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Mathematica |
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\[
{} {y^{\prime }}^{2}+y y^{\prime \prime } = 0
\]
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\[
{} y^{\prime \prime } = {y^{\prime }}^{2}
\]
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\[
{} {y^{\prime }}^{2}+y y^{\prime \prime } = y y^{\prime }
\]
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\[
{} y^{\prime \prime } = \left (x +y^{\prime }\right )^{2}
\]
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\[
{} y^{\prime \prime } = 2 y {y^{\prime }}^{3}
\]
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\[
{} y^{3} y^{\prime \prime } = 1
\]
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\[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
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\[
{} y y^{\prime \prime } = 3 {y^{\prime }}^{2}
\]
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\[
{} r y^{\prime \prime } = \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
\]
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\[
{} y y^{\prime \prime } = 6 x^{4}
\]
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\[
{} {y^{\prime }}^{2}+y y^{\prime \prime } = 0
\]
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\[
{} u^{\prime \prime }+u^{\prime }+\frac {u^{3}}{5} = \cos \left (t \right )
\]
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\[
{} z^{\prime \prime }+z^{3} = 0
\]
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\[
{} z^{\prime \prime }+z+z^{5} = 0
\]
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\[
{} z^{\prime \prime }+{\mathrm e}^{z^{2}} = 1
\]
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\[
{} z^{\prime \prime }+\frac {z}{1+z^{2}} = 0
\]
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\[
{} z^{\prime \prime }+z-2 z^{3} = 0
\]
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\[
{} y^{3} y^{\prime \prime }+4 = 0
\]
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\[
{} x^{\prime \prime } = \frac {k^{2}}{x^{2}}
\]
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\[
{} y^{\prime \prime } = {y^{\prime }}^{3}+y^{\prime }
\]
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\[
{} y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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\[
{} y^{\prime \prime } = \sqrt {1+{y^{\prime }}^{2}}
\]
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\[
{} y^{\prime \prime } = {y^{\prime }}^{2}+y^{\prime }
\]
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\[
{} y^{\prime \prime } = y y^{\prime }
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = 0
\]
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\[
{} y^{\prime \prime }+y y^{\prime } = 0
\]
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\[
{} y^{\prime \prime }+2 {y^{\prime }}^{2} = 0
\]
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\[
{} {y^{\prime }}^{2}+y y^{\prime \prime } = 0
\]
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\[
{} y y^{\prime \prime }+1 = {y^{\prime }}^{2}
\]
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\[
{} {y^{\prime }}^{2}+y y^{\prime \prime } = y y^{\prime }
\]
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\[
{} 2 y y^{\prime \prime }-{y^{\prime }}^{2} = 0
\]
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\[
{} y^{\prime \prime }+2 {y^{\prime }}^{2} = 2
\]
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\[
{} y^{\prime \prime }+y^{\prime } = {y^{\prime }}^{3}
\]
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\[
{} \left (y+1\right ) y^{\prime \prime } = 3 {y^{\prime }}^{2}
\]
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\[
{} 2 y^{\prime \prime } = {\mathrm e}^{y}
\]
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\[
{} y^{\prime \prime } = y^{3}
\]
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\[
{} y^{\prime \prime } = {y^{\prime }}^{2} \cos \left (x \right )
\]
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\[
{} y y^{\prime \prime }-y^{2} y^{\prime } = {y^{\prime }}^{2}
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = 0
\]
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\[
{} y y^{\prime \prime } = y^{3}+{y^{\prime }}^{2}
\]
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\[
{} \left (1+{y^{\prime }}^{2}\right )^{2} = y^{2} y^{\prime \prime }
\]
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\[
{} y^{\prime \prime } = {y^{\prime }}^{2} \sin \left (x \right )
\]
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\[
{} 2 y y^{\prime \prime } = y^{3}+2 {y^{\prime }}^{2}
\]
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\[
{} y y^{\prime \prime } = 2 {y^{\prime }}^{2}+y^{2}
\]
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\[
{} y^{\prime \prime }+{y^{\prime }}^{2}+y^{\prime } = 0
\]
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\[
{} -\frac {{y^{\prime }}^{2}}{y^{2}}+\frac {y^{\prime \prime }}{y}+\frac {2 a \coth \left (2 a x \right ) y^{\prime }}{y} = 2 a^{2}
\]
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\[
{} y y^{\prime \prime }-y y^{\prime } = {y^{\prime }}^{2}
\]
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\[
{} y y^{\prime \prime }-y^{2} y^{\prime }-{y^{\prime }}^{2} = 0
\]
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\[
{} \left (1+y^{2}\right ) y^{\prime \prime }+{y^{\prime }}^{3}+y^{\prime } = 0
\]
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\[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
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\[
{} y^{3} y^{\prime \prime } = k
\]
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\[
{} y y^{\prime \prime } = {y^{\prime }}^{2}-1
\]
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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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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = 0
\]
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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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\[
{} \left (1+{y^{\prime }}^{2}\right )^{3} = a^{2} {y^{\prime \prime }}^{2}
\]
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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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\[
{} 2 y y^{\prime \prime } = {y^{\prime }}^{2}
\]
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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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\[
{} k = \frac {y^{\prime \prime }}{\left (1+y^{\prime }\right )^{{3}/{2}}}
\]
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\[
{} x \left ({y^{\prime }}^{2}+y y^{\prime \prime }\right ) = y y^{\prime }
\]
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\[
{} y y^{\prime \prime }+{y^{\prime }}^{2}+4 = 0
\]
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\[
{} y^{\prime \prime }+{y^{\prime }}^{2}+1 = 0
\]
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\[
{} {y^{\prime }}^{2}+y y^{\prime \prime } = 2
\]
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\[
{} y y^{\prime \prime }+{y^{\prime }}^{3} = 0
\]
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\[
{} y^{\prime \prime }+{y^{\prime }}^{2}+1 = 0
\]
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\[
{} y y^{\prime \prime }+{y^{\prime }}^{3} = 0
\]
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\[
{} {y^{\prime }}^{2}+y y^{\prime \prime } = 0
\]
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\[
{} y y^{\prime \prime } = {y^{\prime }}^{2} \left (1-y^{\prime } \cos \left (y\right )+y y^{\prime } \sin \left (y\right )\right )
\]
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\[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = y^{2} \ln \left (y\right )
\]
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\[
{} \left (x +2 y\right ) y^{\prime \prime }+2 {y^{\prime }}^{2}+2 y^{\prime } = 2
\]
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\[
{} 2 \left (y+1\right ) y^{\prime \prime }+2 {y^{\prime }}^{2}+y^{2}+2 y = 0
\]
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\[
{} u^{\prime \prime }+u^{\prime }+u = \cos \left (r +u\right )
\]
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\[
{} y^{\prime \prime } = \sqrt {1+{y^{\prime }}^{2}}
\]
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\[
{} R^{\prime \prime } = -\frac {k}{R^{2}}
\]
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\[
{} x^{\prime \prime }-\left (1-\frac {{x^{\prime }}^{2}}{3}\right ) x^{\prime }+x = 0
\]
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\[
{} 2 y^{\prime \prime }-3 y^{2} = 0
\]
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\[
{} y^{\prime \prime } = 2 y {y^{\prime }}^{3}
\]
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\[
{} x^{2} y y^{\prime \prime } = x^{2} {y^{\prime }}^{2}-y^{2}
\]
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\[
{} x x^{\prime \prime }-{x^{\prime }}^{2} = 0
\]
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\[
{} y y^{\prime \prime }-y^{2} y^{\prime }-{y^{\prime }}^{2} = 0
\]
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\[
{} y y^{\prime \prime }+4 {y^{\prime }}^{2} = 0
\]
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\[
{} y^{\prime \prime } = y y^{\prime }
\]
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