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ODE |
Mathematica |
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\[ {}y^{\prime } = t y \] |
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\[ {}y^{\prime } = 3 y+{\mathrm e}^{7 t} \] |
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\[ {}y^{\prime } = \frac {t y}{t^{2}+1} \] |
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\[ {}y^{\prime } = -5 y+\sin \left (3 t \right ) \] |
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\[ {}y^{\prime } = t +\frac {2 y}{t +1} \] |
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\[ {}y^{\prime } = 3+y^{2} \] |
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\[ {}y^{\prime } = 2 y-y^{2} \] |
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\[ {}y^{\prime } = -3 y+{\mathrm e}^{-2 t}+t^{2} \] |
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\[ {}x^{\prime } = -t x \] |
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\[ {}y^{\prime } = 2 y+\cos \left (4 t \right ) \] |
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\[ {}y^{\prime } = 3 y+2 \,{\mathrm e}^{3 t} \] |
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\[ {}y^{\prime } = t^{2} y^{3}+y^{3} \] |
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\[ {}y^{\prime }+5 y = 3 \,{\mathrm e}^{-5 t} \] |
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\[ {}y^{\prime } = 2 t y+3 t \,{\mathrm e}^{t^{2}} \] |
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\[ {}y^{\prime } = \frac {\left (t +1\right )^{2}}{\left (y+1\right )^{2}} \] |
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\[ {}y^{\prime } = 2 t y^{2}+3 t^{2} y^{2} \] |
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\[ {}y^{\prime } = 1-y^{2} \] |
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\[ {}y^{\prime } = \frac {t^{2}}{y+t^{3} y} \] |
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\[ {}y^{\prime } = y^{2}-2 y+1 \] |
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\[ {}y^{\prime } = \left (y-2\right ) \left (y+1-\cos \left (t \right )\right ) \] |
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\[ {}y^{\prime } = \left (y-1\right ) \left (y-2\right ) \left (y-{\mathrm e}^{\frac {t}{2}}\right ) \] |
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\[ {}y^{\prime } = t^{2} y+1+y+t^{2} \] |
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\[ {}y^{\prime } = \frac {2 y+1}{t} \] |
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\[ {}y^{\prime } = 3-y^{2} \] |
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\[ {}y^{\prime } = 3-\sin \left (x \right ) \] |
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\[ {}y^{\prime } = 3-\sin \left (y\right ) \] |
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\[ {}y^{\prime }+4 y = {\mathrm e}^{2 x} \] |
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\[ {}x y^{\prime } = \arcsin \left (x^{2}\right ) \] |
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\[ {}y y^{\prime } = 2 x \] |
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\[ {}y^{\prime } = 4 x^{3} \] |
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\[ {}y^{\prime } = 20 \,{\mathrm e}^{-4 x} \] |
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\[ {}x y^{\prime }+\sqrt {x} = 2 \] |
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\[ {}\sqrt {x +4}\, y^{\prime } = 1 \] |
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\[ {}y^{\prime } = x \cos \left (x^{2}\right ) \] |
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\[ {}y^{\prime } = x \cos \left (x \right ) \] |
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\[ {}x = \left (x^{2}-9\right ) y^{\prime } \] |
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\[ {}1 = \left (x^{2}-9\right ) y^{\prime } \] |
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\[ {}1 = x^{2}-9 y^{\prime } \] |
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\[ {}y^{\prime } = 40 \,{\mathrm e}^{2 x} x \] |
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\[ {}\left (x +6\right )^{\frac {1}{3}} y^{\prime } = 1 \] |
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\[ {}y^{\prime } = \frac {-1+x}{1+x} \] |
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\[ {}x y^{\prime }+2 = \sqrt {x} \] |
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\[ {}y^{\prime } \cos \left (x \right )-\sin \left (x \right ) = 0 \] |
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\[ {}\left (x^{2}+1\right ) y^{\prime } = 1 \] |
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\[ {}y^{\prime } = \sin \left (\frac {x}{2}\right ) \] |
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\[ {}y^{\prime } = \sin \left (\frac {x}{2}\right ) \] |
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\[ {}y^{\prime } = \sin \left (\frac {x}{2}\right ) \] |
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\[ {}y^{\prime } = 3 \sqrt {x +3} \] |
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\[ {}y^{\prime } = 3 \sqrt {x +3} \] |
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\[ {}y^{\prime } = 3 \sqrt {x +3} \] |
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\[ {}y^{\prime } = 3 \sqrt {x +3} \] |
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\[ {}y^{\prime } = x \,{\mathrm e}^{-x^{2}} \] |
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\[ {}y^{\prime } = \frac {x}{\sqrt {x^{2}+5}} \] |
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\[ {}y^{\prime } = \frac {1}{x^{2}+1} \] |
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\[ {}y^{\prime } = {\mathrm e}^{-9 x^{2}} \] |
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\[ {}x y^{\prime } = \sin \left (x \right ) \] |
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\[ {}x y^{\prime } = \sin \left (x^{2}\right ) \] |
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\[ {}y^{\prime } = \left \{\begin {array}{cc} 0 & x <0 \\ 1 & 0\le x \end {array}\right . \] |
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\[ {}y^{\prime } = \left \{\begin {array}{cc} 0 & x <1 \\ 1 & 1\le x \end {array}\right . \] |
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\[ {}y^{\prime } = \left \{\begin {array}{cc} 0 & x <1 \\ 1 & 1\le x <2 \\ 0 & 2\le x \end {array}\right . \] |
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\[ {}y^{\prime }+3 x y = 6 x \] |
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\[ {}\sin \left (x +y\right )-y y^{\prime } = 0 \] |
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\[ {}y^{\prime }-y^{3} = 8 \] |
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\[ {}x^{2} y^{\prime }+x y^{2} = x \] |
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\[ {}y^{\prime }-y^{2} = x \] |
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\[ {}y^{3}-25 y+y^{\prime } = 0 \] |
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\[ {}\left (-2+x \right ) y^{\prime } = 3+y \] |
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\[ {}\left (y-2\right ) y^{\prime } = x -3 \] |
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\[ {}y^{\prime }+2 y-y^{2} = -2 \] |
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\[ {}y^{\prime }+\left (8-x \right ) y-y^{2} = -8 x \] |
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\[ {}y^{\prime } = 2 \sqrt {y} \] |
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\[ {}y^{\prime } = 3 y^{2}-y^{2} \sin \left (x \right ) \] |
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\[ {}y^{\prime } = 3 x -y \sin \left (x \right ) \] |
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\[ {}x y^{\prime } = \left (x -y\right )^{2} \] |
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\[ {}y^{\prime } = \sqrt {x^{2}+1} \] |
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\[ {}y^{\prime }+4 y = 8 \] |
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\[ {}y^{\prime }+x y = 4 x \] |
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\[ {}y^{\prime }+4 y = x^{2} \] |
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\[ {}y^{\prime } = x y-3 x -2 y+6 \] |
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\[ {}y^{\prime } = \sin \left (x +y\right ) \] |
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\[ {}y y^{\prime } = {\mathrm e}^{x -3 y^{2}} \] |
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\[ {}y^{\prime } = \frac {x}{y} \] |
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\[ {}y^{\prime } = y^{2}+9 \] |
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\[ {}x y y^{\prime } = y^{2}+9 \] |
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\[ {}y^{\prime } = \frac {1+y^{2}}{x^{2}+1} \] |
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\[ {}\cos \left (y\right ) y^{\prime } = \sin \left (x \right ) \] |
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\[ {}y^{\prime } = {\mathrm e}^{2 x -3 y} \] |
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\[ {}y^{\prime } = \frac {x}{y} \] |
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\[ {}y^{\prime } = 2 x -1+2 x y-y \] |
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\[ {}y y^{\prime } = x y^{2}+x \] |
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\[ {}y y^{\prime } = 3 \sqrt {x y^{2}+9 x} \] |
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\[ {}y^{\prime } = x y-4 x \] |
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\[ {}y^{\prime }-4 y = 2 \] |
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\[ {}y y^{\prime } = x y^{2}-9 x \] |
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\[ {}y^{\prime } = \sin \left (y\right ) \] |
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\[ {}y^{\prime } = {\mathrm e}^{x +y^{2}} \] |
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\[ {}y^{\prime } = 200 y-2 y^{2} \] |
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\[ {}y^{\prime } = x y-4 x \] |
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\[ {}y^{\prime } = x y-3 x -2 y+6 \] |
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\[ {}y^{\prime } = 3 y^{2}-y^{2} \sin \left (x \right ) \] |
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