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Mathematica |
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\[
{}x +y+1+\left (2 x +2 y-1\right ) y^{\prime } = 0
\] |
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\[
{}y^{3}+2 \left (x^{2}-x y^{2}\right ) y^{\prime } = 0
\] |
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\[
{}y^{\prime } = \frac {2 \left (y+2\right )^{2}}{\left (x +y-1\right )^{2}}
\] |
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\[
{}4 x^{2} {y^{\prime }}^{2}-y^{2} = x y^{3}
\] |
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\[
{}y^{\prime }+x {y^{\prime }}^{2}-y = 0
\] |
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\[
{}y^{\prime \prime }+y = 2 \cos \left (x \right )+2 \sin \left (x \right )
\] |
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\[
{}x y^{\prime \prime \prime } = 2
\] |
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\[
{}y^{\prime \prime } = {y^{\prime }}^{2}
\] |
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\[
{}\left (x -1\right ) y^{\prime \prime } = 1
\] |
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\[
{}{y^{\prime }}^{4} = 1
\] |
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\[
{}y^{\prime \prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime }+2 y = 2
\] |
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\[
{}y^{\prime \prime } = \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
\] |
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\[
{}{y^{\prime }}^{2}+y y^{\prime \prime } = 1
\] |
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\[
{}y^{\prime \prime \prime \prime } = x
\] |
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\[
{}y^{\prime \prime \prime } = x +\cos \left (x \right )
\] |
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\[
{}y^{\prime \prime } \left (x +2\right )^{5} = 1
\] |
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\[
{}y^{\prime \prime } = x \,{\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime } = 2 x \ln \left (x \right )
\] |
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\[
{}x y^{\prime \prime } = y^{\prime }
\] |
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\[
{}x y^{\prime \prime }+y^{\prime } = 0
\] |
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\[
{}x y^{\prime \prime } = \left (2 x^{2}+1\right ) y^{\prime }
\] |
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\[
{}x y^{\prime \prime } = y^{\prime }+x^{2}
\] |
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\[
{}x \ln \left (x \right ) y^{\prime \prime } = y^{\prime }
\] |
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\[
{}x y = y^{\prime } \ln \left (\frac {y^{\prime }}{x}\right )
\] |
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\[
{}2 y^{\prime \prime } = \frac {y^{\prime }}{x}+\frac {x^{2}}{y^{\prime }}
\] |
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\[
{}y^{\prime \prime \prime } = \sqrt {1-{y^{\prime \prime }}^{2}}
\] |
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\[
{}x y^{\prime \prime \prime }-y^{\prime \prime } = 0
\] |
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\[
{}y^{\prime \prime } = \sqrt {1+{y^{\prime }}^{2}}
\] |
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\[
{}y^{\prime \prime } = {y^{\prime }}^{2}
\] |
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\[
{}y^{\prime \prime } = \sqrt {1-{y^{\prime }}^{2}}
\] |
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\[
{}y^{\prime \prime } = 1+{y^{\prime }}^{2}
\] |
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\[
{}y^{\prime \prime } = \sqrt {1+y^{\prime }}
\] |
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\[
{}y^{\prime \prime } = y^{\prime } \ln \left (y^{\prime }\right )
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+2 = 0
\] |
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\[
{}y^{\prime \prime } = y^{\prime } \left (1+y^{\prime }\right )
\] |
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\[
{}3 y^{\prime \prime } = \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
\] |
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\[
{}y^{\prime \prime \prime }+{y^{\prime \prime }}^{2} = 0
\] |
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\[
{}y y^{\prime \prime } = {y^{\prime }}^{2}
\] |
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\[
{}y^{\prime \prime } = 2 y y^{\prime }
\] |
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\[
{}3 y^{\prime } y^{\prime \prime } = 2 y
\] |
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\[
{}2 y^{\prime \prime } = 3 y^{2}
\] |
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\[
{}{y^{\prime }}^{2}+y y^{\prime \prime } = 0
\] |
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\[
{}y y^{\prime \prime } = y^{\prime }+{y^{\prime }}^{2}
\] |
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\[
{}y y^{\prime \prime } = 1+{y^{\prime }}^{2}
\] |
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\[
{}2 y y^{\prime \prime } = 1+{y^{\prime }}^{2}
\] |
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\[
{}y^{3} y^{\prime \prime } = -1
\] |
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\[
{}y y^{\prime \prime }-{y^{\prime }}^{2} = y^{\prime } y^{2}
\] |
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\[
{}y^{\prime \prime } = {\mathrm e}^{2 y}
\] |
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\[
{}2 y y^{\prime \prime }-3 {y^{\prime }}^{2} = 4 y^{2}
\] |
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\[
{}y^{\prime \prime \prime } = 3 y y^{\prime }
\] |
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\[
{}y^{\prime \prime }-y = 0
\] |
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\[
{}3 y^{\prime \prime }-2 y^{\prime }-8 y = 0
\] |
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\[
{}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+3 y = 0
\] |
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\[
{}y^{\prime \prime \prime }+6 y^{\prime \prime }+11 y^{\prime }+6 y = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }-2 y = 0
\] |
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\[
{}y^{\left (6\right )}+2 y^{\left (5\right )}+y^{\prime \prime \prime \prime } = 0
\] |
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\[
{}4 y^{\prime \prime }-8 y^{\prime }+5 y = 0
\] |
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\[
{}y^{\prime \prime \prime }-8 y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+10 y^{\prime \prime }+12 y^{\prime }+5 y = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+3 y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+4 y^{\prime \prime }-2 y^{\prime }-5 y = 0
\] |
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\[
{}y^{\left (5\right )}+4 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }-6 y^{\prime }-4 y = 0
\] |
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\[
{}y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-2 y = 0
\] |
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\[
{}y^{\prime \prime \prime }-2 y^{\prime \prime }+2 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }-y = 0
\] |
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\[
{}y^{\left (5\right )} = 0
\] |
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\[
{}y^{\prime \prime \prime }-3 y^{\prime }-2 y = 0
\] |
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\[
{}2 y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime \prime }+y^{\prime \prime } = 0
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime } = 3
\] |
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\[
{}y^{\prime \prime }-7 y^{\prime } = \left (x -1\right )^{2}
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime } = {\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }+7 y^{\prime } = {\mathrm e}^{-7 x}
\] |
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\[
{}y^{\prime \prime }-8 y^{\prime }+16 y = \left (1-x \right ) {\mathrm e}^{4 x}
\] |
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\[
{}y^{\prime \prime }-10 y^{\prime }+25 y = {\mathrm e}^{5 x}
\] |
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\[
{}4 y^{\prime \prime }-3 y^{\prime } = x \,{\mathrm e}^{\frac {3 x}{4}}
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime } = x \,{\mathrm e}^{4 x}
\] |
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\[
{}y^{\prime \prime }+25 y = \cos \left (5 x \right )
\] |
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\[
{}y^{\prime \prime }+y = \sin \left (x \right )-\cos \left (x \right )
\] |
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\[
{}y^{\prime \prime }+16 y = \sin \left (4 x +\alpha \right )
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+8 y = {\mathrm e}^{2 x} \left (\sin \left (2 x \right )+\cos \left (2 x \right )\right )
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+8 y = {\mathrm e}^{2 x} \left (\sin \left (2 x \right )-\cos \left (2 x \right )\right )
\] |
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\[
{}y^{\prime \prime }+6 y^{\prime }+13 y = {\mathrm e}^{-3 x} \cos \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }+k^{2} y = k \sin \left (k x +\alpha \right )
\] |
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\[
{}y^{\prime \prime }+k^{2} y = k
\] |
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\[
{}y^{\prime \prime \prime }+y = x
\] |
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\[
{}y^{\prime \prime \prime }+6 y^{\prime \prime }+11 y^{\prime }+6 y = 1
\] |
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\[
{}y^{\prime \prime \prime }+y^{\prime } = 2
\] |
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\[
{}y^{\prime \prime \prime }+y^{\prime \prime } = 3
\] |
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\[
{}y^{\prime \prime \prime \prime }-y = 1
\] |
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\[
{}y^{\prime \prime \prime \prime }-y^{\prime } = 2
\] |
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\[
{}y^{\prime \prime \prime \prime }-y^{\prime \prime } = 3
\] |
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\[
{}y^{\prime \prime \prime \prime }-y^{\prime \prime \prime } = 4
\] |
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\[
{}y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+4 y^{\prime \prime } = 1
\] |
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\[
{}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+y^{\prime \prime } = {\mathrm e}^{4 x}
\] |
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\[
{}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+y^{\prime \prime } = {\mathrm e}^{-x}
\] |
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