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Mathematica |
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\[
{}x^{2} y^{\prime \prime }-x y^{\prime }-3 y = 0
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\[
{}4 t^{2} x^{\prime \prime }+8 t x^{\prime }+5 x = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-5 x y^{\prime }+5 y = 0
\] |
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\[
{}3 x^{2} z^{\prime \prime }+5 x z^{\prime }-z = 0
\] |
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\[
{}t^{2} x^{\prime \prime }+3 t x^{\prime }+13 x = 0
\] |
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\[
{}a y^{\prime \prime }+\left (b -a \right ) y^{\prime }+c y = 0
\] |
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\[
{}\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+n \left (n +1\right ) y = 0
\] |
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\[
{}y^{\prime \prime }-x y^{\prime }+y = 0
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime \prime }+y = 0
\] |
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\[
{}2 x y^{\prime \prime }+y^{\prime }-2 y = 0
\] |
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\[
{}y^{\prime \prime }-2 x y^{\prime }-4 y = 0
\] |
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\[
{}y^{\prime \prime }-2 x y^{\prime }+4 y = 0
\] |
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\[
{}x \left (1-x \right ) y^{\prime \prime }-3 x y^{\prime }-y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }-x^{2} y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (-n^{2}+x^{2}\right ) y = 0
\] |
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\[
{}[x^{\prime }\left (t \right ) = 4 x \left (t \right )-y \left (t \right ), y^{\prime }\left (t \right ) = 2 x \left (t \right )+y \left (t \right )+t^{2}]
\] |
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\[
{}[x^{\prime }\left (t \right ) = x \left (t \right )-4 y \left (t \right )+\cos \left (2 t \right ), y^{\prime }\left (t \right ) = x \left (t \right )+y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 2 x \left (t \right )+2 y \left (t \right ), y^{\prime }\left (t \right ) = 6 x \left (t \right )+3 y \left (t \right )+{\mathrm e}^{t}]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 5 x \left (t \right )-4 y \left (t \right )+{\mathrm e}^{3 t}, y^{\prime }\left (t \right ) = x \left (t \right )+y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 2 x \left (t \right )+5 y \left (t \right ), y^{\prime }\left (t \right ) = -2 x \left (t \right )+\cos \left (3 t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = x \left (t \right )+y \left (t \right )+{\mathrm e}^{-t}, y^{\prime }\left (t \right ) = 4 x \left (t \right )-2 y \left (t \right )+{\mathrm e}^{2 t}]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 8 x \left (t \right )+14 y \left (t \right ), y^{\prime }\left (t \right ) = 7 x \left (t \right )+y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 8 x \left (t \right )+14 y \left (t \right ), y^{\prime }\left (t \right ) = 7 x \left (t \right )+y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 2 x \left (t \right ), y^{\prime }\left (t \right ) = -5 x \left (t \right )-3 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 11 x \left (t \right )-2 y \left (t \right ), y^{\prime }\left (t \right ) = 3 x \left (t \right )+4 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = x \left (t \right )+20 y \left (t \right ), y^{\prime }\left (t \right ) = 40 x \left (t \right )-19 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = -2 x \left (t \right )+2 y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )-y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = -y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )-y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = -2 x \left (t \right )+3 y \left (t \right ), y^{\prime }\left (t \right ) = -6 x \left (t \right )+4 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = -11 x \left (t \right )-2 y \left (t \right ), y^{\prime }\left (t \right ) = 13 x \left (t \right )-9 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 7 x \left (t \right )-5 y \left (t \right ), y^{\prime }\left (t \right ) = 10 x \left (t \right )-3 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 5 x \left (t \right )-4 y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )+y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = -6 x \left (t \right )+2 y \left (t \right ), y^{\prime }\left (t \right ) = -2 x \left (t \right )-2 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = -3 x \left (t \right )-y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )-5 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 13 x \left (t \right ), y^{\prime }\left (t \right ) = 13 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 7 x \left (t \right )-4 y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )+3 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = -x \left (t \right )+y \left (t \right ), y^{\prime }\left (t \right ) = -x \left (t \right )+y \left (t \right )]
\] |
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\[
{}\tan \left (y\right )-\cot \left (x \right ) y^{\prime } = 0
\] |
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\[
{}12 x +6 y-9+\left (5 x +2 y-3\right ) y^{\prime } = 0
\] |
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\[
{}x y^{\prime } = \sqrt {x^{2}+y^{2}}+y
\] |
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\[
{}x y^{\prime }+y = x^{3}
\] |
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\[
{}-x y^{\prime }+y = x^{2} y y^{\prime }
\] |
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\[
{}x^{\prime }+3 x = {\mathrm e}^{2 t}
\] |
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\[
{}y \sin \left (x \right )+y^{\prime } \cos \left (x \right ) = 1
\] |
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\[
{}y^{\prime } = {\mathrm e}^{x -y}
\] |
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\[
{}x^{\prime } = x+\sin \left (t \right )
\] |
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\[
{}x \left (\ln \left (x \right )-\ln \left (y\right )\right ) y^{\prime }-y = 0
\] |
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\[
{}x y {y^{\prime }}^{2}-\left (x^{2}+y^{2}\right ) y^{\prime }+x y = 0
\] |
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\[
{}{y^{\prime }}^{2} = 9 y^{4}
\] |
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\[
{}x^{\prime } = {\mathrm e}^{\frac {x}{t}}+\frac {x}{t}
\] |
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\[
{}x^{2}+{y^{\prime }}^{2} = 1
\] |
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\[
{}y = x y^{\prime }+\frac {1}{y}
\] |
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\[
{}x = {y^{\prime }}^{3}-y^{\prime }+2
\] |
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\[
{}y^{\prime } = \frac {y}{x +y^{3}}
\] |
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\[
{}y = {y^{\prime }}^{4}-{y^{\prime }}^{3}-2
\] |
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\[
{}{y^{\prime }}^{2}+y^{2} = 4
\] |
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\[
{}y^{\prime } = \frac {2 y-x -4}{2 x -y+5}
\] |
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\[
{}y^{\prime }-\frac {y}{1+x}+y^{2} = 0
\] |
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\[
{}y^{\prime } = y^{2}+x
\] |
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\[
{}y^{\prime } = x y^{3}+x^{2}
\] |
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\[
{}y^{\prime } = x^{2}-y^{2}
\] |
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\[
{}2 x +2 y-1+\left (x +y-2\right ) y^{\prime } = 0
\] |
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\[
{}{y^{\prime }}^{3}-y^{\prime } {\mathrm e}^{2 x} = 0
\] |
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\[
{}y = 5 x y^{\prime }-{y^{\prime }}^{2}
\] |
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\[
{}y^{\prime } = x -y^{2}
\] |
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\[
{}y^{\prime } = \left (x -5 y\right )^{{1}/{3}}+2
\] |
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\[
{}y \left (x -y\right )-x^{2} y^{\prime } = 0
\] |
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\[
{}x^{\prime }+5 x = 10 t +2
\] |
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\[
{}x^{\prime } = \frac {x}{t}+\frac {x^{2}}{t^{3}}
\] |
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\[
{}y = x y^{\prime }+{y^{\prime }}^{2}
\] |
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\[
{}y = x y^{\prime }+{y^{\prime }}^{2}
\] |
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\[
{}y^{\prime } = \frac {3 x -4 y-2}{3 x -4 y-3}
\] |
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\[
{}x^{\prime }-x \cot \left (t \right ) = 4 \sin \left (t \right )
\] |
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\[
{}y = x^{2}+2 x y^{\prime }+\frac {{y^{\prime }}^{2}}{2}
\] |
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\[
{}y^{\prime }-\frac {3 y}{x}+y^{2} x^{3} = 0
\] |
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\[
{}y \left (1+{y^{\prime }}^{2}\right ) = a
\] |
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\[
{}x^{2}-y+\left (x^{2} y^{2}+x \right ) y^{\prime } = 0
\] |
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\[
{}3 y^{2}-x +2 y \left (y^{2}-3 x \right ) y^{\prime } = 0
\] |
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\[
{}y \left (x -y\right )-x^{2} y^{\prime } = 0
\] |
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\[
{}y^{\prime } = \frac {x +y-3}{y-x +1}
\] |
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\[
{}x y^{\prime }-y^{2} \ln \left (x \right )+y = 0
\] |
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\[
{}\left (x^{2}-1\right ) y^{\prime }+2 x y-\cos \left (x \right ) = 0
\] |
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\[
{}\left (4 y+2 x +3\right ) y^{\prime }-2 y-x -1 = 0
\] |
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\[
{}\left (y^{2}-x \right ) y^{\prime }-y+x^{2} = 0
\] |
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\[
{}\left (y^{2}-x^{2}\right ) y^{\prime }+2 x y = 0
\] |
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\[
{}3 y^{2} y^{\prime } x +y^{3}-2 x = 0
\] |
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\[
{}{y^{\prime }}^{2}+\left (x +a \right ) y^{\prime }-y = 0
\] |
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\[
{}{y^{\prime }}^{2}-2 x y^{\prime }+y = 0
\] |
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\[
{}{y^{\prime }}^{2}+2 y y^{\prime } \cot \left (x \right )-y^{2} = 0
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+10 y = 100
\] |
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