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ODE |
Mathematica |
Maple |
Sympy |
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\[
{} x \left (x -2\right )^{2} y^{\prime \prime }-2 \left (x -2\right ) y^{\prime }+2 y = 0
\]
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\[
{} 2 x y^{\prime \prime }+\left (1-x \right ) y^{\prime }-\left (1+x \right ) y = 0
\]
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\[
{} x y^{\prime \prime }-\left (x +2\right ) y^{\prime }-y = 0
\]
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\[
{} x y^{\prime \prime }-\left (x +2\right ) y^{\prime }-2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x^{2} y^{\prime }-2 y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x \left (2 x +7\right ) y^{\prime }+2 \left (5+x \right ) y = 0
\]
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\[
{} x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+2 x \left (x^{2}+3\right ) y^{\prime }+6 y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-10 x y^{\prime }-18 y = 0
\]
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\[
{} 2 x y^{\prime \prime }+\left (2 x +1\right ) y^{\prime }-3 y = 0
\]
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\[
{} y^{\prime \prime }+2 x y^{\prime }-8 y = 0
\]
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\[
{} x \left (-x^{2}+1\right ) y^{\prime \prime }-\left (x^{2}+7\right ) y^{\prime }+4 x y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x \left (2 x +1\right ) y^{\prime }+\left (1+4 x \right ) y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }-2 x \left (x +2\right ) y^{\prime }+\left (x +3\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x \left (x^{2}+1\right ) y^{\prime }+\left (-x^{2}+1\right ) y = 0
\]
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\[
{} 2 x y^{\prime \prime }+y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x \left (x^{2}-3\right ) y^{\prime }+4 y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }-x^{2} y^{\prime }+y = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }-2 y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x \left (2 x +1\right ) y^{\prime }+\left (3 x +1\right ) y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }+3 x^{2} y^{\prime }+\left (3 x +1\right ) y = 0
\]
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\[
{} x y^{\prime \prime }+\left (-x^{2}+1\right ) y^{\prime }+2 x y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }+2 x^{2} y^{\prime }-\left (x +3\right ) y = 0
\]
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\[
{} x \left (-x^{2}+1\right ) y^{\prime \prime }+5 \left (-x^{2}+1\right ) y^{\prime }-4 x y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x \left (x +3\right ) y^{\prime }+\left (2 x +1\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-\left (x^{2}+4\right ) y = 0
\]
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\[
{} x \left (1-2 x \right ) y^{\prime \prime }-2 \left (x +2\right ) y^{\prime }+18 y = 0
\]
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\[
{} x y^{\prime \prime }+\left (2-x \right ) y^{\prime }-y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 \left (1+x \right ) y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = 1
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = 1+x
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{2}+x +1
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{2}
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{2}+1
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{4}
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \sin \left (x \right )
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \sin \left (x \right )+1
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x \sin \left (x \right )
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \cos \left (x \right )+\sin \left (x \right )
\]
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\[
{} x^{2} y^{\prime \prime }+\left (-1+\cos \left (x \right )\right ) y^{\prime }+y \,{\mathrm e}^{x} = 0
\]
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\[
{} \left (x -2\right ) y^{\prime \prime }+\frac {y^{\prime }}{x}+\left (1+x \right ) y = 0
\]
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\[
{} \left (x -2\right ) y^{\prime \prime }+\frac {y^{\prime }}{x}+\left (1+x \right ) y = 0
\]
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\[
{} \left (1+x \right ) \left (3 x -1\right ) y^{\prime \prime }+\cos \left (x \right ) y^{\prime }-3 x y = 0
\]
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\[
{} x y^{\prime \prime }+2 y^{\prime }+x y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+3 x y^{\prime }-x y = x^{2}+2 x
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = 1
\]
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\[
{} 2 x^{2} y^{\prime \prime }+2 x y^{\prime }-x y = 1
\]
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\[
{} y^{\prime \prime }+\left (x -6\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+\left (3 x^{2}+2 x \right ) y^{\prime }-2 y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{2}+\cos \left (x \right )
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \cos \left (x \right )
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{3}+\cos \left (x \right )
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \cos \left (x \right ) x^{3}
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \cos \left (x \right ) x^{3}+\sin \left (x \right )^{2}
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \ln \left (x \right )
\]
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\[
{} 2 x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }+x \left (11 x^{2}+11 x +9\right ) y^{\prime }+\left (7 x^{2}+10 x +6\right ) y = 0
\]
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\[
{} x^{2} \left (x +3\right ) y^{\prime \prime }+5 x \left (1+x \right ) y^{\prime }-\left (1-4 x \right ) y = 0
\]
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\[
{} x^{2} \left (-x^{2}+2\right ) y^{\prime \prime }-x \left (4 x^{2}+3\right ) y^{\prime }+\left (-2 x^{2}+2\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+y = 0
\]
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\[
{} x y^{\prime \prime }+y^{\prime }-y = 0
\]
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\[
{} 4 x y^{\prime \prime }+2 y^{\prime }+y = 0
\]
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\[
{} x y^{\prime \prime }+y^{\prime }-y = 0
\]
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\[
{} x y^{\prime \prime }+\left (1+x \right ) y^{\prime }+2 y = 0
\]
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\[
{} x \left (x -1\right ) y^{\prime \prime }+3 x y^{\prime }+y = 0
\]
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\[
{} x^{2} \left (x^{2}-2 x +1\right ) y^{\prime \prime }-x \left (x +3\right ) y^{\prime }+\left (x +4\right ) y = 0
\]
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\[
{} 2 x^{2} \left (x +2\right ) y^{\prime \prime }+5 x^{2} y^{\prime }+\left (1+x \right ) y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+x y^{\prime }+\left (x -5\right ) y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+2 x y^{\prime }-x y = \sin \left (x \right )
\]
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\[
{} 2 x^{2} y^{\prime \prime }+2 x y^{\prime }-x y = x \sin \left (x \right )
\]
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\[
{} 2 x^{2} y^{\prime \prime }+2 x y^{\prime }-x y = \sin \left (x \right ) \cos \left (x \right )
\]
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\[
{} 2 x^{2} y^{\prime \prime }+2 x y^{\prime }-x y = x^{3}+x \sin \left (x \right )
\]
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\[
{} \cos \left (x \right ) y^{\prime \prime }+2 x y^{\prime }-x y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (x^{2}+2\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-x y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0
\]
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\[
{} \left (x^{2}-x \right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+\left (x^{2}+6 x \right ) y^{\prime }+x y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+\left (x^{2}-8\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-9 x y^{\prime }+25 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }-\left (x^{2}+\frac {5}{4}\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0
\]
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\[
{} x y^{\prime \prime }+\left (2-x \right ) y^{\prime }-y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+3 x y^{\prime }-y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+4 x^{4} y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }+y^{\prime }+y = x \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime }+\left (x -1\right ) y = 0
\]
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\[
{} y^{\prime }+y = \frac {1}{x}
\]
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\[
{} y^{\prime }+y = \frac {1}{x^{2}}
\]
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\[
{} x y^{\prime }+y = 0
\]
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\[
{} y^{\prime } = \frac {1}{x}
\]
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\[
{} y^{\prime \prime } = \frac {1}{x}
\]
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\[
{} y^{\prime \prime }+y^{\prime } = \frac {1}{x}
\]
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\[
{} y^{\prime \prime }+y = \frac {1}{x}
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y = \frac {1}{x}
\]
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\[
{} y^{\prime \prime }+y = {\mathrm e}^{a \cos \left (x \right )}
\]
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\[
{} x^{2} y^{\prime \prime }-x \left (6+x \right ) y^{\prime }+10 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-5\right ) y = 0
\]
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