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Mathematica |
Maple |
Sympy |
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = 2 x
\]
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\[
{} x^{2} \left (2-x \right ) y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} x y^{\prime \prime }-2 \left (1+x \right ) y^{\prime }+\left (x +2\right ) y = 0
\]
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\[
{} 3 x y^{\prime \prime }-2 \left (3 x -1\right ) y^{\prime }+\left (3 x -2\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+\left (1+x \right ) y^{\prime }-y = 0
\]
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\[
{} x \left (1+x \right ) y^{\prime \prime }-\left (x -1\right ) y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime }-x y = \frac {1}{x}
\]
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\[
{} x \ln \left (y\right ) y^{\prime }-y \ln \left (x \right ) = 0
\]
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\[
{} y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime } = 0
\]
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\[
{} r^{\prime \prime }-6 r^{\prime }+9 r = 0
\]
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\[
{} 2 x -y \sin \left (2 x \right ) = \left (\sin \left (x \right )^{2}-2 y\right ) y^{\prime }
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 10 \,{\mathrm e}^{x}+6 \,{\mathrm e}^{-x} \cos \left (x \right )
\]
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\[
{} 3 x^{3} y^{2} y^{\prime }-x^{2} y^{3} = 1
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = x
\]
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\[
{} y^{\prime }-2 y-y^{2} {\mathrm e}^{3 x} = 0
\]
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\[
{} u \left (-v +1\right )+v^{2} \left (1-u\right ) u^{\prime } = 0
\]
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\[
{} y+2 x -x y^{\prime } = 0
\]
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\[
{} x y^{\prime \prime }+y^{\prime } = 4 x
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+5 y = 26 \,{\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+5 y = 2 \,{\mathrm e}^{-2 x} \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 6 \,{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+6 y = {\mathrm e}^{2 x}
\]
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\[
{} \left (y+2 x \right ) y^{\prime }-x +2 y = 0
\]
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\[
{} \left (x \cos \left (y\right )-{\mathrm e}^{-\sin \left (y\right )}\right ) y^{\prime }+1 = 0
\]
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\[
{} \sin \left (x \right )^{2} y^{\prime }+\sin \left (x \right )^{2}+\left (x +y\right ) \sin \left (2 x \right ) = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+5 y = 5 x +4 \,{\mathrm e}^{x} \left (1+\sin \left (2 x \right )\right )
\]
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\[
{} y^{\prime }+x y = \frac {x}{y}
\]
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\[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+13 y^{\prime \prime }-18 y^{\prime }+36 y = 0
\]
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\[
{} \sin \left (\theta \right ) \cos \left (\theta \right ) r^{\prime }-\sin \left (\theta \right )^{2} = r \cos \left (\theta \right )^{2}
\]
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\[
{} x \left (y y^{\prime \prime }+{y^{\prime }}^{2}\right ) = y y^{\prime }
\]
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\[
{} 3 x^{2} y+x^{3} y^{\prime } = 0
\]
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\[
{} x y^{\prime }-y = x^{2}
\]
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\[
{} y^{\prime \prime }+y^{\prime }-6 y = 6
\]
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\[
{} y y^{\prime \prime }+{y^{\prime }}^{2}+4 = 0
\]
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\[
{} x y^{\prime } = x y+y
\]
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\[
{} x y^{\prime } = x y+y
\]
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\[
{} y^{\prime } = 3 x^{2} y
\]
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\[
{} y^{\prime } = 3 x^{2} y
\]
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\[
{} x y^{\prime } = y
\]
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\[
{} x y^{\prime } = y
\]
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\[
{} y^{\prime \prime } = -4 y
\]
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\[
{} y^{\prime \prime } = -4 y
\]
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\[
{} y^{\prime \prime } = y
\]
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\[
{} y^{\prime \prime } = y
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+3 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+3 y = 0
\]
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\[
{} \left (x^{2}+2 x \right ) y^{\prime \prime }-2 \left (1+x \right ) y^{\prime }+2 y = 0
\]
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\[
{} \left (x^{2}+2 x \right ) y^{\prime \prime }-2 \left (1+x \right ) y^{\prime }+2 y = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-2\right ) y = 0
\]
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\[
{} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-2\right ) y = 0
\]
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\[
{} y^{\prime }-\sin \left (x +y\right ) = 0
\]
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\[
{} y^{\prime } = 4 y^{2}-3 y+1
\]
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\[
{} s^{\prime } = t \ln \left (s^{2 t}\right )+8 t^{2}
\]
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\[
{} y^{\prime } = \frac {y \,{\mathrm e}^{x +y}}{x^{2}+2}
\]
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\[
{} \left (x y^{2}+3 y^{2}\right ) y^{\prime }-2 x = 0
\]
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\[
{} s^{2}+s^{\prime } = \frac {s+1}{s t}
\]
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\[
{} x y^{\prime } = \frac {1}{y^{3}}
\]
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\[
{} x^{\prime } = 3 x t^{2}
\]
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\[
{} x^{\prime } = \frac {t \,{\mathrm e}^{-t -2 x}}{x}
\]
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\[
{} y^{\prime } = \frac {x}{y^{2} \sqrt {1+x}}
\]
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\[
{} x v^{\prime } = \frac {1-4 v^{2}}{3 v}
\]
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\[
{} y^{\prime } = \frac {\sec \left (y\right )^{2}}{x^{2}+1}
\]
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\[
{} y^{\prime } = 3 x^{2} \left (1+y^{2}\right )^{{3}/{2}}
\]
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\[
{} x^{\prime }-x^{3} = x
\]
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\[
{} x +x y^{2}+{\mathrm e}^{x^{2}} y y^{\prime } = 0
\]
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\[
{} \frac {y^{\prime }}{y}+y \,{\mathrm e}^{\cos \left (x \right )} \sin \left (x \right ) = 0
\]
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\[
{} y^{\prime } = \left (1+y^{2}\right ) \tan \left (x \right )
\]
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\[
{} y^{\prime } = x^{3} \left (1-y\right )
\]
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\[
{} \frac {y^{\prime }}{2} = \sqrt {y+1}\, \cos \left (x \right )
\]
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\[
{} x^{2} y^{\prime } = \frac {4 x^{2}-x -2}{\left (1+x \right ) \left (y+1\right )}
\]
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\[
{} \frac {y^{\prime }}{\theta } = \frac {y \sin \left (\theta \right )}{y^{2}+1}
\]
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\[
{} x^{2}+2 y y^{\prime } = 0
\]
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\[
{} y^{\prime } = 2 t \cos \left (y\right )^{2}
\]
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\[
{} y^{\prime } = 8 x^{3} {\mathrm e}^{-2 y}
\]
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\[
{} y^{\prime } = x^{2} \left (y+1\right )
\]
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\[
{} \sqrt {y}+\left (1+x \right ) y^{\prime } = 0
\]
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\[
{} y^{\prime } = {\mathrm e}^{x^{2}}
\]
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\[
{} y^{\prime } = \frac {{\mathrm e}^{x^{2}}}{y^{2}}
\]
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\[
{} y^{\prime } = \sqrt {\sin \left (x \right )+1}\, \left (1+y^{2}\right )
\]
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\[
{} y^{\prime } = 2 y-2 t y
\]
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\[
{} y^{\prime } = y^{{1}/{3}}
\]
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\[
{} y^{\prime } = y^{{1}/{3}}
\]
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\[
{} y^{\prime } = \left (x -3\right ) \left (y+1\right )^{{2}/{3}}
\]
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\[
{} y^{\prime } = x y^{3}
\]
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\[
{} y^{\prime } = x y^{3}
\]
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\[
{} y^{\prime } = x y^{3}
\]
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\[
{} y^{\prime } = x y^{3}
\]
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\[
{} y^{\prime } = y^{2}-3 y+2
\]
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\[
{} x^{2} y^{\prime }+\sin \left (x \right )-y = 0
\]
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\[
{} x^{\prime }+t x = {\mathrm e}^{x}
\]
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\[
{} \left (t^{2}+1\right ) y^{\prime } = t y-y
\]
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\[
{} 3 t = {\mathrm e}^{t} y^{\prime }+y \ln \left (t \right )
\]
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\[
{} x x^{\prime }+x t^{2} = \sin \left (t \right )
\]
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\[
{} 3 r = r^{\prime }-\theta ^{3}
\]
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\[
{} y^{\prime }-y-{\mathrm e}^{3 x} = 0
\]
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