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Mathematica |
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\[
{}2 a y^{\prime \prime }+{y^{\prime }}^{3} = 0
\] |
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\[
{}y^{\prime \prime } = 2 {y^{\prime }}^{3} y
\] |
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\[
{}y^{\prime \prime } y+{y^{\prime }}^{3}-{y^{\prime }}^{2} = 0
\] |
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\[
{}y^{\prime \prime } y+{y^{\prime }}^{3} = 0
\] |
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\[
{}y^{\prime \prime } = x {y^{\prime }}^{2}
\] |
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\[
{}y^{\prime \prime } = x {y^{\prime }}^{2}
\] |
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\[
{}y^{\prime \prime } = -{\mathrm e}^{-2 y}
\] |
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\[
{}y^{\prime \prime } = -{\mathrm e}^{-2 y}
\] |
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\[
{}2 y^{\prime \prime } = \sin \left (2 y\right )
\] |
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\[
{}2 y^{\prime \prime } = \sin \left (2 y\right )
\] |
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\[
{}y^{\prime \prime } = {y^{\prime }}^{2}
\] |
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\[
{}y^{\prime \prime } = {\mathrm e}^{x} {y^{\prime }}^{2}
\] |
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\[
{}2 y^{\prime \prime } = {y^{\prime }}^{3} \sin \left (2 x \right )
\] |
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\[
{}x^{2} y^{\prime \prime }+{y^{\prime }}^{2} = 0
\] |
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\[
{}y^{\prime \prime } = \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
\] |
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\[
{}y^{\prime \prime } y = {y^{\prime }}^{2} \left (1-y^{\prime } \sin \left (y\right )-y y^{\prime } \cos \left (y\right )\right )
\] |
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\[
{}\left (1+y^{2}\right ) y^{\prime \prime }+{y^{\prime }}^{3}+y^{\prime } = 0
\] |
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\[
{}\left (y^{\prime \prime } y+1+{y^{\prime }}^{2}\right )^{2} = \left (1+{y^{\prime }}^{2}\right )^{3}
\] |
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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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\[
{}{y^{\prime \prime }}^{2}-x y^{\prime \prime }+y^{\prime } = 0
\] |
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\[
{}{y^{\prime \prime }}^{3} = 12 y^{\prime } \left (x y^{\prime \prime }-2 y^{\prime }\right )
\] |
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\[
{}y^{\prime \prime } = \frac {1}{y}-\frac {x y^{\prime }}{y^{2}}
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime \prime }+1+x {y^{\prime }}^{2} = 1
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime \prime }+y {y^{\prime }}^{2} = 0
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime \prime }+{y^{\prime }}^{2} = 0
\] |
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\[
{}y^{\prime \prime }+{y^{\prime }}^{2} \sin \left (y\right ) = 0
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime \prime }+{y^{\prime }}^{3} = 0
\] |
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\[
{}y^{\prime \prime } = A y^{{2}/{3}}
\] |
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\[
{}y^{\prime \prime }+{\mathrm e}^{y} = 0
\] |
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\[
{}{y^{\prime \prime }}^{2}+y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }+{y^{\prime }}^{2} = 0
\] |
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\[
{}{y^{\prime \prime }}^{2}+y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+{y^{\prime }}^{2}+y = 0
\] |
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\[
{}y {y^{\prime \prime }}^{2}+y^{\prime } = 0
\] |
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\[
{}y {y^{\prime \prime }}^{2}+{y^{\prime }}^{3} = 0
\] |
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\[
{}y^{2} {y^{\prime \prime }}^{2}+y^{\prime } = 0
\] |
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\[
{}y {y^{\prime \prime }}^{4}+{y^{\prime }}^{2} = 0
\] |
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\[
{}y^{3} {y^{\prime \prime }}^{2}+y y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime } y+{y^{\prime }}^{3} = 0
\] |
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\[
{}y {y^{\prime \prime }}^{3}+y^{3} y^{\prime } = 0
\] |
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\[
{}y {y^{\prime \prime }}^{3}+y^{3} {y^{\prime }}^{5} = 0
\] |
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\[
{}y^{\prime \prime }+x y^{\prime }+y {y^{\prime }}^{2} = 0
\] |
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\[
{}y^{\prime \prime }+\sin \left (x \right ) y^{\prime }+y {y^{\prime }}^{2} = 0
\] |
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\[
{}y^{\prime \prime }+\left (1-x \right ) y^{\prime }+y^{2} {y^{\prime }}^{2} = 0
\] |
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\[
{}y^{\prime \prime }+\left (\sin \left (x \right )+2 x \right ) y^{\prime }+\cos \left (y\right ) y {y^{\prime }}^{2} = 0
\] |
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\[
{}y^{\prime } y^{\prime \prime }+y^{2} = 0
\] |
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\[
{}y^{\prime } y^{\prime \prime }+y^{n} = 0
\] |
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\[
{}y^{\prime \prime }+\left (x +3\right ) y^{\prime }+\left (y^{2}+3\right ) {y^{\prime }}^{2} = 0
\] |
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\[
{}y^{\prime \prime }+x y^{\prime }+y {y^{\prime }}^{2} = 0
\] |
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\[
{}y^{\prime \prime }+\sin \left (x \right ) y^{\prime }+{y^{\prime }}^{2} = 0
\] |
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\[
{}3 y^{\prime \prime }+\cos \left (x \right ) y^{\prime }+{y^{\prime }}^{2} \sin \left (y\right ) = 0
\] |
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\[
{}10 y^{\prime \prime }+x^{2} y^{\prime }+\frac {3 {y^{\prime }}^{2}}{y} = 0
\] |
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\[
{}10 y^{\prime \prime }+\left ({\mathrm e}^{x}+3 x \right ) y^{\prime }+\frac {3 \,{\mathrm e}^{y} {y^{\prime }}^{2}}{\sin \left (y\right )} = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+\left (x y^{\prime }-y\right )^{2} = 0
\] |
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\[
{}y^{\prime \prime }-y^{2} = 0
\] |
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\[
{}y^{\prime \prime }-6 y^{2} = 0
\] |
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\[
{}y^{\prime \prime }-6 y^{2}+4 y = 0
\] |
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\[
{}y^{\prime \prime }-a y^{3} = 0
\] |
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\[
{}y^{\prime \prime }+a \,x^{r} y^{2} = 0
\] |
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\[
{}y^{\prime \prime }+6 a^{10} y^{11}-y = 0
\] |
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\[
{}y^{\prime \prime }-\frac {1}{\left (y^{2} a +b x y+c \,x^{2}+\alpha y+\beta x +\gamma \right )^{{3}/{2}}} = 0
\] |
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\[
{}y^{\prime \prime }-{\mathrm e}^{y} = 0
\] |
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\[
{}y^{\prime \prime }+a \,{\mathrm e}^{x} \sqrt {y} = 0
\] |
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\[
{}y^{\prime \prime }+{\mathrm e}^{x} \sin \left (y\right ) = 0
\] |
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\[
{}y^{\prime \prime }+a \sin \left (y\right ) = 0
\] |
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\[
{}y^{\prime \prime } = \frac {f \left (\frac {y}{\sqrt {x}}\right )}{x^{{3}/{2}}}
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime }-y^{2}-2 y = 0
\] |
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\[
{}y^{\prime \prime }-7 y^{\prime }-y^{{3}/{2}}+12 y = 0
\] |
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\[
{}y^{\prime \prime }+5 a y^{\prime }-6 y^{2}+6 a^{2} y = 0
\] |
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\[
{}y^{\prime \prime }+3 a y^{\prime }-2 y^{3}+2 a^{2} y = 0
\] |
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\[
{}y^{\prime \prime }-\frac {\left (3 n +4\right ) y^{\prime }}{n}-\frac {2 \left (n +1\right ) \left (n +2\right ) y \left (y^{\frac {n}{n +1}}-1\right )}{n^{2}} = 0
\] |
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\[
{}y^{\prime \prime }+a y^{\prime }+b y^{n}+\frac {\left (a^{2}-1\right ) y}{4} = 0
\] |
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\[
{}y^{\prime \prime }+a y^{\prime }+b \,x^{v} y^{n} = 0
\] |
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\[
{}y^{\prime \prime }+a y^{\prime }+f \left (x \right ) \sin \left (y\right ) = 0
\] |
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\[
{}y^{\prime \prime }+y y^{\prime }-y^{3} = 0
\] |
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\[
{}y^{\prime \prime }+y y^{\prime }-y^{3}+a y = 0
\] |
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\[
{}y^{\prime \prime }+\left (y+3 a \right ) y^{\prime }-y^{3}+y^{2} a +2 a^{2} y = 0
\] |
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\[
{}y^{\prime \prime }+\left (y+3 f \left (x \right )\right ) y^{\prime }-y^{3}+y^{2} f \left (x \right )+y \left (f^{\prime }\left (x \right )+2 f \left (x \right )^{2}\right ) = 0
\] |
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\[
{}y^{\prime \prime }+\left (y-\frac {3 f^{\prime }\left (x \right )}{2 f \left (x \right )}\right ) y^{\prime }-y^{3}-\frac {f^{\prime }\left (x \right ) y^{2}}{2 f \left (x \right )}+\frac {\left (f \left (x \right )+\frac {{f^{\prime }\left (x \right )}^{2}}{f \left (x \right )^{2}}-f^{\prime \prime }\left (x \right )\right ) y}{2 f \left (x \right )} = 0
\] |
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\[
{}y^{\prime \prime }+2 y y^{\prime }+f \left (x \right ) y^{\prime }+f^{\prime }\left (x \right ) y = 0
\] |
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\[
{}y^{\prime \prime }+\left (3 y+f \left (x \right )\right ) y^{\prime }+y^{3}+y^{2} f \left (x \right ) = 0
\] |
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\[
{}y^{\prime \prime }-\left (3 y+f \left (x \right )\right ) y^{\prime }+y^{3}+y^{2} f \left (x \right ) = 0
\] |
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\[
{}y^{\prime \prime }-2 a y y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }+a y y^{\prime }+b y^{3} = 0
\] |
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\[
{}y^{\prime \prime }+f \left (x , y\right ) y^{\prime }+g \left (x , y\right ) = 0
\] |
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\[
{}y^{\prime \prime }+a {y^{\prime }}^{2}+b y = 0
\] |
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\[
{}y^{\prime \prime }+a y^{\prime } {| y^{\prime }|}+b y^{\prime }+c y = 0
\] |
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\[
{}y^{\prime \prime }+a {y^{\prime }}^{2}+b y^{\prime }+c y = 0
\] |
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\[
{}y^{\prime \prime }+a {y^{\prime }}^{2}+b \sin \left (y\right ) = 0
\] |
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\[
{}y^{\prime \prime }+a y^{\prime } {| y^{\prime }|}+b \sin \left (y\right ) = 0
\] |
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\[
{}y^{\prime \prime }+a y {y^{\prime }}^{2}+b y = 0
\] |
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\[
{}y^{\prime \prime }+f \left (y\right ) {y^{\prime }}^{2}+g \left (x \right ) y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }-\frac {D\left (f \right )\left (y\right ) {y^{\prime }}^{3}}{f \left (y\right )}+g \left (x \right ) y^{\prime }+h \left (x \right ) f \left (y\right ) = 0
\] |
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\[
{}y^{\prime \prime }+\phi \left (y\right ) {y^{\prime }}^{2}+f \left (x \right ) y^{\prime }+g \left (x \right ) \Phi \left (y\right ) = 0
\] |
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\[
{}y^{\prime \prime }+f \left (y\right ) {y^{\prime }}^{2}+g \left (y\right ) y^{\prime }+h \left (y\right ) = 0
\] |
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\[
{}y^{\prime \prime }+\left (1+{y^{\prime }}^{2}\right ) \left (f \left (x , y\right ) y^{\prime }+g \left (x , y\right )\right ) = 0
\] |
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\[
{}y^{\prime \prime }+a y \left (1+{y^{\prime }}^{2}\right )^{2} = 0
\] |
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