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Mathematica |
Maple |
Sympy |
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\[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+5 y = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+20 y = 0
\]
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\[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
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\[
{} \left (y+1\right ) y^{\prime \prime } = 3 {y^{\prime }}^{2}
\]
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\[
{} r^{\prime \prime } = -\frac {k}{r^{2}}
\]
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\[
{} y^{\prime \prime } = \frac {3 k y^{2}}{2}
\]
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\[
{} y^{\prime \prime } = 2 k y^{3}
\]
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\[
{} y y^{\prime \prime }+{y^{\prime }}^{2}-y^{\prime } = 0
\]
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\[
{} r^{\prime \prime } = \frac {h^{2}}{r^{3}}-\frac {k}{r^{2}}
\]
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\[
{} y y^{\prime \prime }+{y^{\prime }}^{3}-{y^{\prime }}^{2} = 0
\]
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\[
{} y y^{\prime \prime }-3 {y^{\prime }}^{2} = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+2 x \left (y^{\prime }+1\right ) = 0
\]
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\[
{} \left (y+1\right ) y^{\prime \prime } = 3 {y^{\prime }}^{2}
\]
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\[
{} y^{\prime \prime } = y^{\prime } {\mathrm e}^{y}
\]
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\[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
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\[
{} 2 y^{\prime \prime } = {\mathrm e}^{y}
\]
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\[
{} x y y^{\prime \prime }-2 x {y^{\prime }}^{2}+y y^{\prime } = 0
\]
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\[
{} x y y^{\prime \prime }+x {y^{\prime }}^{2}-y y^{\prime } = 0
\]
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\[
{} x y y^{\prime \prime }-2 x {y^{\prime }}^{2}+\left (y+1\right ) y^{\prime } = 0
\]
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\[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} \left (1+{y^{\prime }}^{2}\right )^{3} = a^{2} {y^{\prime \prime }}^{2}
\]
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\[
{} u^{\prime \prime }-\frac {a^{2} u}{x^{{2}/{3}}} = 0
\]
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\[
{} u^{\prime \prime }-\frac {2 u^{\prime }}{x}-a^{2} u = 0
\]
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\[
{} u^{\prime \prime }+\frac {2 u^{\prime }}{x}-a^{2} u = 0
\]
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\[
{} u^{\prime \prime }+\frac {2 u^{\prime }}{x}+a^{2} u = 0
\]
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\[
{} u^{\prime \prime }+\frac {4 u^{\prime }}{x}-a^{2} u = 0
\]
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\[
{} u^{\prime \prime }+\frac {4 u^{\prime }}{x}+a^{2} u = 0
\]
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\[
{} y^{\prime \prime }-a^{2} y = \frac {6 y}{x^{2}}
\]
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\[
{} y^{\prime \prime }+n^{2} y = \frac {6 y}{x^{2}}
\]
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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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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\frac {\left (-9 a^{2}+4 x^{2}\right ) y}{4 a^{2}} = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {25}{4}\right ) y = 0
\]
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\[
{} y^{\prime \prime }+q y^{\prime } = \frac {2 y}{x^{2}}
\]
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\[
{} y^{\prime \prime }+{\mathrm e}^{2 x} y = n^{2} y
\]
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\[
{} y^{\prime \prime }+\frac {y}{4 x} = 0
\]
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\[
{} x y^{\prime \prime }+y^{\prime }+y = 0
\]
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\[
{} x y^{\prime \prime }+3 y^{\prime }+4 x^{3} y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }-2 y = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }+9 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+6 y = 0
\]
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\[
{} y^{\prime \prime }+16 y = 0
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 0
\]
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\[
{} y^{\prime \prime }+5 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+13 y = 0
\]
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\[
{} 2 y^{\prime \prime }+y^{\prime }-y = 0
\]
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\[
{} y^{\prime \prime }+\left (1+2 i\right ) y^{\prime }+\left (-1+i\right ) y = 0
\]
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\[
{} y^{\prime \prime }+\left (1+2 i\right ) y^{\prime }+\left (-1+i\right ) y = 0
\]
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\[
{} y^{\prime \prime }+y y^{\prime } = 0
\]
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\[
{} y^{\prime \prime }+y y^{\prime } = 0
\]
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\[
{} y^{\prime \prime }+y y^{\prime } = 0
\]
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\[
{} y^{\prime \prime }+y y^{\prime } = 0
\]
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\[
{} y^{\prime \prime }+2 x y^{\prime } = 0
\]
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\[
{} 2 y y^{\prime \prime } = {y^{\prime }}^{2}
\]
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\[
{} x y^{\prime \prime } = {y^{\prime }}^{3}+y^{\prime }
\]
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\[
{} {y^{\prime \prime }}^{2} = k^{2} \left (1+{y^{\prime }}^{2}\right )
\]
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\[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }-3 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+7 x y^{\prime }+9 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+6 y = 0
\]
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\[
{} x^{2} \left (2-x \right ) y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} x y^{\prime \prime }-2 \left (1+x \right ) y^{\prime }+\left (x +2\right ) y = 0
\]
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\[
{} 3 x y^{\prime \prime }-2 \left (3 x -1\right ) y^{\prime }+\left (3 x -2\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+\left (1+x \right ) y^{\prime }-y = 0
\]
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\[
{} x \left (1+x \right ) y^{\prime \prime }-\left (x -1\right ) y^{\prime }+y = 0
\]
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\[
{} r^{\prime \prime }-6 r^{\prime }+9 r = 0
\]
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\[
{} x \left (y y^{\prime \prime }+{y^{\prime }}^{2}\right ) = y y^{\prime }
\]
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\[
{} y^{\prime \prime } = -4 y
\]
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\[
{} y^{\prime \prime } = y
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+3 y = 0
\]
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\[
{} \left (x^{2}+2 x \right ) y^{\prime \prime }-2 \left (1+x \right ) y^{\prime }+2 y = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-2\right ) y = 0
\]
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\[
{} x^{\prime \prime }-\omega ^{2} x = 0
\]
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\[
{} x^{\prime \prime }+42 x^{\prime }+x = 0
\]
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\[
{} x \left (1+x \right )^{2} y^{\prime \prime }+\left (-x^{2}+1\right ) y^{\prime }+\left (x -1\right ) y = 0
\]
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\[
{} x \left (1-x \right ) y^{\prime \prime }+2 \left (1-2 x \right ) y^{\prime }-2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-9 y = 0
\]
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\[
{} x y^{\prime \prime }+\frac {y^{\prime }}{2}+2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} 2 x y^{\prime \prime }-y^{\prime }+2 y = 0
\]
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\[
{} x y^{\prime \prime }+x y^{\prime }-2 y = 0
\]
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\[
{} x \left (x -1\right )^{2} y^{\prime \prime }-2 y = 0
\]
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\[
{} x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+m y = 0
\]
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\[
{} \frac {x^{\prime \prime }}{2} = -48 x
\]
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\[
{} y^{\prime \prime }-y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y = 0
\]
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\[
{} x^{\prime \prime }+4 x^{\prime }+4 x = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = 0
\]
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\[
{} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }-y = 0
\]
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\[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\]
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\[
{} x y^{\prime \prime }-y^{\prime }+4 x^{3} y = 0
\]
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\[
{} y y^{\prime \prime }+{y^{\prime }}^{3} = 0
\]
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