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\[
{}\left (-x^{2}+1\right ) y^{\prime }-x y+a x y^{2} = 0
\] |
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\[
{}3 y^{\prime } y^{2}-a y^{3}-x -1 = 0
\] |
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\[
{}y^{\prime } \left (x^{2} y^{3}+x y\right ) = 1
\] |
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\[
{}x y^{\prime } = \left (y \ln \left (x \right )-2\right ) y
\] |
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\[
{}y-y^{\prime } \cos \left (x \right ) = y^{2} \cos \left (x \right ) \left (1-\sin \left (x \right )\right )
\] |
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\[
{}x^{2}+y+\left (x -2 y\right ) y^{\prime } = 0
\] |
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\[
{}y-3 x^{2}-\left (4 y-x \right ) y^{\prime } = 0
\] |
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\[
{}\left (y^{3}-x \right ) y^{\prime } = y
\] |
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\[
{}\frac {y^{2}}{\left (x -y\right )^{2}}-\frac {1}{x}+\left (\frac {1}{y}-\frac {x^{2}}{\left (x -y\right )^{2}}\right ) y^{\prime } = 0
\] |
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\[
{}6 x y^{2}+4 x^{3}+3 \left (2 x^{2} y+y^{2}\right ) y^{\prime } = 0
\] |
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\[
{}\frac {x}{\left (x +y\right )^{2}}+\frac {\left (y+2 x \right ) y^{\prime }}{\left (x +y\right )^{2}} = 0
\] |
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\[
{}\frac {1}{x^{2}}+\frac {3 y^{2}}{x^{4}} = \frac {2 y y^{\prime }}{x^{3}}
\] |
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\[
{}\frac {x^{2} y^{\prime }}{\left (x -y\right )^{2}}-\frac {y^{2}}{\left (x -y\right )^{2}} = 0
\] |
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\[
{}x +y y^{\prime } = \frac {y}{x^{2}+y^{2}}-\frac {x y^{\prime }}{x^{2}+y^{2}}
\] |
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\[
{}y = 2 x y^{\prime }+{y^{\prime }}^{2}
\] |
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\[
{}y = x {y^{\prime }}^{2}+{y^{\prime }}^{2}
\] |
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\[
{}y = x \left (y^{\prime }+1\right )+{y^{\prime }}^{2}
\] |
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\[
{}y = y {y^{\prime }}^{2}+2 x y^{\prime }
\] |
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\[
{}y = y y^{\prime }+y^{\prime }-{y^{\prime }}^{2}
\] |
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\[
{}y = x y^{\prime }+\sqrt {1-{y^{\prime }}^{2}}
\] |
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\[
{}y = x y^{\prime }+y^{\prime }
\] |
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\[
{}y = x y^{\prime }+\frac {1}{y^{\prime }}
\] |
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\[
{}y = x y^{\prime }-\frac {1}{{y^{\prime }}^{2}}
\] |
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\[
{}y^{\prime } = \frac {2 y}{x}-\sqrt {3}
\] |
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\[
{}y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime } = \frac {1}{2 y^{\prime }}
\] |
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\[
{}x y^{\prime \prime \prime } = 2
\] |
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\[
{}y^{\prime \prime } = a^{2} y
\] |
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\[
{}y^{\prime \prime } = \frac {a}{y^{3}}
\] |
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\[
{}x y^{\prime \prime }-y^{\prime } = {\mathrm e}^{x} x^{2}
\] |
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\[
{}y y^{\prime \prime }-{y^{\prime }}^{2}+{y^{\prime }}^{3} = 0
\] |
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\[
{}y^{\prime \prime }+\tan \left (x \right ) y^{\prime } = \sin \left (2 x \right )
\] |
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\[
{}{y^{\prime \prime }}^{2}+{y^{\prime }}^{2} = a^{2}
\] |
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\[
{}y^{\prime \prime } = \frac {1}{2 y^{\prime }}
\] |
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\[
{}y^{\prime \prime \prime } = {y^{\prime \prime }}^{2}
\] |
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\[
{}y^{\prime } y^{\prime \prime \prime }-3 {y^{\prime \prime }}^{2} = 0
\] |
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\[
{}y^{\prime \prime } = 9 y
\] |
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\[
{}y^{\prime \prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-y = 0
\] |
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\[
{}y^{\prime \prime }+12 y = 7 y^{\prime }
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+10 y = 0
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }-2 y = 0
\] |
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\[
{}4 y^{\prime \prime }-12 y^{\prime }+9 y = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime \prime }-3 a y^{\prime \prime }+3 a^{2} y^{\prime }-y a^{3} = 0
\] |
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\[
{}y^{\left (5\right )}-4 y^{\prime \prime \prime } = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+9 y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }-a^{4} y = 0
\] |
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\[
{}y^{\prime \prime }-7 y^{\prime }+12 y = x
\] |
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\[
{}s^{\prime \prime }-a^{2} s = t +1
\] |
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\[
{}y^{\prime \prime }+y^{\prime }-2 y = 8 \sin \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }-y = 5 x +2
\] |
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\[
{}y^{\prime \prime }-2 a y^{\prime }+a^{2} y = {\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }+6 y^{\prime }+5 y = {\mathrm e}^{2 x}
\] |
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\[
{}y^{\prime \prime }+9 y = 6 \,{\mathrm e}^{3 x}
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime } = 2-6 x
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+3 y = {\mathrm e}^{-x} \cos \left (x \right )
\] |
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\[
{}y^{\prime \prime }+4 y = 2 \sin \left (2 x \right )
\] |
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\[
{}y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y = 2 x +3
\] |
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\[
{}y^{\prime \prime \prime \prime }-a^{4} y = 5 a^{4} {\mathrm e}^{a x} \sin \left (a x \right )
\] |
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\[
{}y^{\prime \prime \prime \prime }+2 a^{2} y^{\prime \prime }+a^{4} y = 8 \cos \left (a x \right )
\] |
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\[
{}y^{\prime \prime }+2 h y^{\prime }+n^{2} y = 0
\] |
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\[
{}y^{\prime \prime }+n^{2} y = h \sin \left (r x \right )
\] |
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\[
{}y^{\prime \prime }-7 y^{\prime }+6 y = \sin \left (x \right )
\] |
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\[
{}y^{\prime \prime }+y = \sec \left (x \right )
\] |
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\[
{}y^{\prime \prime }+y = \frac {1}{\cos \left (2 x \right )^{{3}/{2}}}
\] |
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\[
{}[x^{\prime }\left (t \right ) = y \left (t \right )+1, y^{\prime }\left (t \right ) = x \left (t \right )+1]
\] |
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\[
{}[x^{\prime }\left (t \right ) = x \left (t \right )-2 y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )-y \left (t \right )]
\] |
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\[
{}[4 x^{\prime }\left (t \right )-y^{\prime }\left (t \right )+3 x \left (t \right ) = \sin \left (t \right ), x^{\prime }\left (t \right )+y \left (t \right ) = \cos \left (t \right )]
\] |
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\[
{}y y^{\prime \prime } = 1+{y^{\prime }}^{2}
\] |
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\[
{}\frac {x^{2} y^{\prime }}{\left (x -y\right )^{2}}-\frac {y^{2}}{\left (x -y\right )^{2}} = 0
\] |
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\[
{}y = x {y^{\prime }}^{2}+{y^{\prime }}^{2}
\] |
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\[
{}y^{\prime \prime }+y = \sec \left (x \right )
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime }-x y-\alpha = 0
\] |
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\[
{}x \cos \left (\frac {y}{x}\right ) y^{\prime } = y \cos \left (\frac {y}{x}\right )-x
\] |
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\[
{}y^{\prime \prime }-4 y = {\mathrm e}^{2 x} \sin \left (2 x \right )
\] |
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\[
{}x y^{\prime }+y-y^{2} \ln \left (x \right ) = 0
\] |
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\[
{}2 x +2 y-1+\left (x +y-2\right ) y^{\prime } = 0
\] |
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\[
{}3 \,{\mathrm e}^{x} \tan \left (y\right )+\left (1-{\mathrm e}^{x}\right ) \sec \left (y\right )^{2} y^{\prime } = 0
\] |
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\[
{}[x^{\prime }\left (t \right ) = 2 x \left (t \right )-3 y \left (t \right ), y^{\prime }\left (t \right ) = 5 x \left (t \right )+6 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = -4 x \left (t \right )-10 y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )-2 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 12 x \left (t \right )+18 y \left (t \right ), y^{\prime }\left (t \right ) = -8 x \left (t \right )-12 y \left (t \right )]
\] |
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\[
{}y^{\prime } = y^{2}+x
\] |
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\[
{}y^{\prime }+\frac {y}{x} = {\mathrm e}^{x}
\] |
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\[
{}[x^{\prime }\left (t \right ) = y \left (t \right )-x \left (t \right ), y^{\prime }\left (t \right ) = -x \left (t \right )-3 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = x \left (t \right )-5 y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )-y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = x \left (t \right )+y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )-2 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = -4 x \left (t \right )+2 y \left (t \right ), y^{\prime }\left (t \right ) = 3 x \left (t \right )-2 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = x \left (t \right )+2 y \left (t \right ), y^{\prime }\left (t \right ) = 2 x \left (t \right )+2 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 4 x \left (t \right )-2 y \left (t \right ), y^{\prime }\left (t \right ) = 3 x \left (t \right )-y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 2 x \left (t \right )+y \left (t \right ), y^{\prime }\left (t \right ) = y \left (t \right )-x \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 3 x \left (t \right )-y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )+y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = x \left (t \right )-y \left (t \right ), y^{\prime }\left (t \right ) = 2 x \left (t \right )-2 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = x \left (t \right ), y^{\prime }\left (t \right ) = 2 x \left (t \right )-3 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = x \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )+3 y \left (t \right )]
\] |
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