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Mathematica |
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\[
{}x^{\prime \prime } = 50
\] |
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\[
{}x^{\prime \prime } = -20
\] |
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\[
{}x^{\prime \prime } = 3 t
\] |
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\[
{}x^{\prime \prime } = 2 t +1
\] |
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\[
{}x^{\prime \prime } = 4 \left (3+t \right )^{2}
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\[
{}x^{\prime \prime } = \frac {1}{\sqrt {t +4}}
\] |
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\[
{}x^{\prime \prime } = \frac {1}{\left (t +1\right )^{3}}
\] |
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\[
{}x^{\prime \prime } = 50 \sin \left (5 t \right )
\] |
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\[
{}x y^{\prime \prime } = y^{\prime }
\] |
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\[
{}y^{\prime \prime }+4 y = 0
\] |
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\[
{}x y^{\prime \prime }+y^{\prime } = 4 x
\] |
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\[
{}x^{2} y^{\prime \prime }+3 x y^{\prime } = 2
\] |
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\[
{}y^{\prime \prime }-y = 0
\] |
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\[
{}y^{\prime \prime }-9 y = 0
\] |
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\[
{}y^{\prime \prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime }+25 y = 0
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime }-6 y = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-10 y^{\prime }+25 y = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime }+6 y^{\prime }+13 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }-15 y = 0
\] |
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\[
{}y^{\prime \prime }+5 y^{\prime } = 0
\] |
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\[
{}2 y^{\prime \prime }+3 y^{\prime } = 0
\] |
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\[
{}2 y^{\prime \prime }-y^{\prime }-y = 0
\] |
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\[
{}4 y^{\prime \prime }+8 y^{\prime }+3 y = 0
\] |
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\[
{}4 y^{\prime \prime }+4 y^{\prime }+y = 0
\] |
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\[
{}9 y^{\prime \prime }-12 y^{\prime }+4 y = 0
\] |
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\[
{}6 y^{\prime \prime }-7 y^{\prime }-20 y = 0
\] |
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\[
{}35 y^{\prime \prime }-y^{\prime }-12 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }+8 x y^{\prime }-3 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime } = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime }+y = 3 x
\] |
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\[
{}y^{\prime \prime }-4 y = 12
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }-3 y = 6
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+2 y = 2 x
\] |
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\[
{}y^{\prime \prime }+2 y = 6 x +4
\] |
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\[
{}x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }-5 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }-9 y = 0
\] |
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\[
{}4 y^{\prime \prime }-4 y^{\prime }+y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x \left (x +2\right ) y^{\prime }+\left (x +2\right ) y = 0
\] |
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\[
{}\left (1+x \right ) y^{\prime \prime }-\left (x +2\right ) y^{\prime }+y = 0
\] |
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\[
{}\left (-x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\] |
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\[
{}\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0
\] |
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\[
{}y^{\prime \prime }-4 y = 0
\] |
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\[
{}2 y^{\prime \prime }-3 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime }-10 y = 0
\] |
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\[
{}2 y^{\prime \prime }-7 y^{\prime }+3 y = 0
\] |
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\[
{}y^{\prime \prime }+6 y^{\prime }+9 y = 0
\] |
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\[
{}y^{\prime \prime }+5 y^{\prime }+5 y = 0
\] |
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\[
{}4 y^{\prime \prime }-12 y^{\prime }+9 y = 0
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+13 y = 0
\] |
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\[
{}y^{\prime \prime }+8 y^{\prime }+25 y = 0
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+3 y = 0
\] |
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\[
{}9 y^{\prime \prime }+6 y^{\prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+25 y = 0
\] |
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\[
{}y^{\prime \prime }+2 i y^{\prime }+3 y = 0
\] |
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\[
{}y^{\prime \prime }-i y^{\prime }+6 y = 0
\] |
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\[
{}y^{\prime \prime } = \left (-2+2 i \sqrt {3}\right ) y
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+9 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+7 x y^{\prime }+25 y = 0
\] |
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\[
{}y^{\prime \prime }+16 y = {\mathrm e}^{3 x}
\] |
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\[
{}y^{\prime \prime }-y^{\prime }+2 y = 3 x +4
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-6 y = 2 \sin \left (3 x \right )
\] |
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\[
{}4 y^{\prime \prime }+4 y^{\prime }+y = 3 x \,{\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+y = \sin \left (x \right )^{2}
\] |
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\[
{}2 y^{\prime \prime }+4 y^{\prime }+7 y = x^{2}
\] |
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\[
{}y^{\prime \prime }-4 y = \sinh \left (x \right )
\] |
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\[
{}y^{\prime \prime }-4 y = \cosh \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }-3 y = 1+x \,{\mathrm e}^{x}
\] |
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\[
{}2 y^{\prime \prime }+9 y = 2 \cos \left (3 x \right )+3 \sin \left (3 x \right )
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+5 y = {\mathrm e}^{x} \sin \left (x \right )
\] |
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\[
{}y^{\prime \prime }+9 y = 2 x^{2} {\mathrm e}^{3 x}+5
\] |
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\[
{}y^{\prime \prime }+y = \sin \left (x \right )+x \cos \left (x \right )
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+2 y = {\mathrm e}^{x} \sin \left (x \right )
\] |
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\[
{}y^{\prime \prime }+4 y = 3 x \cos \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = x \left ({\mathrm e}^{-x}-{\mathrm e}^{-2 x}\right )
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+13 y = x \,{\mathrm e}^{3 x} \sin \left (3 x \right )
\] |
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\[
{}y^{\prime \prime }+4 y = 2 x
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = {\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }+9 y = \sin \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }+y = \cos \left (x \right )
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+2 y = 1+x
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+2 y = \sin \left (3 x \right )
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+y = \sin \left (x \right ) \sin \left (3 x \right )
\] |
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\[
{}y^{\prime \prime }+9 y = \sin \left (x \right )^{4}
\] |
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\[
{}y^{\prime \prime }+y = x \cos \left (x \right )^{3}
\] |
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