{\prime \prime }+4 y^{\prime }+2 y = 0 \] |
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\[ {}y^{\prime \prime }+8 y^{\prime }-9 y = 0 \] |
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\[ {}x^{2} y^{\prime \prime }+3 x y^{\prime }+10 y = 0 \] |
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\[ {}2 x^{2} y^{\prime \prime }+10 x y^{\prime }+8 y = 0 \] |
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\[ {}x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 0 \] |
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\[ {}4 x^{2} y^{\prime \prime }-3 y = 0 \] |
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\[ {}x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0 \] |
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\[ {}x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0 \] |
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\[ {}x^{2} y^{\prime \prime }+2 x y^{\prime }+3 y = 0 \] |
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\[ {}x^{2} y^{\prime \prime }+x y^{\prime }-2 y = 0 \] |
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