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Mathematica |
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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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\[
{}y^{\prime \prime }+3 y^{\prime }-10 y = 6 \,{\mathrm e}^{4 x}
\] |
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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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\[
{}y^{\prime \prime }+4 y = 4 \cos \left (2 x \right )+6 \cos \left (x \right )+8 x^{2}-4 x
\] |
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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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\[
{}y^{\prime \prime }-3 y = {\mathrm e}^{2 x}
\] |
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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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\[
{}y^{\prime \prime }-2 y^{\prime }+y = 2 x
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-6 y = {\mathrm e}^{-x}
\] |
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\[
{}\left (x^{2}-1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = \left (x^{2}-1\right )^{2}
\] |
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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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\[
{}y^{\prime \prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-y = 0
\] |
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\[
{}x y^{\prime \prime }+3 y^{\prime } = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }-4 y = 0
\] |
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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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\[
{}y^{\prime \prime }-\frac {x y^{\prime }}{x -1}+\frac {y}{x -1} = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x \left (x +2\right ) y^{\prime }+\left (x +2\right ) y = 0
\] |
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\[
{}y^{\prime \prime }-x f \left (x \right ) y^{\prime }+f \left (x \right ) y = 0
\] |
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\[
{}x y^{\prime \prime }-\left (2 x +1\right ) y^{\prime }+\left (1+x \right ) y = 0
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+6 y^{\prime }+9 y = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }+6 y = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }-5 y = x
\] |
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\[
{}y^{\prime \prime }+y = {\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+y = \sin \left (x \right )
\] |
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\[
{}y^{\prime \prime }-y = {\mathrm e}^{3 x}
\] |
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\[
{}y^{\prime \prime }+9 y = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }+4 y = x
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+5 y = {\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+4 y = \sin \left (x \right )
\] |
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\[
{}y^{\prime \prime }+y = {\mathrm e}^{-x}
\] |
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\[
{}y^{\prime \prime }-y = \cos \left (x \right )
\] |
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\[
{}y^{\prime \prime } = \tan \left (x \right )
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime } = \ln \left (x \right )
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = 2 x -1
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{-x}
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-2 y = \cos \left (x \right )
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }-y = x \,{\mathrm e}^{x} \sin \left (x \right )
\] |
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\[
{}y^{\prime \prime }+9 y = \sec \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+4 y = x \ln \left (x \right )
\] |
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\[
{}x^{2} y^{\prime \prime }+3 x y^{\prime }+y = \frac {2}{x}
\] |
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\[
{}y^{\prime \prime }+4 y = \tan \left (x \right )^{2}
\] |
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\[
{}y^{\prime \prime }-y = 3 \,{\mathrm e}^{2 x}
\] |
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\[
{}y^{\prime \prime }+y = -8 \sin \left (3 x \right )
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+y = x^{2}+2 x +2
\] |
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\[
{}y^{\prime \prime }+y^{\prime } = \frac {x -1}{x}
\] |
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\[
{}x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime }+9 y = -3 \cos \left (2 x \right )
\] |
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\[
{}y^{\prime \prime } = -3 y
\] |
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\[
{}y^{\prime \prime }+5 y^{\prime }+6 y = 5 \,{\mathrm e}^{3 t}
\] |
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\[
{}y^{\prime \prime }+y^{\prime }-6 y = t
\] |
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\[
{}y^{\prime \prime }-y = t^{2}
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }-5 y = 1
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }-2 y = -6 \,{\mathrm e}^{-t +\pi }
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }-y = t \,{\mathrm e}^{-t}
\] |
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\[
{}y^{\prime \prime }-y^{\prime }+y = 3 \,{\mathrm e}^{-t}
\] |
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\[
{}y^{\prime \prime }-5 y^{\prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+3 y = 2
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+2 y = t
\] |
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\[
{}y^{\prime \prime }-7 y^{\prime }+12 y = t \,{\mathrm e}^{2 t}
\] |
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\[
{}i^{\prime \prime }+2 i^{\prime }+3 i = \left \{\begin {array}{cc} 30 & 0<t <2 \pi \\ 0 & 2 \pi \le t \le 5 \pi \\ 10 & 5 \pi <t <\infty \end {array}\right .
\] |
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\[
{}y^{\prime \prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-y = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime } = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{9}\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}-25\right ) y = 0
\] |
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\[
{}16 x^{2} y^{\prime \prime }+16 x y^{\prime }+\left (16 x^{2}-1\right ) y = 0
\] |
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\[
{}x y^{\prime \prime }+y^{\prime }+x y = 0
\] |
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\[
{}y^{\prime }+x y^{\prime \prime }+\left (x -\frac {4}{x}\right ) y = 0
\] |
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