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Mathematica |
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\[
{} y^{\prime \prime }+2 y^{\prime }+\frac {5 y}{4} = 0
\]
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\[
{} y^{\prime \prime }-9 y^{\prime }+9 y = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }-2 y = 0
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
\]
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\[
{} 9 y^{\prime \prime }-24 y^{\prime }+16 y = 0
\]
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\[
{} 4 y^{\prime \prime }+9 y = 0
\]
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\[
{} 4 y^{\prime \prime }+9 y^{\prime }-9 y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }+\frac {5 y}{4} = 0
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+\frac {25 y}{4} = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }-2 y = 0
\]
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\[
{} y^{\prime \prime }+16 y = 0
\]
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\[
{} 9 y^{\prime \prime }-12 y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+5 y = 0
\]
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\[
{} 6 y^{\prime \prime }-5 y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+5 y = 0
\]
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\[
{} y^{\prime \prime }+3 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }+6 y^{\prime }+3 y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }+\frac {5 y}{4} = 0
\]
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\[
{} 2 y^{\prime \prime }+y^{\prime }-4 y = 0
\]
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\[
{} y^{\prime \prime }+8 y^{\prime }-9 y = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 0
\]
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\[
{} 4 y^{\prime \prime }-y = 0
\]
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\[
{} a \,x^{2} y^{\prime \prime }+b x y^{\prime }+c y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+4 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+\frac {5 y}{4} = 0
\]
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\[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }-6 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }+4 y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+x y^{\prime }-3 y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }+8 x y^{\prime }+17 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+5 y = 0
\]
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\[
{} y^{\prime \prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }+\frac {y^{\prime }}{4}+2 y = 0
\]
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\[
{} m y^{\prime \prime }+k y = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }-2 y = 0
\]
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\[
{} 9 y^{\prime \prime }+12 y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
\]
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\[
{} 6 y^{\prime \prime }+5 y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }-12 y = 0
\]
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\[
{} y^{\prime \prime }-8 y^{\prime }+25 y = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime } = \frac {1}{\sqrt {y}}
\]
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\[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = y^{2} \ln \left (y\right )
\]
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\[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = 0
\]
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\[
{} x y y^{\prime \prime }+x {y^{\prime }}^{2}-y y^{\prime } = 0
\]
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\[
{} n \,x^{3} y^{\prime \prime } = \left (y-x y^{\prime }\right )^{2}
\]
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\[
{} y^{\prime } y^{\prime \prime }-x^{2} y y^{\prime }-x y^{2} = 0
\]
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\[
{} y y^{\prime \prime }-{y^{\prime }}^{2}-{y^{\prime }}^{4} = 0
\]
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\[
{} a^{2} y^{\prime \prime } = 2 x \sqrt {1+{y^{\prime }}^{2}}
\]
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\[
{} x^{2} y y^{\prime \prime }+x^{2} {y^{\prime }}^{2}-5 x y y^{\prime } = 4 y^{2}
\]
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\[
{} y \left (1-\ln \left (y\right )\right ) y^{\prime \prime }+\left (1+\ln \left (y\right )\right ) {y^{\prime }}^{2} = 0
\]
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\[
{} {y^{\prime \prime }}^{2}+2 x y^{\prime \prime }-y^{\prime } = 0
\]
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\[
{} {y^{\prime \prime }}^{2}-2 x y^{\prime \prime }-y^{\prime } = 0
\]
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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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\[
{} y^{\prime \prime }+\frac {2 y^{\prime }}{x}+y = 0
\]
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\[
{} \sin \left (x \right )^{2} y^{\prime \prime } = 2 y
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }+p_{1} y^{\prime }+p_{2} y = 0
\]
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\[
{} \left (2 x +1\right ) y^{\prime \prime }+\left (4 x -2\right ) y^{\prime }-8 y = 0
\]
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\[
{} \sin \left (x \right )^{2} y^{\prime \prime }+\cos \left (x \right ) \sin \left (x \right ) y^{\prime } = y
\]
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\[
{} 2 y^{\prime \prime }+y^{\prime }-y = 0
\]
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\[
{} y^{\prime \prime }+\frac {2 y^{\prime }}{x}-\frac {n \left (n +1\right ) y}{x^{2}} = 0
\]
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\[
{} y^{\prime \prime }-\frac {y^{\prime }}{x}+\left (1-\frac {m^{2}}{x^{2}}\right ) y = 0
\]
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\[
{} y^{\prime \prime }+\frac {2 y^{\prime }}{x}+y = 0
\]
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\[
{} y^{\prime \prime }+\frac {2 p y^{\prime }}{x}+y = 0
\]
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\[
{} x y^{\prime \prime }-y^{\prime }-x^{3} y = 0
\]
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\[
{} y^{\prime \prime }-\frac {y^{\prime }}{\sqrt {x}}+\frac {y \left (-8+\sqrt {x}+x \right )}{4 x^{2}} = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+y^{2} = 0
\]
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\[
{} y^{\prime \prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }-4 y = 0
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 0
\]
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\[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 0
\]
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\[
{} x y^{\prime \prime } = y^{\prime }+{y^{\prime }}^{3}
\]
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\[
{} y^{\prime \prime }-k y = 0
\]
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\[
{} x^{2} y^{\prime \prime } = 2 x y^{\prime }+{y^{\prime }}^{2}
\]
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\[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = 0
\]
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\[
{} \left (x^{2}+2 y^{\prime }\right ) y^{\prime \prime }+2 x y^{\prime } = 0
\]
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\[
{} y y^{\prime \prime } = y^{2} y^{\prime }+{y^{\prime }}^{2}
\]
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\[
{} y^{\prime \prime } = y^{\prime } {\mathrm e}^{y}
\]
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\[
{} y y^{\prime \prime } = {y^{\prime }}^{2}
\]
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\[
{} y y^{\prime \prime }+{y^{\prime }}^{2}-2 y y^{\prime } = 0
\]
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\[
{} y^{\prime \prime }+2 x {y^{\prime }}^{2} = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+x y^{\prime } = 0
\]
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\[
{} x^{2} y^{\prime \prime } = y^{\prime } \left (3 x -2 y^{\prime }\right )
\]
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\[
{} y^{2} y^{\prime \prime }+{y^{\prime }}^{3} = 0
\]
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\[
{} x^{2} y^{\prime \prime }+{y^{\prime }}^{2} = 0
\]
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\[
{} y^{\prime \prime } = 2 y {y^{\prime }}^{3}
\]
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\[
{} x y^{\prime \prime }+y^{\prime } = 0
\]
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\[
{} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }-5 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (x^{2}+6\right ) y = 0
\]
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