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Mathematica |
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\[
{} y^{\prime \prime }-3 y^{\prime }+2 y = x \,{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }+y = 4 \sin \left (x \right )
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 4 \,{\mathrm e}^{t}
\]
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 3 \sin \left (t \right )-5 \cos \left (t \right )
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = g \left (t \right )
\]
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\[
{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y^{\prime }-4 y = f \left (x \right )
\]
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\[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 50 \,{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 50 \,{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }+3 y^{\prime }+2 y = \cos \left (2 x \right )
\]
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\[
{} y^{\prime \prime \prime }+6 y^{\prime \prime }+11 y^{\prime }+6 y = 2 \sin \left (3 x \right )
\]
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\[
{} y^{\prime \prime }+4 y = x^{2}
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+3 y = x^{3}
\]
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\[
{} a^{2} y^{\prime \prime \prime \prime } = y^{\prime \prime }
\]
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\[
{} y^{\prime \prime } = x +2
\]
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\[
{} y^{\prime \prime \prime } = x^{2}
\]
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\[
{} y^{\prime \prime }-y = 0
\]
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\[
{} y^{\prime \prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }+k^{2} y = 0
\]
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\[
{} y^{\prime \prime } = 3 x +1
\]
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\[
{} y^{\prime \prime }-4 y = 0
\]
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\[
{} 3 y^{\prime \prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }+16 y = 0
\]
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\[
{} y^{\prime \prime } = 0
\]
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\[
{} y^{\prime \prime }+2 i y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+5 y = 0
\]
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\[
{} y^{\prime \prime }+\left (-1+3 i\right ) y^{\prime }-3 i y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 0
\]
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\[
{} y^{\prime \prime }+\left (1+4 i\right ) y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }+\left (-1+3 i\right ) y^{\prime }-3 i y = 0
\]
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\[
{} y^{\prime \prime }+10 y = 0
\]
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\[
{} y^{\prime \prime }+4 y = \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }+9 y = \sin \left (3 x \right )
\]
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\[
{} y^{\prime \prime }+y = \tan \left (x \right )
\]
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\[
{} y^{\prime \prime }+2 i y^{\prime }+y = x
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+5 y = 3 \,{\mathrm e}^{-x}+2 x^{2}
\]
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\[
{} y^{\prime \prime }-7 y^{\prime }+6 y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = 2 \sin \left (2 x \right ) \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \sec \left (x \right )
\]
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\[
{} 4 y^{\prime \prime }-y = {\mathrm e}^{x}
\]
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\[
{} 6 y^{\prime \prime }+5 y^{\prime }-6 y = x
\]
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\[
{} y^{\prime \prime }+\omega ^{2} y = A \cos \left (\omega x \right )
\]
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\[
{} y^{\prime \prime \prime }-8 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+16 y = 0
\]
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\[
{} y^{\prime \prime \prime }-5 y^{\prime \prime }+6 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime }-i y^{\prime \prime }+4 y^{\prime }-4 i y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-16 y = 0
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime }-2 y = 0
\]
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\[
{} y^{\prime \prime \prime }-3 i y^{\prime \prime }-3 y^{\prime }+i y = 0
\]
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\[
{} y^{\prime \prime \prime }-4 y^{\prime } = 0
\]
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\[
{} y^{\left (5\right )}-y^{\prime \prime \prime \prime }-y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }-y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-y = 0
\]
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\[
{} y^{\left (5\right )}+2 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 0
\]
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\[
{} y^{\prime \prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime \prime }-i y^{\prime \prime }+y^{\prime }-i y = 0
\]
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\[
{} y^{\prime \prime }-2 i y^{\prime }-y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-k^{4} y = 0
\]
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\[
{} y^{\prime \prime \prime }-y = x
\]
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\[
{} y^{\prime \prime \prime }-8 y = {\mathrm e}^{i x}
\]
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\[
{} y^{\prime \prime \prime \prime }+16 y = \cos \left (x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-4 y^{\prime }+y = {\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime \prime \prime }-y = \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }-2 i y^{\prime }-y = {\mathrm e}^{i x}-2 \,{\mathrm e}^{-i x}
\]
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\[
{} y^{\prime \prime }+4 y = \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }+4 y = \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }-4 y = 3 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{-x}
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = x^{2}+\cos \left (x \right )
\]
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\[
{} y^{\prime \prime }+9 y = x^{2} {\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime }+y = x \,{\mathrm e}^{x} \cos \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+i y^{\prime }+2 y = 2 \cosh \left (2 x \right )+{\mathrm e}^{-2 x}
\]
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\[
{} y^{\prime \prime \prime } = x^{2}+{\mathrm e}^{-x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = x^{2} {\mathrm e}^{-x}
\]
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\[
{} y^{\prime \prime }+y^{\prime } = 1
\]
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\[
{} y^{\prime \prime }+k^{2} y = 0
\]
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\[
{} y^{\prime \prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }-4 y = 0
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+4 y = 0
\]
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\[
{} 2 y^{\prime \prime \prime }+y^{\prime \prime }-5 y^{\prime }+2 y = 0
\]
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\[
{} \frac {y^{\prime \prime }}{y^{\prime }} = x^{2}
\]
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\[
{} y^{\prime \prime }-k^{2} y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }+8 y = 0
\]
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\[
{} 2 y^{\prime \prime }-4 y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }-9 y^{\prime }+20 y = 0
\]
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\[
{} 2 y^{\prime \prime }+2 y^{\prime }+3 y = 0
\]
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\[
{} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+25 y = 0
\]
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\[
{} 4 y^{\prime \prime }+20 y^{\prime }+25 y = 0
\]
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