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ODE |
Mathematica |
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\[ {}y^{\prime }+t y = t \] |
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\[ {}x^{\prime }+\frac {x}{y} = y^{2} \] |
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\[ {}t r^{\prime }+r = t \cos \left (t \right ) \] |
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\[ {}y^{\prime }-y = t y^{3} \] |
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\[ {}y^{\prime }+y = \frac {{\mathrm e}^{t}}{y^{2}} \] |
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\[ {}y = t y^{\prime }+3 {y^{\prime }}^{4} \] |
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\[ {}y-t y^{\prime } = 2 y^{2} \ln \left (t \right ) \] |
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\[ {}y-t y^{\prime } = -2 {y^{\prime }}^{3} \] |
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\[ {}y-t y^{\prime } = -4 {y^{\prime }}^{2} \] |
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\[ {}2 x -y-2+\left (2 y-x \right ) y^{\prime } = 0 \] |
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\[ {}\cos \left (t -y\right )+\left (1-\cos \left (t -y\right )\right ) y^{\prime } = 0 \] |
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\[ {}{\mathrm e}^{t y} y-2 t +t \,{\mathrm e}^{t y} y^{\prime } = 0 \] |
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\[ {}\sin \left (y\right )-y \cos \left (t \right )+\left (t \cos \left (y\right )-\sin \left (t \right )\right ) y^{\prime } = 0 \] |
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\[ {}y^{2}+\left (2 t y-2 \cos \left (y\right ) \sin \left (y\right )\right ) y^{\prime } = 0 \] |
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\[ {}\frac {y}{t}+\ln \left (y\right )+\left (\frac {t}{y}+\ln \left (t \right )\right ) y^{\prime } = 0 \] |
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\[ {}y^{\prime } = y^{2}-x \] |
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\[ {}y^{\prime } = \sqrt {x -y} \] |
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\[ {}y^{\prime } = x +y^{\frac {1}{3}} \] |
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\[ {}y^{\prime } = \sin \left (x^{2} y\right ) \] |
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\[ {}y^{\prime } = t y^{3} \] |
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\[ {}y^{\prime } = \frac {t}{y^{3}} \] |
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\[ {}y^{\prime } = -\frac {y}{t -2} \] |
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\[ {}y^{\prime }-4 y = t^{2} \] |
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\[ {}y^{\prime }+y = \cos \left (2 t \right ) \] |
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\[ {}y^{\prime }-y = {\mathrm e}^{4 t} \] |
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\[ {}y^{\prime }+4 y = {\mathrm e}^{-4 t} \] |
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\[ {}y^{\prime }+4 y = t \,{\mathrm e}^{-4 t} \] |
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\[ {}y^{\prime } = x^{2}+y^{2} \] |
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\[ {}y^{\prime } = \frac {x}{y} \] |
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\[ {}y^{\prime } = y+3 y^{\frac {1}{3}} \] |
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\[ {}y^{\prime } = \sqrt {x -y} \] |
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\[ {}y^{\prime } = \sqrt {x^{2}-y}-x \] |
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\[ {}y^{\prime } = \sqrt {1-y^{2}} \] |
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\[ {}y^{\prime } = \frac {y+1}{x -y} \] |
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\[ {}y^{\prime } = \sin \left (y\right )-\cos \left (x \right ) \] |
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\[ {}y^{\prime } = 1-\cot \left (y\right ) \] |
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\[ {}y^{\prime } = \left (3 x -y\right )^{\frac {1}{3}}-1 \] |
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\[ {}y^{\prime } = \sin \left (x y\right ) \] |
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\[ {}x y^{\prime }+y = \cos \left (x \right ) \] |
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\[ {}y^{\prime }+2 y = {\mathrm e}^{x} \] |
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\[ {}\left (-x^{2}+1\right ) y^{\prime }+x y = 2 x \] |
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\[ {}y^{\prime } = 1+x \] |
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\[ {}y^{\prime } = x +y \] |
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\[ {}y^{\prime } = y-x \] |
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\[ {}y^{\prime } = \frac {x}{2}-y+\frac {3}{2} \] |
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\[ {}y^{\prime } = \left (y-1\right )^{2} \] |
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\[ {}y^{\prime } = \left (y-1\right ) x \] |
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\[ {}y^{\prime } = x^{2}-y^{2} \] |
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\[ {}y^{\prime } = \cos \left (x -y\right ) \] |
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\[ {}y^{\prime } = y-x^{2} \] |
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\[ {}y^{\prime } = x^{2}+2 x -y \] |
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\[ {}y^{\prime } = \frac {y+1}{-1+x} \] |
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\[ {}y^{\prime } = \frac {x +y}{x -y} \] |
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\[ {}y^{\prime } = 1-x \] |
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\[ {}y^{\prime } = 2 x -y \] |
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\[ {}y^{\prime } = x^{2}+y \] |
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\[ {}y^{\prime } = -\frac {y}{x} \] |
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\[ {}y^{\prime } = 1 \] |
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\[ {}y^{\prime } = \frac {1}{x} \] |
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\[ {}y^{\prime } = y \] |
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\[ {}y^{\prime } = y^{2} \] |
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\[ {}y^{\prime } = x^{2}-y^{2} \] |
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\[ {}y^{\prime } = x +y^{2} \] |
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\[ {}y^{\prime } = x +y \] |
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\[ {}y^{\prime } = 2 y-2 x^{2}-3 \] |
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\[ {}x y^{\prime } = 2 x -y \] |
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\[ {}1+y^{2}+\left (x^{2}+1\right ) y^{\prime } = 0 \] |
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\[ {}1+y^{2}+x y y^{\prime } = 0 \] |
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\[ {}y^{\prime } \sin \left (x \right )-\cos \left (x \right ) y = 0 \] |
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\[ {}1+y^{2} = x y^{\prime } \] |
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\[ {}x \sqrt {1+y^{2}}+y y^{\prime } \sqrt {x^{2}+1} = 0 \] |
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\[ {}x \sqrt {1-y^{2}}+y \sqrt {-x^{2}+1}\, y^{\prime } = 0 \] |
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\[ {}{\mathrm e}^{-y} y^{\prime } = 1 \] |
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\[ {}y \ln \left (y\right )+x y^{\prime } = 1 \] |
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\[ {}y^{\prime } = a^{x +y} \] |
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\[ {}{\mathrm e}^{y} \left (x^{2}+1\right ) y^{\prime }-2 x \left (1+{\mathrm e}^{y}\right ) = 0 \] |
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\[ {}2 x \sqrt {1-y^{2}} = \left (x^{2}+1\right ) y^{\prime } \] |
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\[ {}{\mathrm e}^{x} \sin \left (y\right )^{3}+\left (1+{\mathrm e}^{2 x}\right ) \cos \left (y\right ) y^{\prime } = 0 \] |
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\[ {}y^{2} \sin \left (x \right )+\cos \left (x \right )^{2} \ln \left (y\right ) y^{\prime } = 0 \] |
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\[ {}y^{\prime } = \sin \left (x -y\right ) \] |
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\[ {}y^{\prime } = a x +b y+c \] |
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\[ {}\left (x +y\right )^{2} y^{\prime } = a^{2} \] |
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\[ {}x y^{\prime }+y = a \left (x y+1\right ) \] |
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\[ {}a^{2}+y^{2}+2 x \sqrt {a x -x^{2}}\, y^{\prime } = 0 \] |
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\[ {}y^{\prime } = \frac {y}{x} \] |
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\[ {}\cos \left (y^{\prime }\right ) = 0 \] |
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\[ {}{\mathrm e}^{y^{\prime }} = 1 \] |
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\[ {}\sin \left (y^{\prime }\right ) = x \] |
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\[ {}\ln \left (y^{\prime }\right ) = x \] |
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\[ {}\tan \left (y^{\prime }\right ) = 0 \] |
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\[ {}{\mathrm e}^{y^{\prime }} = x \] |
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\[ {}\tan \left (y^{\prime }\right ) = x \] |
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\[ {}x^{2} y^{\prime } \cos \left (y\right )+1 = 0 \] |
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\[ {}x^{2} y^{\prime }+\cos \left (2 y\right ) = 1 \] |
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\[ {}x^{3} y^{\prime }-\sin \left (y\right ) = 1 \] |
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\[ {}\left (x^{2}+1\right ) y^{\prime }-\frac {\cos \left (2 y\right )^{2}}{2} = 0 \] |
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\[ {}{\mathrm e}^{y} = {\mathrm e}^{4 y} y^{\prime }+1 \] |
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\[ {}\left (1+x \right ) y^{\prime } = y-1 \] |
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\[ {}y^{\prime } = 2 x \left (\pi +y\right ) \] |
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\[ {}x^{2} y^{\prime }+\sin \left (2 y\right ) = 1 \] |
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