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Mathematica |
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\[
{}y^{\prime \prime \prime \prime } = \frac {1}{x^{3}}
\] |
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\[
{}y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime } = 1+x
\] |
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\[
{}y^{\prime \prime \prime }+2 y^{\prime \prime } = x
\] |
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\[
{}y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = {\mathrm e}^{2 x}
\] |
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\[
{}y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 12 \,{\mathrm e}^{-x}
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+4 y = \sin \left (x \right ) {\mathrm e}^{2 x}
\] |
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\[
{}y^{\prime } = 2 x y
\] |
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\[
{}y^{\prime }+y = 1
\] |
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\[
{}x y^{\prime } = y
\] |
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\[
{}x^{2} y^{\prime } = y
\] |
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\[
{}y^{\prime } = 1+y^{2}
\] |
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\[
{}y^{\prime } = x -y
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\] |
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\[
{}y^{\prime \prime }+x y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+x y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime }-x y = 0
\] |
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\[
{}y^{\prime \prime }+x y = 0
\] |
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\[
{}\left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+n^{2} y = 0
\] |
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\[
{}y^{\prime \prime }-2 x y^{\prime }+2 n y = 0
\] |
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\[
{}x^{3} \left (x -1\right ) y^{\prime \prime }-2 \left (x -1\right ) y^{\prime }+3 x y = 0
\] |
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\[
{}x^{2} \left (x^{2}-1\right )^{2} y^{\prime \prime }-x \left (1-x \right ) y^{\prime }+2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+\left (2-x \right ) y^{\prime } = 0
\] |
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\[
{}\left (1+3 x \right ) x y^{\prime \prime }-\left (1+x \right ) y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime }+y \sin \left (x \right ) = 0
\] |
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\[
{}x y^{\prime \prime }+y \sin \left (x \right ) = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+y \sin \left (x \right ) = 0
\] |
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\[
{}x^{3} y^{\prime \prime }+y \sin \left (x \right ) = 0
\] |
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\[
{}x^{4} y^{\prime \prime }+y \sin \left (x \right ) = 0
\] |
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\[
{}x^{3} y^{\prime \prime }+\left (-1+\cos \left (2 x \right )\right ) y^{\prime }+2 x y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }+\left (2 x^{4}-5 x \right ) y^{\prime }+\left (3 x^{2}+2\right ) y = 0
\] |
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\[
{}4 x y^{\prime \prime }+2 y^{\prime }+y = 0
\] |
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\[
{}2 x y^{\prime \prime }+\left (3-x \right ) y^{\prime }-y = 0
\] |
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\[
{}2 x y^{\prime \prime }+\left (1+x \right ) y^{\prime }+3 y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }+x y^{\prime }-\left (1+x \right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+x^{2} y = 0
\] |
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\[
{}y^{\prime \prime }+\frac {y^{\prime }}{x^{2}}-\frac {y}{x^{3}} = 0
\] |
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\[
{}y^{\prime \prime }+\frac {n y^{\prime }}{x^{2}}+\frac {q y}{x^{3}} = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-3 x y^{\prime }+\left (4 x +4\right ) y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }-8 x^{2} y^{\prime }+\left (4 x^{2}+1\right ) y = 0
\] |
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\[
{}x y^{\prime \prime }+2 y^{\prime }+x y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x^{2} y^{\prime }+\left (x^{2}-2\right ) y = 0
\] |
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\[
{}x y^{\prime \prime }-y^{\prime }+4 x^{3} y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0
\] |
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\[
{}x \left (1-x \right ) y^{\prime \prime }+\left (\frac {3}{2}-2 x \right ) y^{\prime }+2 y = 0
\] |
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\[
{}\left (2 x^{2}+2 x \right ) y^{\prime \prime }+\left (1+5 x \right ) y^{\prime }+y = 0
\] |
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\[
{}\left (x^{2}-1\right ) y^{\prime \prime }+\left (5 x +4\right ) y^{\prime }+4 y = 0
\] |
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\[
{}\left (x^{2}-x -6\right ) y^{\prime \prime }+\left (3 x +5\right ) y^{\prime }+y = 0
\] |
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\[
{}x \left (1-x \right ) y^{\prime \prime }+\left (1-3 x \right ) y^{\prime }-y = 0
\] |
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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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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (-n^{2}+x^{2}\right ) y = 0
\] |
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\[
{}y^{\prime }+y = 3 \,{\mathrm e}^{2 x}
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+2 y = 2
\] |
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\[
{}y^{\prime \prime }+y^{\prime } = 3 x^{2}
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+5 y = 3 \sin \left (x \right ) {\mathrm e}^{-x}
\] |
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\[
{}y^{\prime \prime }-2 a y^{\prime }+a^{2} y = 0
\] |
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\[
{}x y^{\prime \prime }+\left (3 x -1\right ) y^{\prime }-\left (4 x +9\right ) y = 0
\] |
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\[
{}x y^{\prime \prime }+\left (2 x +3\right ) y^{\prime }+\left (x +3\right ) y = 3 \,{\mathrm e}^{-x}
\] |
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\[
{}y^{\prime \prime }+x^{2} y = 0
\] |
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\[
{}y^{\prime \prime }+a^{2} y = f \left (x \right )
\] |
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\[
{}y^{\prime \prime }+5 y^{\prime }+6 y = 4 \,{\mathrm e}^{3 t}
\] |
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\[
{}y^{\prime \prime }+y^{\prime }-6 y = t
\] |
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\[
{}y^{\prime \prime }-y^{\prime } = t^{2}
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = f \left (t \right )
\] |
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\[
{}[x^{\prime }\left (t \right ) = x \left (t \right )+3 y \left (t \right ), y^{\prime }\left (t \right ) = 3 x \left (t \right )+y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = x \left (t \right )+2 y \left (t \right ), y^{\prime }\left (t \right ) = 3 x \left (t \right )+2 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = x \left (t \right )+2 y \left (t \right )+t -1, y^{\prime }\left (t \right ) = 3 x \left (t \right )+2 y \left (t \right )-5 t -2]
\] |
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\[
{}[x^{\prime }\left (t \right ) = x \left (t \right )+y \left (t \right ), y^{\prime }\left (t \right ) = y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = x \left (t \right ), y^{\prime }\left (t \right ) = y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = -3 x \left (t \right )+4 y \left (t \right ), y^{\prime }\left (t \right ) = -2 x \left (t \right )+3 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 4 x \left (t \right )-2 y \left (t \right ), y^{\prime }\left (t \right ) = 5 x \left (t \right )+2 y \left (t \right )]
\] |
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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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\[
{}[x^{\prime }\left (t \right ) = 4 x \left (t \right )-3 y \left (t \right ), y^{\prime }\left (t \right ) = 8 x \left (t \right )-6 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 2 x \left (t \right ), y^{\prime }\left (t \right ) = 3 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = -4 x \left (t \right )-y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )-2 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 7 x \left (t \right )+6 y \left (t \right ), y^{\prime }\left (t \right ) = 2 x \left (t \right )+6 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = x \left (t \right )-2 y \left (t \right ), y^{\prime }\left (t \right ) = 4 x \left (t \right )+5 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = x \left (t \right )+y \left (t \right )-5 t +2, y^{\prime }\left (t \right ) = 4 x \left (t \right )-2 y \left (t \right )-8 t -8]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 2 x \left (t \right ), y^{\prime }\left (t \right ) = 3 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = -x \left (t \right )-2 y \left (t \right ), y^{\prime }\left (t \right ) = 4 x \left (t \right )-5 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = -3 x \left (t \right )+4 y \left (t \right ), y^{\prime }\left (t \right ) = -2 x \left (t \right )+3 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 5 x \left (t \right )+2 y \left (t \right ), y^{\prime }\left (t \right ) = -17 x \left (t \right )-5 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = -4 x \left (t \right )-y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )-2 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 4 x \left (t \right )-3 y \left (t \right ), y^{\prime }\left (t \right ) = 8 x \left (t \right )-6 y \left (t \right )]
\] |
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\[
{}[x^{\prime }\left (t \right ) = 4 x \left (t \right )-2 y \left (t \right ), y^{\prime }\left (t \right ) = 5 x \left (t \right )+2 y \left (t \right )]
\] |
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\[
{}x^{\prime \prime }+\left (5 x^{4}-9 x^{2}\right ) x^{\prime }+x^{5} = 0
\] |
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\[
{}x^{\prime } = 3 t^{2}+4 t
\] |
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\[
{}x^{\prime } = b \,{\mathrm e}^{t}
\] |
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\[
{}x^{\prime } = \frac {1}{t^{2}+1}
\] |
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\[
{}x^{\prime } = \frac {1}{\sqrt {t^{2}+1}}
\] |
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\[
{}x^{\prime } = \cos \left (t \right )
\] |
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\[
{}x^{\prime } = \frac {\cos \left (t \right )}{\sin \left (t \right )}
\] |
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\[
{}x^{\prime } = x^{2}-3 x+2
\] |
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\[
{}x^{\prime } = b \,{\mathrm e}^{x}
\] |
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\[
{}x^{\prime } = \left (x-1\right )^{2}
\] |
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\[
{}x^{\prime } = \sqrt {x^{2}-1}
\] |
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\[
{}x^{\prime } = 2 \sqrt {x}
\] |
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\[
{}x^{\prime } = \tan \left (x\right )
\] |
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\[
{}3 t^{2} x-t x+\left (3 t^{3} x^{2}+t^{3} x^{4}\right ) x^{\prime } = 0
\] |
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