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ODE |
Mathematica |
Maple |
Sympy |
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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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\[
{} -y+y^{\prime } = 2 t \,{\mathrm e}^{2 t}
\]
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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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\[
{} \frac {2 y}{3}+y^{\prime } = 1-\frac {t}{2}
\]
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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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\[
{} y^{\prime } = \left (1-2 x \right ) y^{2}
\]
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\[
{} y^{\prime } = \frac {1-2 x}{y}
\]
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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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\[
{} y^{\prime } = \frac {2 x}{y+x^{2} y}
\]
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\[
{} y^{\prime } = \frac {x y^{2}}{\sqrt {x^{2}+1}}
\]
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\[
{} y^{\prime } = \frac {2 x}{1+2 y}
\]
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\[
{} y^{\prime } = \frac {x \left (x^{2}+1\right )}{4 y^{3}}
\]
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\[
{} y^{\prime } = \frac {-{\mathrm e}^{x}+3 x^{2}}{-5+2 y}
\]
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\[
{} y^{\prime } = \frac {{\mathrm e}^{-x}-{\mathrm e}^{x}}{3+4 y}
\]
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\[
{} \sin \left (2 x \right )+\cos \left (3 y\right ) y^{\prime } = 0
\]
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\[
{} \sqrt {-x^{2}+1}\, y^{2} y^{\prime } = \arcsin \left (x \right )
\]
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\[
{} y^{\prime } = \frac {3 x^{2}+1}{-6 y+3 y^{2}}
\]
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\[
{} y^{\prime } = \frac {3 x^{2}}{-4+3 y^{2}}
\]
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\[
{} y^{\prime } = 2 y^{2}+x y^{2}
\]
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\[
{} y^{\prime } = \frac {2-{\mathrm e}^{x}}{3+2 y}
\]
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\[
{} y^{\prime } = \frac {2 \cos \left (2 x \right )}{3+2 y}
\]
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\[
{} y^{\prime } = 2 \left (1+x \right ) \left (1+y^{2}\right )
\]
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\[
{} y^{\prime } = \frac {t \left (4-y\right ) y}{3}
\]
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\[
{} y^{\prime } = \frac {t y \left (4-y\right )}{t +1}
\]
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\[
{} y^{\prime } = \frac {a y+b}{d +c y}
\]
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\[
{} y^{\prime } = \frac {y^{2}+x y+x^{2}}{x^{2}}
\]
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\[
{} y^{\prime } = \frac {x^{2}+3 y^{2}}{2 x y}
\]
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\[
{} y^{\prime } = \frac {4 y-3 x}{2 x -y}
\]
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\[
{} y^{\prime } = -\frac {4 x +3 y}{y+2 x}
\]
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\[
{} y^{\prime } = \frac {3 y+x}{x -y}
\]
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\[
{} x^{2}+3 x y+y^{2}-x^{2} y^{\prime } = 0
\]
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\[
{} y^{\prime } = \frac {x^{2}-3 y^{2}}{2 x y}
\]
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\[
{} y^{\prime } = \frac {3 y^{2}-x^{2}}{2 x y}
\]
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\[
{} \ln \left (t \right ) y+\left (t -3\right ) y^{\prime } = 2 t
\]
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\[
{} y+\left (t -4\right ) t y^{\prime } = 0
\]
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\[
{} \tan \left (t \right ) y+y^{\prime } = \sin \left (t \right )
\]
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\[
{} 2 t y+\left (-t^{2}+4\right ) y^{\prime } = 3 t^{2}
\]
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\[
{} 2 t y+\left (-t^{2}+4\right ) y^{\prime } = 3 t^{2}
\]
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\[
{} y+\ln \left (t \right ) y^{\prime } = \cot \left (t \right )
\]
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\[
{} y^{\prime } = \frac {t^{2}+1}{3 y-y^{2}}
\]
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\[
{} y^{\prime } = \frac {\cot \left (t \right ) y}{1+y}
\]
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\[
{} y^{\prime } = -\frac {4 t}{y}
\]
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\[
{} y^{\prime } = 2 t y^{2}
\]
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\[
{} y^{3}+y^{\prime } = 0
\]
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\[
{} y^{\prime } = \frac {t^{2}}{\left (t^{3}+1\right ) y}
\]
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\[
{} y^{\prime } = t \left (3-y\right ) y
\]
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\[
{} y^{\prime } = y \left (3-t y\right )
\]
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\[
{} y^{\prime } = -y \left (3-t y\right )
\]
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\[
{} y^{\prime } = t -1-y^{2}
\]
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\[
{} y^{\prime } = a y+b y^{2}
\]
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\[
{} y^{\prime } = y \left (-2+y\right ) \left (-1+y\right )
\]
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\[
{} y^{\prime } = -1+{\mathrm e}^{y}
\]
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\[
{} y^{\prime } = -1+{\mathrm e}^{-y}
\]
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\[
{} y^{\prime } = -\frac {2 \arctan \left (y\right )}{1+y^{2}}
\]
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\[
{} y^{\prime } = -k \left (-1+y\right )^{2}
\]
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\[
{} y^{\prime } = y^{2} \left (y^{2}-1\right )
\]
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\[
{} y^{\prime } = y \left (1-y^{2}\right )
\]
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\[
{} y^{\prime } = -b \sqrt {y}+a y
\]
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\[
{} y^{\prime } = y^{2} \left (4-y^{2}\right )
\]
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\[
{} y^{\prime } = \left (1-y\right )^{2} y^{2}
\]
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\[
{} 3+2 x +\left (-2+2 y\right ) y^{\prime } = 0
\]
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\[
{} 2 x +4 y+\left (2 x -2 y\right ) y^{\prime } = 0
\]
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\[
{} 2+3 x^{2}-2 x y+\left (3-x^{2}+6 y^{2}\right ) y^{\prime } = 0
\]
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\[
{} 2 y+2 x y^{2}+\left (2 x +2 x^{2} y\right ) y^{\prime } = 0
\]
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\[
{} y^{\prime } = \frac {-a x -b y}{b x +c y}
\]
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\[
{} y^{\prime } = \frac {-a x +b y}{b x -c y}
\]
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\[
{} {\mathrm e}^{x} \sin \left (y\right )-2 \sin \left (x \right ) y+\left (2 \cos \left (x \right )+{\mathrm e}^{x} \cos \left (y\right )\right ) y^{\prime } = 0
\]
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\[
{} {\mathrm e}^{x} \sin \left (y\right )+3 y-\left (3 x -{\mathrm e}^{x} \sin \left (y\right )\right ) y^{\prime } = 0
\]
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