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Mathematica |
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\[
{} y^{\prime \prime }+3 y^{\prime } = {\mathrm e}^{\frac {x}{2}}
\]
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\[
{} y^{\prime \prime }-3 y^{\prime }-10 y = -5 \,{\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime }+9 y = 10 \cos \left (2 x \right )+15 \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+9 y = 25 \sin \left (6 x \right )
\]
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\[
{} y^{\prime \prime }+3 y^{\prime } = 26 \cos \left (\frac {x}{3}\right )-12 \sin \left (\frac {x}{3}\right )
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }-5 y = \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }-3 y^{\prime }-10 y = -4 \cos \left (x \right )+7 \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }-3 y^{\prime }-10 y = -200
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }-5 y = x^{3}
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+9 y = 18 x^{2}+3 x +4
\]
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\[
{} y^{\prime \prime }+9 y = 9 x^{4}-9
\]
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\[
{} y^{\prime \prime }+9 y = x^{3}
\]
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\[
{} y^{\prime \prime }+9 y = 25 x \cos \left (2 x \right )
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+9 y = {\mathrm e}^{2 x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+9 y = 54 x^{2} {\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime } = 6 x \,{\mathrm e}^{x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = \left (-6 x -8\right ) \cos \left (2 x \right )+\left (8 x -11\right ) \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = \left (12 x -4\right ) {\mathrm e}^{-5 x}
\]
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\[
{} y^{\prime \prime }+9 y = 39 x \,{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }-3 y^{\prime }-10 y = -3 \,{\mathrm e}^{-2 x}
\]
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\[
{} y^{\prime \prime }+4 y^{\prime } = 20
\]
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\[
{} y^{\prime \prime }+4 y^{\prime } = x^{2}
\]
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\[
{} y^{\prime \prime }+9 y = 3 \sin \left (3 x \right )
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+9 y = 10 \,{\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime }-3 y^{\prime }-10 y = \left (72 x^{2}-1\right ) {\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }-3 y^{\prime }-10 y = 4 x \,{\mathrm e}^{6 x}
\]
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\[
{} y^{\prime \prime }-10 y^{\prime }+25 y = 6 \,{\mathrm e}^{5 x}
\]
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\[
{} y^{\prime \prime }-10 y^{\prime }+25 y = 6 \,{\mathrm e}^{-5 x}
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+5 y = 24 \sin \left (3 x \right )
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+5 y = 8 \,{\mathrm e}^{-3 x}
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+5 y = {\mathrm e}^{2 x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+5 y = {\mathrm e}^{-x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+5 y = 100
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+5 y = {\mathrm e}^{-x}
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+5 y = 10 x^{2}+4 x +8
\]
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\[
{} y^{\prime \prime }+9 y = {\mathrm e}^{2 x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = 6 \cos \left (x \right )-3 \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = 6 \cos \left (2 x \right )-3 \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+5 y = x^{3} {\mathrm e}^{-x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+5 y = x^{3} {\mathrm e}^{2 x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+6 y = x^{2} {\mathrm e}^{-7 x}+2 \,{\mathrm e}^{-7 x}
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+6 y = x^{2}
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 4 \,{\mathrm e}^{-8 x}
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 4 \,{\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+6 y = x^{2} {\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+6 y = x^{2} \cos \left (2 x \right )
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+6 y = x^{2} {\mathrm e}^{3 x} \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+20 y = {\mathrm e}^{4 x} \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+20 y = {\mathrm e}^{2 x} \sin \left (4 x \right )
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+20 y = x^{3} \sin \left (4 x \right )
\]
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\[
{} y^{\prime \prime }-10 y^{\prime }+25 y = 3 x^{2} {\mathrm e}^{5 x}
\]
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\[
{} y^{\prime \prime }-10 y^{\prime }+25 y = 3 x^{4}
\]
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\[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime } = 12 \,{\mathrm e}^{-2 x}
\]
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\[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime } = 10 \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime } = 32 \,{\mathrm e}^{4 x}
\]
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\[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime } = 32 x
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = x^{2}
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 30 \cos \left (2 x \right )
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 6 \,{\mathrm e}^{x}
\]
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\[
{} y^{\left (5\right )}+18 y^{\prime \prime \prime }+81 y^{\prime } = x^{2} {\mathrm e}^{3 x}
\]
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\[
{} y^{\left (5\right )}+18 y^{\prime \prime \prime }+81 y^{\prime } = x^{2} \sin \left (3 x \right )
\]
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\[
{} y^{\left (5\right )}+18 y^{\prime \prime \prime }+81 y^{\prime } = x^{2} {\mathrm e}^{3 x} \sin \left (3 x \right )
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 30 x \cos \left (2 x \right )
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 3 x \cos \left (x \right )
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 3 x \,{\mathrm e}^{x} \cos \left (x \right )
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 5 x^{5} {\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+9 y = 27 \,{\mathrm e}^{6 x}+25 \sin \left (6 x \right )
\]
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\[
{} y^{\prime \prime }+9 y = 25 x \cos \left (2 x \right )+3 \sin \left (3 x \right )
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+5 y = 5 \sin \left (x \right )^{2}
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+5 y = 20 \sinh \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \cot \left (x \right )
\]
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\[
{} y^{\prime \prime }+4 y = \csc \left (2 x \right )
\]
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\[
{} y^{\prime \prime }-7 y^{\prime }+10 y = 6 \,{\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+4 y = \left (24 x^{2}+2\right ) {\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+4 y = \frac {{\mathrm e}^{-2 x}}{x^{2}+1}
\]
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\[
{} y^{\prime \prime }-y^{\prime }-6 y = 12 \,{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime \prime }-4 y^{\prime } = 30 \,{\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = \tan \left (x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }-81 y = \sinh \left (x \right )
\]
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\[
{} y^{\prime \prime }+36 y = 0
\]
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\[
{} y^{\prime \prime }-12 y^{\prime }+36 y = 0
\]
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\[
{} y^{\prime \prime }-36 y = 0
\]
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\[
{} y^{\prime \prime }-9 y^{\prime }+14 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 0
\]
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\[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 0
\]
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\[
{} y^{\prime \prime }+3 y = 0
\]
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\[
{} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }+13 y^{\prime \prime \prime } = 0
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+25 y = 0
\]
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\[
{} y^{\prime \prime }-8 y^{\prime }+25 y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }-30 y = 0
\]
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\[
{} 16 y^{\prime \prime }-8 y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime } = 8
\]
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\[
{} y^{\prime \prime \prime \prime }-16 y = 0
\]
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\[
{} 2 y^{\prime \prime }-7 y^{\prime }+3 = 0
\]
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\[
{} y^{\prime \prime }+20 y^{\prime }+100 y = 0
\]
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\[
{} y^{\prime \prime }-5 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime }-9 y^{\prime }+14 y = 98 x^{2}
\]
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\[
{} y^{\prime \prime }-12 y^{\prime }+36 y = 25 \sin \left (3 x \right )
\]
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\[
{} y^{\prime \prime }-9 y^{\prime }+14 y = 576 x^{2} {\mathrm e}^{-x}
\]
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\[
{} y^{\prime \prime }-12 y^{\prime }+36 y = 81 \,{\mathrm e}^{3 x}
\]
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