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Mathematica |
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\[
{}x^{2} y^{\prime \prime }+{y^{\prime }}^{2} = 0
\] |
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\[
{}y^{\prime \prime } = 1+{y^{\prime }}^{2}
\] |
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\[
{}y^{\prime \prime } = \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
\] |
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\[
{}y y^{\prime \prime } = {y^{\prime }}^{2} \left (1-y^{\prime } \sin \left (y\right )-y y^{\prime } \cos \left (y\right )\right )
\] |
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\[
{}\left (1+y^{2}\right ) y^{\prime \prime }+{y^{\prime }}^{3}+y^{\prime } = 0
\] |
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\[
{}\left (y y^{\prime \prime }+1+{y^{\prime }}^{2}\right )^{2} = \left (1+{y^{\prime }}^{2}\right )^{3}
\] |
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\[
{}x^{2} y^{\prime \prime } = y^{\prime } \left (2 x -y^{\prime }\right )
\] |
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\[
{}x^{2} y^{\prime \prime } = y^{\prime } \left (3 x -2 y^{\prime }\right )
\] |
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\[
{}x y^{\prime \prime } = y^{\prime } \left (2-3 x y^{\prime }\right )
\] |
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\[
{}x^{4} y^{\prime \prime } = y^{\prime } \left (y^{\prime }+x^{3}\right )
\] |
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\[
{}y^{\prime \prime } = 2 x +\left (x^{2}-y^{\prime }\right )^{2}
\] |
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\[
{}{y^{\prime \prime }}^{2}-2 y^{\prime \prime }+{y^{\prime }}^{2}-2 x y^{\prime }+x^{2} = 0
\] |
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\[
{}{y^{\prime \prime }}^{2}-x y^{\prime \prime }+y^{\prime } = 0
\] |
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\[
{}{y^{\prime \prime }}^{3} = 12 y^{\prime } \left (x y^{\prime \prime }-2 y^{\prime }\right )
\] |
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\[
{}3 y y^{\prime } y^{\prime \prime } = {y^{\prime }}^{3}-1
\] |
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\[
{}4 y {y^{\prime }}^{2} y^{\prime \prime } = {y^{\prime }}^{4}+3
\] |
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\[
{}y^{\prime \prime }+y = -\cos \left (x \right )
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+9 y = {\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = 12 x^{2}
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = x^{2}+2 x +1
\] |
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\[
{}2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }-3 x y^{\prime }+2 y = 0
\] |
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\[
{}9 x^{2} y^{\prime \prime }+2 y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }+5 x y^{\prime }-2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }-9 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+5 x y^{\prime }+5 y = 0
\] |
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\[
{}x y^{\prime \prime }+y^{\prime }-x y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-2 y = 5 \,{\mathrm e}^{2 x}
\] |
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\[
{}y^{\prime \prime }+16 y = 4 \cos \left (x \right )
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+3 y = 9 x^{2}+4
\] |
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\[
{}y^{\prime \prime }+y = \tan \left (x \right )^{2}
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+y = 0
\] |
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\[
{}5 y^{\prime \prime }+2 y^{\prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+4 y = 1
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+4 y = \sin \left (x \right )
\] |
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\[
{}t y^{\prime \prime }+4 y^{\prime } = t^{2}
\] |
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\[
{}\left (t^{2}+9\right ) y^{\prime \prime }+2 t y^{\prime } = 0
\] |
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\[
{}t^{2} y^{\prime \prime }-3 t y^{\prime }+5 y = 0
\] |
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\[
{}t y^{\prime \prime }+y^{\prime } = 0
\] |
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\[
{}t^{2} y^{\prime \prime }-2 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }+\frac {\left (t^{2}-1\right ) y^{\prime }}{t}+\frac {t^{2} y}{\left (1+{\mathrm e}^{\frac {t^{2}}{2}}\right )^{2}} = 0
\] |
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\[
{}t y^{\prime \prime }-y^{\prime }+4 t^{3} y = 0
\] |
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\[
{}y^{\prime \prime } = 0
\] |
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\[
{}y^{\prime \prime } = 1
\] |
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\[
{}y^{\prime \prime } = f \left (t \right )
\] |
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\[
{}y^{\prime \prime } = k
\] |
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\[
{}y^{\prime \prime } = 4 \sin \left (x \right )-4
\] |
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\[
{}y y^{\prime \prime } = 0
\] |
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\[
{}y y^{\prime \prime } = 1
\] |
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\[
{}y y^{\prime \prime } = x
\] |
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\[
{}y^{2} y^{\prime \prime } = x
\] |
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\[
{}y^{2} y^{\prime \prime } = 0
\] |
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\[
{}3 y y^{\prime \prime } = \sin \left (x \right )
\] |
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\[
{}3 y y^{\prime \prime }+y = 5
\] |
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\[
{}a y y^{\prime \prime }+b y = c
\] |
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\[
{}a y^{2} y^{\prime \prime }+b y^{2} = c
\] |
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\[
{}a y y^{\prime \prime }+b y = 0
\] |
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\[
{}z^{\prime \prime }+3 z^{\prime }+2 z = 24 \,{\mathrm e}^{-3 t}-24 \,{\mathrm e}^{-4 t}
\] |
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\[
{}y^{\prime \prime } = \frac {1}{y}-\frac {x y^{\prime }}{y^{2}}
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-y y^{\prime } = 2 x
\] |
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\[
{}y^{\prime \prime }-x y^{\prime }-x y-x = 0
\] |
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\[
{}y^{\prime \prime }-x y^{\prime }-x y-2 x = 0
\] |
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\[
{}y^{\prime \prime }-x y^{\prime }-x y-3 x = 0
\] |
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\[
{}y^{\prime \prime }-x y^{\prime }-x y-x^{2}-x = 0
\] |
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\[
{}y^{\prime \prime }-x y^{\prime }-x y-x^{3}+2 = 0
\] |
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\[
{}y^{\prime \prime }-x y^{\prime }-x y-x^{4}-6 = 0
\] |
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\[
{}y^{\prime \prime }-x y^{\prime }-x y-x^{5}+24 = 0
\] |
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\[
{}y^{\prime \prime }-x y^{\prime }-x y-x = 0
\] |
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\[
{}y^{\prime \prime }-x y^{\prime }-x y-x^{2} = 0
\] |
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\[
{}y^{\prime \prime }-x y^{\prime }-x y-x^{3} = 0
\] |
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\[
{}y^{\prime \prime }-a x y^{\prime }-b x y-c x = 0
\] |
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\[
{}y^{\prime \prime }-a x y^{\prime }-b x y-c \,x^{2} = 0
\] |
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\[
{}y^{\prime \prime }-a x y^{\prime }-b x y-c \,x^{3} = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-x y-x = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-x y-x^{2} = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-x y-x^{2}-1 = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-x y-x^{2}-1 = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }-x y-x^{2}-2 = 0
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }-x y-x^{2}-4 = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-x y-x^{3}+1 = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }-x y-x^{3}-x^{2} = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-x y-x^{3}+2 = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }-x y-x^{3}+2 = 0
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }-x y-x^{3}+2 = 0
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }-x y-x^{3}+2 = 0
\] |
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\[
{}y^{\prime \prime }-8 y^{\prime }-x y-x^{3}+2 = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-x y-x^{4}+3 = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-x y-x^{3} = 0
\] |
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\[
{}y^{\prime \prime }-x y-x^{3}+2 = 0
\] |
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\[
{}y^{\prime \prime }-x y-x^{6}+64 = 0
\] |
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\[
{}y^{\prime \prime }-x y-x = 0
\] |
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\[
{}y^{\prime \prime }-x y-x^{2} = 0
\] |
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\[
{}y^{\prime \prime }-x y-x^{3} = 0
\] |
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