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ODE |
Mathematica |
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\[
{}y^{\left (6\right )}-2 y^{\left (5\right )}+3 y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+3 y^{\prime \prime }-2 y^{\prime }+y = \sin \left (\frac {x}{2}\right )^{2}+{\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime \prime \prime }+y^{\prime \prime }+16 y = 16 x^{2}+256
\] |
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\[
{}y^{\prime \prime }+y = 3 \cos \left (x \right )^{2}+2 \sin \left (x \right )^{3}
\] |
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\[
{}y^{\prime \prime \prime \prime }+10 y^{\prime \prime }+9 y = 96 \sin \left (2 x \right ) \cos \left (x \right )
\] |
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\[
{}y^{\left (5\right )}-13 y^{\prime \prime \prime }+26 y^{\prime \prime }+82 y^{\prime }+104 y = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+10 y+37 \sin \left (3 x \right ) = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 24 x \cos \left (x \right )
\] |
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\[
{}y^{\prime \prime \prime } = f \left (x \right )
\] |
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\[
{}y^{\prime \prime } = x +\sin \left (x \right )
\] |
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\[
{}y^{\prime \prime } = x \,{\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime } = \frac {a}{x}
\] |
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\[
{}y^{\prime \prime } = y
\] |
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\[
{}y^{\prime \prime }-a^{2} y = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime } = {\mathrm e}^{x}
\] |
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\[
{}a y^{\prime \prime } = y^{\prime }
\] |
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\[
{}a^{2} y^{\prime \prime \prime \prime } = y^{\prime \prime }
\] |
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\[
{}y^{\prime \prime \prime \prime }+a^{2} y^{\prime \prime } = 0
\] |
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\[
{}y^{\left (5\right )}-n^{2} y^{\prime \prime \prime } = {\mathrm e}^{a x}
\] |
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\[
{}y^{\prime \prime }+a^{2} y = 0
\] |
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\[
{}a y^{\prime \prime \prime } = y^{\prime \prime }
\] |
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\[
{}y^{\prime \prime \prime } = \sin \left (x \right )^{2}
\] |
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\[
{}y^{\prime \prime }+y = x
\] |
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\[
{}y^{\prime \prime }+y = \csc \left (x \right )
\] |
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\[
{}y^{\prime \prime }+4 y = 4 \tan \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }-y = \frac {2}{1+{\mathrm e}^{x}}
\] |
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\[
{}2 y^{\prime \prime }+9 y^{\prime }-18 y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-9 y^{\prime \prime }-11 y^{\prime }-4 y = 0
\] |
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\[
{}y^{\prime \prime \prime }-8 y = 0
\] |
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\[
{}y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = {\mathrm e}^{-x}
\] |
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\[
{}y^{\prime \prime }+n^{2} y = \sec \left (n x \right )
\] |
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\[
{}y^{\prime \prime \prime }+y = \left (1+{\mathrm e}^{x}\right )^{2}
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+y = a \cos \left (2 x \right )
\] |
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\[
{}y^{\prime \prime \prime }+a^{2} y^{\prime } = \sin \left (a x \right )
\] |
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\[
{}y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y = {\mathrm e}^{x}+\cos \left (x \right )
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = x \sin \left (x \right )
\] |
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\[
{}y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime } = x^{2}
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = x^{2} {\mathrm e}^{3 x}
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+4 y = 2 \sinh \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }+a^{2} y = \cos \left (a x \right )
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = x \sin \left (x \right )
\] |
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\[
{}y^{\prime \prime \prime } = x \,{\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime } = x^{2} \sin \left (x \right )
\] |
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\[
{}y^{\prime \prime } = \sec \left (x \right )^{2}
\] |
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\[
{}y^{\prime \prime \prime \prime }-a^{2} y^{\prime \prime } = 0
\] |
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\[
{}y^{\prime \prime }+a^{2} y = \sec \left (a x \right )
\] |
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\[
{}y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = {\mathrm e}^{2 x}
\] |
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