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Mathematica |
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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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\[
{}y^{\prime \prime } = y^{2}+x
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+y^{2} = 0
\] |
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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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\[
{}x^{2} y^{\prime \prime } = 2 x y^{\prime }+{y^{\prime }}^{2}
\] |
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\[
{}2 y y^{\prime \prime } = 1+{y^{\prime }}^{2}
\] |
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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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\[
{}y y^{\prime \prime } = y^{\prime } y^{2}+{y^{\prime }}^{2}
\] |
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\[
{}y^{\prime \prime } = y^{\prime } {\mathrm e}^{y}
\] |
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\[
{}y^{\prime \prime } = 1+{y^{\prime }}^{2}
\] |
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\[
{}y^{\prime \prime }+{y^{\prime }}^{2} = 1
\] |
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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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\[
{}\left (x \,{\mathrm e}^{y}+y-x^{2}\right ) y^{\prime \prime } = 2 x y-{\mathrm e}^{y}-x
\] |
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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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\[
{}y^{\prime \prime }+{y^{\prime }}^{2} = 0
\] |
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\[
{}x^{\prime \prime }+\left (5 x^{4}-9 x^{2}\right ) x^{\prime }+x^{5} = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-\frac {x^{2} {y^{\prime }}^{2}}{2 y}+4 x y^{\prime }+4 y = 0
\] |
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\[
{}v^{\prime \prime } = \left (\frac {1}{v}+{v^{\prime }}^{4}\right )^{{1}/{3}}
\] |
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\[
{}\sqrt {y^{\prime }+y} = \left (y^{\prime \prime }+2 x \right )^{{1}/{4}}
\] |
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\[
{}y^{\prime \prime } = \frac {m \sqrt {1+{y^{\prime }}^{2}}}{k}
\] |
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\[
{}\phi ^{\prime \prime } = \frac {4 \pi n c}{\sqrt {v_{0}^{2}+\frac {2 e \left (\phi -V_{0} \right )}{m}}}
\] |
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\[
{}y^{\prime \prime } = c \left (1+{y^{\prime }}^{2}\right )
\] |
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\[
{}y^{\prime \prime } = c \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
\] |
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\[
{}1+{y^{\prime }}^{2}+\frac {m y^{\prime \prime }}{\sqrt {1+{y^{\prime }}^{2}}} = 0
\] |
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\[
{}y^{\prime \prime }-2 y y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }-{y^{\prime }}^{2}-y {y^{\prime }}^{3} = 0
\] |
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\[
{}\left (1+{y^{\prime }}^{2}\right )^{{3}/{2}} = r y^{\prime \prime }
\] |
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\[
{}\left (1+y^{2}\right ) y^{\prime \prime }-2 y {y^{\prime }}^{2}-2 \left (1+y^{2}\right ) y^{\prime } = y^{2} \left (1+y^{2}\right )
\] |
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\[
{}y^{\prime \prime } = \frac {1}{y^{2}}
\] |
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\[
{}y y^{\prime \prime }-{y^{\prime }}^{2} = 0
\] |
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\[
{}y y^{\prime \prime }-{y^{\prime }}^{2} = 1
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime \prime }-1-{y^{\prime }}^{2} = 0
\] |
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\[
{}y^{\prime \prime } y^{\prime }-x^{2} y y^{\prime } = x y^{2}
\] |
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\[
{}x^{2} y y^{\prime \prime }+\left (x y^{\prime }-y\right )^{2}-3 y^{2} = 0
\] |
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\[
{}y^{\prime \prime } = \frac {1}{\sqrt {a y}}
\] |
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\[
{}y^{\prime \prime }+\frac {a^{2}}{y^{2}} = 0
\] |
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\[
{}y^{\prime \prime }-\frac {a^{2}}{y^{2}} = 0
\] |
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\[
{}y^{\prime \prime } = \sqrt {1+{y^{\prime }}^{2}}
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = 0
\] |
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\[
{}y^{\prime \prime }-a {y^{\prime }}^{2} = 0
\] |
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\[
{}y y^{\prime \prime }+{y^{\prime }}^{2} = 1
\] |
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\[
{}y y^{\prime \prime }-{y^{\prime }}^{2} = y^{2} \ln \left (y\right )
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+4 {y^{\prime }}^{3} = 0
\] |
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\[
{}a^{2} y^{\prime \prime } y^{\prime } = x
\] |
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\[
{}a y^{\prime \prime } = \sqrt {1+{y^{\prime }}^{2}}
\] |
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\[
{}\left (y^{2}+2 x^{2} y^{\prime }\right ) y^{\prime \prime }+2 \left (x +y\right ) {y^{\prime }}^{2}+x y^{\prime }+y = 0
\] |
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\[
{}{y^{\prime }}^{2}-y y^{\prime \prime } = n \sqrt {{y^{\prime }}^{2}+a^{2} {y^{\prime \prime }}^{2}}
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+{y^{\prime }}^{3} = 0
\] |
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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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\[
{}y^{3} y^{\prime \prime } = a
\] |
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\[
{}y^{\prime \prime } = a^{2}+k^{2} {y^{\prime }}^{2}
\] |
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\[
{}a^{2} {y^{\prime \prime }}^{2} = 1+{y^{\prime }}^{2}
\] |
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\[
{}x^{2} y y^{\prime \prime }+\left (x y^{\prime }-y\right )^{2} = 0
\] |
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\[
{}y y^{\prime \prime }+{y^{\prime }}^{2}+1 = 0
\] |
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\[
{}x y y^{\prime \prime }+x {y^{\prime }}^{2}+y y^{\prime } = 0
\] |
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\[
{}y^{3} y^{\prime \prime } = a
\] |
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\[
{}y^{\prime \prime }+\frac {a^{2}}{y} = 0
\] |
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\[
{}y^{\prime \prime } = y^{3}-y
\] |
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\[
{}y^{\prime \prime } = {\mathrm e}^{2 y}
\] |
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\[
{}y^{\prime \prime } = \sqrt {1+{y^{\prime }}^{2}}
\] |
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\[
{}x y^{\prime \prime }+x {y^{\prime }}^{2}-y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }+y y^{\prime } = 0
\] |
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\[
{}y y^{\prime \prime }+{y^{\prime }}^{2} = 1
\] |
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\[
{}y y^{\prime \prime }-{y^{\prime }}^{2}+y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+4 {y^{\prime }}^{2} = 0
\] |
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\[
{}y^{\prime \prime } = a {y^{\prime }}^{2}
\] |
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\[
{}y y^{\prime \prime }+{y^{\prime }}^{2}+1 = 0
\] |
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\[
{}y y^{\prime \prime }+\sqrt {{y^{\prime }}^{2}+a^{2} {y^{\prime \prime }}^{2}} = {y^{\prime }}^{2}
\] |
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\[
{}a^{2} y^{\prime \prime } y^{\prime } = x
\] |
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\[
{}y^{\prime \prime } = 1+{y^{\prime }}^{2}
\] |
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\[
{}a y^{\prime \prime } = \sqrt {1+{y^{\prime }}^{2}}
\] |
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\[
{}y^{\prime \prime } = a^{2}+k^{2} {y^{\prime }}^{2}
\] |
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\[
{}a^{2} {y^{\prime \prime }}^{2} = 1+{y^{\prime }}^{2}
\] |
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\[
{}y^{\prime \prime }+{y^{\prime }}^{2}+1 = 0
\] |
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\[
{}y^{\prime } = x y^{\prime \prime }+\sqrt {1+{y^{\prime }}^{2}}
\] |
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\[
{}x y y^{\prime \prime }+x {y^{\prime }}^{2} = 3 y y^{\prime }
\] |
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\[
{}2 x^{2} y y^{\prime \prime }+y^{2} = x^{2} {y^{\prime }}^{2}
\] |
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\[
{}x^{2} y^{\prime \prime } = \sqrt {m \,x^{2} {y^{\prime }}^{3}+y^{2} n}
\] |
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\[
{}x^{4} y^{\prime \prime } = \left (x^{3}+2 x y\right ) y^{\prime }-4 y^{2}
\] |
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\[
{}x^{4} y^{\prime \prime }-x^{3} y^{\prime } = x^{2} {y^{\prime }}^{2}-4 y^{2}
\] |
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\[
{}x^{2} y^{\prime \prime }+4 y^{2}-6 y = x^{4} {y^{\prime }}^{2}
\] |
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\[
{}y^{\prime \prime } = {\mathrm e}^{y}
\] |
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\[
{}y^{\prime \prime } = \frac {1}{\sqrt {a y}}
\] |
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\[
{}-a y^{\prime \prime } = \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
\] |
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\[
{}\sin \left (y\right )^{3} y^{\prime \prime } = \cos \left (y\right )
\] |
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\[
{}y y^{\prime \prime }+\sqrt {{y^{\prime }}^{2}+a^{2} {y^{\prime \prime }}^{2}} = {y^{\prime }}^{2}
\] |
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\[
{}x^{2} y y^{\prime \prime }+\left (x y^{\prime }-y\right )^{2} = 0
\] |
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\[
{}2 x^{2} y y^{\prime \prime }+4 y^{2} = x^{2} {y^{\prime }}^{2}+2 x y y^{\prime }
\] |
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\[
{}2 x^{2} \cos \left (y\right ) y^{\prime \prime }-2 x^{2} \sin \left (y\right ) {y^{\prime }}^{2}+x \cos \left (y\right ) y^{\prime }-\sin \left (y\right ) = \ln \left (x \right )
\] |
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\[
{}x^{2} y y^{\prime \prime }+\left (x y^{\prime }-y\right )^{2}-3 y^{2} = 0
\] |
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\[
{}y+3 x y^{\prime }+2 y {y^{\prime }}^{2}+\left (x^{2}+2 y^{\prime } y^{2}\right ) y^{\prime \prime } = 0
\] |
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\[
{}\left (y^{2}+2 x^{2} y^{\prime }\right ) y^{\prime \prime }+2 \left (x +y\right ) {y^{\prime }}^{2}+x y^{\prime }+y = 0
\] |
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