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Mathematica |
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\[
{}4 y^{\prime \prime }-8 y^{\prime }+7 y = 0
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\[
{}2 y^{\prime \prime }+y^{\prime }-y = 0
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\[
{}16 y^{\prime \prime }-8 y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+5 y = 0
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }-5 y = 0
\] |
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\[
{}y^{\prime \prime }-5 y^{\prime }+6 y = 0
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\[
{}y^{\prime \prime }-6 y^{\prime }+5 y = 0
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+9 y = 0
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\[
{}y^{\prime \prime }+4 y^{\prime }+5 y = 0
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime }+8 y^{\prime }-9 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+3 x y^{\prime }+10 y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }+10 x y^{\prime }+8 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }-3 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+2 x y^{\prime }+3 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }-2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }-16 y = 0
\] |
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\[
{}x y^{\prime \prime }+\left (x^{2}-1\right ) y^{\prime }+x^{3} y = 0
\] |
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\[
{}y^{\prime \prime }+3 x y^{\prime }+x^{2} y = 0
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }-10 y = 6 \,{\mathrm e}^{4 x}
\] |
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\[
{}y^{\prime \prime }+4 y = 3 \sin \left (x \right )
\] |
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\[
{}y^{\prime \prime }+10 y^{\prime }+25 y = 14 \,{\mathrm e}^{-5 x}
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+5 y = 25 x^{2}+12
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-6 y = 20 \,{\mathrm e}^{-2 x}
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime }+2 y = 14 \sin \left (2 x \right )-18 \cos \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }+y = 2 \cos \left (x \right )
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime } = 12 x -10
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = 6 \,{\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+2 y = {\mathrm e}^{x} \sin \left (x \right )
\] |
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\[
{}y^{\prime \prime }+y^{\prime } = 10 x^{4}+2
\] |
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\[
{}y^{\prime \prime }+k^{2} y = \sin \left (b x \right )
\] |
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\[
{}y^{\prime \prime }+4 y = 4 \cos \left (2 x \right )+6 \cos \left (x \right )+8 x^{2}-4 x
\] |
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\[
{}y^{\prime \prime }+9 y = 2 \sin \left (3 x \right )+4 \sin \left (x \right )-26 \,{\mathrm e}^{-2 x}+27 x^{3}
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = 2 x
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-6 y = {\mathrm e}^{-x}
\] |
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\[
{}y^{\prime \prime }+4 y = \tan \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{-x} \ln \left (x \right )
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }-3 y = 64 x \,{\mathrm e}^{-x}
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+5 y = {\mathrm e}^{-x} \sec \left (2 x \right )
\] |
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\[
{}2 y^{\prime \prime }+3 y^{\prime }+y = {\mathrm e}^{-3 x}
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime }+2 y = \frac {1}{1+{\mathrm e}^{-x}}
\] |
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\[
{}y^{\prime \prime }+y = \sec \left (x \right )
\] |
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\[
{}y^{\prime \prime }+y = \cot \left (x \right )^{2}
\] |
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\[
{}y^{\prime \prime }+y = \cot \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }+y = x \cos \left (x \right )
\] |
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\[
{}y^{\prime \prime }+y = \tan \left (x \right )
\] |
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\[
{}y^{\prime \prime }+y = \sec \left (x \right ) \tan \left (x \right )
\] |
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\[
{}y^{\prime \prime }+y = \sec \left (x \right ) \csc \left (x \right )
\] |
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\[
{}\left (x^{2}-1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = \left (x^{2}-1\right )^{2}
\] |
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\[
{}\left (x^{2}+x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }-\left (x +2\right ) y = x \left (1+x \right )^{2}
\] |
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\[
{}\left (1-x \right ) y^{\prime \prime }+x y^{\prime }-y = \left (1-x \right )^{2}
\] |
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\[
{}x y^{\prime \prime }-\left (1+x \right ) y^{\prime }+y = x^{2} {\mathrm e}^{2 x}
\] |
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\[
{}x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = x \,{\mathrm e}^{-x}
\] |
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\[
{}y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y = 0
\] |
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\[
{}y^{\prime \prime \prime }-y = 0
\] |
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\[
{}y^{\prime \prime \prime }+y = 0
\] |
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\[
{}y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+6 y^{\prime \prime }+4 y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }-y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+2 a^{2} y^{\prime \prime }+a^{4} y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+2 a^{2} y^{\prime \prime }+a^{4} y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime \prime }-6 y^{\prime }+5 y = 0
\] |
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\[
{}y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y = 0
\] |
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\[
{}y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+48 y^{\prime \prime }+16 y^{\prime }-96 y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime } = 0
\] |
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\[
{}y^{\prime \prime \prime \prime } = \sin \left (x \right )+24
\] |
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\[
{}y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 10+42 \,{\mathrm e}^{3 x}
\] |
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\[
{}y^{\prime \prime \prime }-y^{\prime } = 1
\] |
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\[
{}x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime } = 0
\] |
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\[
{}x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\] |
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\[
{}x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\] |
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\[
{}x^{3} y^{\prime \prime \prime \prime }+8 x^{2} y^{\prime \prime \prime }+8 x y^{\prime \prime }-8 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }-4 y = {\mathrm e}^{2 x}
\] |
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\[
{}y^{\prime \prime }-y = x^{2} {\mathrm e}^{2 x}
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+4 y = 10 x^{3} {\mathrm e}^{-2 x}
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }-y = {\mathrm e}^{-x}
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }-3 y = 6 \,{\mathrm e}^{5 x}
\] |
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\[
{}y^{\prime \prime }-y^{\prime }+y = x^{3}-3 x^{2}+1
\] |
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\[
{}y^{\prime \prime \prime }-2 y^{\prime }+y = 2 x^{3}-3 x^{2}+4 x +5
\] |
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\[
{}4 y^{\prime \prime }+y = x^{4}
\] |
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\[
{}y^{\left (5\right )}-y^{\prime \prime \prime } = x^{2}
\] |
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\[
{}y^{\left (6\right )}-y = x^{10}
\] |
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\[
{}y^{\prime \prime }+y^{\prime }-y = -x^{4}+3 x
\] |
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\[
{}y^{\prime \prime }+y = x^{4}
\] |
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\[
{}y^{\prime \prime \prime }-y^{\prime \prime } = 12 x -2
\] |
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\[
{}y^{\prime \prime \prime }+y^{\prime \prime } = 9 x^{2}-2 x +1
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+3 y = x^{3} {\mathrm e}^{2 x}
\] |
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\[
{}y^{\prime \prime }-7 y^{\prime }+12 y = {\mathrm e}^{2 x} \left (x^{3}-5 x^{2}\right )
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+y = 2 x^{2} {\mathrm e}^{-2 x}+3 \,{\mathrm e}^{2 x}
\] |
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\[
{}y^{\prime \prime \prime }-8 y = 16 x^{2}
\] |
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\[
{}y^{\prime \prime \prime \prime }-y = -x^{3}+1
\] |
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\[
{}y^{\prime \prime \prime }-\frac {y^{\prime }}{4} = x
\] |
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