| # | ODE | Mathematica | Maple | Sympy |
| \[
{} [x^{\prime }\left (t \right ) = x \left (t \right )+y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )-y \left (t \right ), z^{\prime }\left (t \right ) = 2 y \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right ) = y \left (t \right ) z \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right ) z \left (t \right ), z^{\prime }\left (t \right ) = x \left (t \right ) y \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right ) = x \left (t \right ) y \left (t \right ), y^{\prime }\left (t \right ) = 1+y \left (t \right )^{2}, z^{\prime }\left (t \right ) = z \left (t \right )]
\]
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| \[
{} [t^{2} y^{\prime \prime }\left (t \right )+t z^{\prime }\left (t \right )+z \left (t \right ) = t, t y^{\prime }\left (t \right )+z \left (t \right ) = \ln \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right ) = y \left (t \right ), y^{\prime }\left (t \right ) = z \left (t \right ), z^{\prime }\left (t \right ) = x \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right ) = y \left (t \right )+z \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )+z \left (t \right ), z^{\prime }\left (t \right ) = x \left (t \right )+y \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right ) = y \left (t \right ), y^{\prime }\left (t \right ) = -x \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right )+x \left (t \right )-5 y \left (t \right ) = 0, y^{\prime }\left (t \right )+4 x \left (t \right )+5 y \left (t \right ) = 0]
\]
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| \[
{} [x^{\prime }\left (t \right )+3 y^{\prime }\left (t \right )+y \left (t \right ) = {\mathrm e}^{t}, -x \left (t \right )+y^{\prime }\left (t \right ) = y \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right )-3 x \left (t \right )-6 y \left (t \right ) = 27 t^{2}, x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-3 y \left (t \right ) = 5 \,{\mathrm e}^{t}]
\]
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| \[
{} [x^{\prime \prime }\left (t \right ) = -2 y \left (t \right ), y^{\prime }\left (t \right ) = y \left (t \right )-x^{\prime }\left (t \right )]
\]
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| \[
{} [y^{\prime \prime }\left (t \right ) = x \left (t \right )-2, x^{\prime \prime }\left (t \right ) = y \left (t \right )+2]
\]
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| \[
{} [x^{\prime }\left (t \right )+y^{\prime }\left (t \right ) = \cos \left (t \right ), x \left (t \right )+y^{\prime \prime }\left (t \right ) = 2]
\]
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| \[
{} [x^{\prime }\left (t \right ) = x \left (t \right )+y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )-y \left (t \right ), z^{\prime }\left (t \right ) = 2 y \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right ) = x \left (t \right )+y \left (t \right )+z \left (t \right ), y^{\prime }\left (t \right ) = 2 x \left (t \right )+5 y \left (t \right )+3 z \left (t \right ), z^{\prime }\left (t \right ) = 3 x \left (t \right )+9 y \left (t \right )+5 z \left (t \right )]
\]
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| \[
{} [x^{\prime \prime }\left (t \right ) = y \left (t \right )+4 \,{\mathrm e}^{-2 t}, y^{\prime \prime }\left (t \right ) = x \left (t \right )-{\mathrm e}^{-2 t}]
\]
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| \[
{} [x^{\prime }\left (t \right )+6 x \left (t \right )+3 y^{\prime }\left (t \right )+2 y \left (t \right ) = 0, x^{\prime }\left (t \right )+5 x \left (t \right )+2 y^{\prime }\left (t \right )+3 y \left (t \right ) = 0]
\]
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| \[
{} [x^{\prime }\left (t \right )-x \left (t \right )+2 y^{\prime }\left (t \right )+7 y \left (t \right ) = 0, 2 x^{\prime }\left (t \right )+y^{\prime }\left (t \right )+x \left (t \right )+5 y \left (t \right ) = 0]
\]
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| \[
{} [x^{\prime }\left (t \right )+5 x \left (t \right )+3 y^{\prime }\left (t \right )-11 y \left (t \right ) = 0, x^{\prime }\left (t \right )+3 x \left (t \right )+y^{\prime }\left (t \right )-7 y \left (t \right ) = 0]
\]
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| \[
{} [x^{\prime }\left (t \right )-2 x \left (t \right )+4 y \left (t \right ) = 0, 3 x \left (t \right )+2 y^{\prime }\left (t \right )+y \left (t \right ) = 0]
\]
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| \[
{} [x^{\prime }\left (t \right )+3 x \left (t \right )+2 y \left (t \right ) = 0, 3 x \left (t \right )+y^{\prime }\left (t \right )+y \left (t \right ) = 0]
\]
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| \[
{} [x^{\prime }\left (t \right )+4 x \left (t \right )+3 y^{\prime }\left (t \right )+4 y \left (t \right ) = 0, x^{\prime }\left (t \right )+2 x \left (t \right )+2 y^{\prime }\left (t \right )+2 y \left (t \right ) = 0]
\]
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| \[
{} [x^{\prime }\left (t \right )+x \left (t \right )+2 y^{\prime }\left (t \right )+3 y \left (t \right ) = 0, x^{\prime }\left (t \right )-2 x \left (t \right )+5 y^{\prime }\left (t \right ) = 0]
\]
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| \[
{} [x^{\prime }\left (t \right )-x \left (t \right )-y \left (t \right ) = 0, 5 x \left (t \right )+y^{\prime }\left (t \right )-3 y \left (t \right ) = 0]
\]
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| \[
{} [2 x \left (t \right )-y^{\prime }\left (t \right )-5 y \left (t \right ) = 0, x^{\prime }\left (t \right )+x \left (t \right )+2 y \left (t \right ) = 0]
\]
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| \[
{} [2 x^{\prime }\left (t \right )-6 x \left (t \right )+3 y^{\prime }\left (t \right )-2 y \left (t \right ) = 0, 7 x^{\prime }\left (t \right )+4 x \left (t \right )+7 y^{\prime }\left (t \right )+20 y \left (t \right ) = 0]
\]
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| \[
{} [x^{\prime }\left (t \right )+x \left (t \right )+2 y \left (t \right ) = 8, 2 x \left (t \right )+y^{\prime }\left (t \right )-2 y \left (t \right ) = 2 \,{\mathrm e}^{-t}-8]
\]
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| \[
{} [x^{\prime }\left (t \right )+2 y \left (t \right ) = 4 \,{\mathrm e}^{2 t}, x \left (t \right )+y^{\prime }\left (t \right )-y \left (t \right ) = 2 \,{\mathrm e}^{2 t}]
\]
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| \[
{} [x^{\prime }\left (t \right )-x \left (t \right )+2 y^{\prime }\left (t \right )+7 y \left (t \right ) = 3 t -15, 2 x^{\prime }\left (t \right )+y^{\prime }\left (t \right )+x \left (t \right )+5 y \left (t \right ) = 9 t -7]
\]
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| \[
{} [x^{\prime }\left (t \right )+3 x \left (t \right )-y^{\prime }\left (t \right )-y \left (t \right ) = 0, 2 x^{\prime }\left (t \right )-9 x \left (t \right )+y^{\prime }\left (t \right )+4 y \left (t \right ) = 15 \,{\mathrm e}^{-3 t}]
\]
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| \[
{} [3 x \left (t \right )-y^{\prime }\left (t \right )-2 y \left (t \right ) = 8 t, x^{\prime }\left (t \right )-2 x \left (t \right )+y \left (t \right ) = 16 \,{\mathrm e}^{-t}]
\]
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| \[
{} [2 x^{\prime }\left (t \right )-x \left (t \right )-y^{\prime }\left (t \right )+y \left (t \right ) = 4 t \,{\mathrm e}^{-t}-3 \,{\mathrm e}^{-t}, x^{\prime }\left (t \right )+4 x \left (t \right )-2 y^{\prime }\left (t \right )-4 y \left (t \right ) = 2 t \,{\mathrm e}^{-t}-6 \,{\mathrm e}^{-t}]
\]
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| \[
{} [2 x^{\prime }\left (t \right )-x \left (t \right )+7 y^{\prime }\left (t \right )+3 y \left (t \right ) = 90 \sin \left (2 t \right ), x^{\prime }\left (t \right )-5 x \left (t \right )+8 y^{\prime }\left (t \right )-3 y \left (t \right ) = 0]
\]
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| \[
{} [x^{\prime \prime }\left (t \right ) = y \left (t \right )+4 \,{\mathrm e}^{-2 t}, y^{\prime \prime }\left (t \right ) = x \left (t \right )-{\mathrm e}^{-2 t}]
\]
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| \[
{} [x^{\prime }\left (t \right )-5 x \left (t \right )+y^{\prime }\left (t \right )+2 z \left (t \right ) = 24 \,{\mathrm e}^{-t}, x^{\prime }\left (t \right )-x \left (t \right )-y \left (t \right ) = 0, 5 y^{\prime }\left (t \right )-11 y \left (t \right )+2 z^{\prime }\left (t \right )-2 z \left (t \right ) = 0]
\]
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| \[
{} [x^{\prime }\left (t \right )+3 x \left (t \right )-2 y \left (t \right ) = {\mathrm e}^{-t}, y^{\prime }\left (t \right )-x \left (t \right )+4 y \left (t \right ) = \sin \left (2 t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right )-x \left (t \right )+2 y \left (t \right )-z \left (t \right ) = t^{2}, y^{\prime }\left (t \right )+3 x \left (t \right )-y \left (t \right )+4 z \left (t \right ) = {\mathrm e}^{t}, z^{\prime }\left (t \right )-2 x \left (t \right )+y \left (t \right )-z \left (t \right ) = 0]
\]
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| \[
{} [z \left (t \right )+x^{\prime }\left (t \right ) = x \left (t \right ), y^{\prime }\left (t \right )-2 x \left (t \right ) = y \left (t \right )+3 t, z^{\prime }\left (t \right )+4 y \left (t \right ) = z \left (t \right )-\cos \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right )+5 x \left (t \right )-4 y \left (t \right ) = 0, y^{\prime }\left (t \right )-x \left (t \right )+2 y \left (t \right ) = 0]
\]
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| \[
{} [x^{\prime }\left (t \right )+x \left (t \right )-5 y \left (t \right ) = 0, y^{\prime }\left (t \right )+4 x \left (t \right )+5 y \left (t \right ) = 0]
\]
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| \[
{} [x^{\prime }\left (t \right )-2 x \left (t \right )+3 y \left (t \right ) = 0, -2 x \left (t \right )+y^{\prime }\left (t \right )+3 y \left (t \right ) = 0]
\]
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| \[
{} [x^{\prime }\left (t \right )+3 x \left (t \right )-6 y \left (t \right ) = 0, y^{\prime }\left (t \right ) = x \left (t \right )-3 y \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right ) = x \left (t \right )+8 y \left (t \right ), y^{\prime }\left (t \right ) = -2 x \left (t \right )-7 y \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right ) = -12 x \left (t \right )-7 y \left (t \right ), y^{\prime }\left (t \right ) = 19 x \left (t \right )+11 y \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right )-y \left (t \right ) = t, x \left (t \right )+y^{\prime }\left (t \right ) = t^{2}]
\]
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| \[
{} [x^{\prime }\left (t \right )+3 x \left (t \right )+4 y \left (t \right ) = 8 \,{\mathrm e}^{t}, -x \left (t \right )+y^{\prime }\left (t \right )-y \left (t \right ) = 0]
\]
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| \[
{} [x^{\prime }\left (t \right )-2 x \left (t \right )+y \left (t \right ) = {\mathrm e}^{-t}, y^{\prime }\left (t \right )-3 x \left (t \right )+2 y \left (t \right ) = t]
\]
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| \[
{} [x^{\prime }\left (t \right )+2 x \left (t \right )-y \left (t \right ) = 100 \sin \left (t \right ), y^{\prime }\left (t \right )-4 x \left (t \right )-y \left (t \right ) = 36 t]
\]
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| \[
{} [x^{\prime }\left (t \right )-3 x \left (t \right )-6 y \left (t \right ) = 9-9 t, y^{\prime }\left (t \right )+3 x \left (t \right )+3 y \left (t \right ) = 9 t \,{\mathrm e}^{-3 t}]
\]
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| \[
{} [x^{\prime }\left (t \right ) = 2 x \left (t \right )-3 y \left (t \right )+t \,{\mathrm e}^{-t}, y^{\prime }\left (t \right ) = 2 x \left (t \right )-3 y \left (t \right )+{\mathrm e}^{-t}]
\]
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| \[
{} [x^{\prime }\left (t \right )+4 x \left (t \right )+2 y \left (t \right )-z \left (t \right ) = 12 \,{\mathrm e}^{t}, y^{\prime }\left (t \right )-2 x \left (t \right )-5 y \left (t \right )+3 z \left (t \right ) = 0, z^{\prime }\left (t \right )+4 x \left (t \right )+z \left (t \right ) = 30 \,{\mathrm e}^{-t}]
\]
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| \[
{} [x^{\prime }\left (t \right )+y \left (t \right ) = 4, x \left (t \right )-y^{\prime }\left (t \right ) = 3]
\]
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| \[
{} [x^{\prime \prime }\left (t \right )+y^{\prime \prime }\left (t \right ) = t, x^{\prime \prime }\left (t \right )-y^{\prime \prime }\left (t \right ) = 3 t]
\]
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| \[
{} [4 x^{\prime }\left (t \right )-2 y \left (t \right ) = \cos \left (2 t \right ), x \left (t \right )-2 y^{\prime }\left (t \right ) = 0]
\]
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| \[
{} [x^{\prime }\left (t \right )+2 x \left (t \right )+y^{\prime }\left (t \right )+y \left (t \right ) = {\mathrm e}^{-3 t}, 5 x \left (t \right )+y^{\prime }\left (t \right )+3 y \left (t \right ) = 5 \,{\mathrm e}^{-t}]
\]
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| \[
{} [4 x^{\prime }\left (t \right )+2 y^{\prime }\left (t \right )+3 x \left (t \right ) = E \sin \left (t \right ), 4 x \left (t \right )+2 x^{\prime }\left (t \right )+3 y \left (t \right ) = 0]
\]
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| \[
{} [x^{\prime \prime }\left (t \right )+y^{\prime }\left (t \right )+6 x \left (t \right ) = 0, y^{\prime \prime }\left (t \right )-x^{\prime }\left (t \right )+6 y \left (t \right ) = 0]
\]
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| \[
{} [x_{1}^{\prime }\left (t \right ) = 2 x_{1} \left (t \right )+x_{2} \left (t \right ), x_{2}^{\prime }\left (t \right ) = -3 x_{1} \left (t \right )+6 x_{2} \left (t \right )]
\]
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| \[
{} [x_{1}^{\prime }\left (t \right ) = -3 x_{1} \left (t \right )+4 x_{2} \left (t \right ), x_{2}^{\prime }\left (t \right ) = -2 x_{1} \left (t \right )+3 x_{2} \left (t \right )]
\]
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| \[
{} \left [x_{1}^{\prime }\left (t \right ) = 2 \sin \left (t \right ) x_{1} \left (t \right )+\ln \left (t \right ) x_{2} \left (t \right ), x_{2}^{\prime }\left (t \right ) = \frac {x_{1} \left (t \right )}{t -2}+\frac {{\mathrm e}^{t} x_{2} \left (t \right )}{t +1}\right ]
\]
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| \[
{} [x^{\prime }\left (t \right ) = 5 x \left (t \right )-6 y \left (t \right )+1, y^{\prime }\left (t \right ) = 6 x \left (t \right )-7 y \left (t \right )+1]
\]
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| \[
{} [x^{\prime }\left (t \right ) = 5 x \left (t \right )-6 y \left (t \right ), y^{\prime }\left (t \right ) = 6 x \left (t \right )-7 y \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right ) = -2 x \left (t \right )+y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )-2 y \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right ) = 3 x \left (t \right )-2 y \left (t \right ), y^{\prime }\left (t \right ) = 2 x \left (t \right )-2 y \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right ) = x \left (t \right )+y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )-y \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right ) = y \left (t \right ), y^{\prime }\left (t \right ) = -x \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right ) = -x \left (t \right )+y \left (t \right ), y^{\prime }\left (t \right ) = -x \left (t \right )-y \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right ) = y \left (t \right )-z \left (t \right ), y^{\prime }\left (t \right ) = -x \left (t \right )+z \left (t \right ), z^{\prime }\left (t \right ) = x \left (t \right )-y \left (t \right )]
\]
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| \[
{} \left [x_{1}^{\prime }\left (t \right ) = x_{1} \left (t \right )+\left (1-t \right ) x_{2} \left (t \right ), x_{2}^{\prime }\left (t \right ) = \frac {x_{1} \left (t \right )}{t}-x_{2} \left (t \right )\right ]
\]
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| \[
{} [x_{1}^{\prime }\left (t \right ) = x_{2} \left (t \right )-x_{3} \left (t \right )+x_{4} \left (t \right ), x_{2}^{\prime }\left (t \right ) = -x_{2} \left (t \right )+x_{4} \left (t \right ), x_{3}^{\prime }\left (t \right ) = x_{3} \left (t \right )-x_{4} \left (t \right ), x_{4}^{\prime }\left (t \right ) = 2 x_{4} \left (t \right )]
\]
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| \[
{} [x_{1}^{\prime }\left (t \right ) = 5 x_{1} \left (t \right )+2 x_{2} \left (t \right )+2 x_{3} \left (t \right ), x_{2}^{\prime }\left (t \right ) = 2 x_{1} \left (t \right )+2 x_{2} \left (t \right )-4 x_{3} \left (t \right ), x_{3}^{\prime }\left (t \right ) = 2 x_{1} \left (t \right )-4 x_{2} \left (t \right )+2 x_{3} \left (t \right )]
\]
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| \[
{} [x_{1}^{\prime }\left (t \right ) = -10 x_{1} \left (t \right )+x_{2} \left (t \right )+7 x_{3} \left (t \right ), x_{2}^{\prime }\left (t \right ) = -9 x_{1} \left (t \right )+4 x_{2} \left (t \right )+5 x_{3} \left (t \right ), x_{3}^{\prime }\left (t \right ) = -17 x_{1} \left (t \right )+x_{2} \left (t \right )+12 x_{3} \left (t \right )]
\]
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| \[
{} [x_{1}^{\prime }\left (t \right ) = 4 x_{1} \left (t \right )-x_{2} \left (t \right ), x_{2}^{\prime }\left (t \right ) = 2 x_{1} \left (t \right )+x_{2} \left (t \right )]
\]
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| \[
{} [x_{1}^{\prime }\left (t \right ) = 3 x_{1} \left (t \right )-2 x_{2} \left (t \right ), x_{2}^{\prime }\left (t \right ) = x_{1} \left (t \right )]
\]
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|
| \[
{} [x_{1}^{\prime }\left (t \right ) = 4 x_{1} \left (t \right )-x_{2} \left (t \right )+3 \,{\mathrm e}^{2 t}, x_{2}^{\prime }\left (t \right ) = 2 x_{1} \left (t \right )+x_{2} \left (t \right )+2 t]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x_{1}^{\prime }\left (t \right ) = 3 x_{1} \left (t \right )-2 x_{2} \left (t \right )+1, x_{2}^{\prime }\left (t \right ) = x_{1} \left (t \right )+t]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x^{\prime }\left (t \right ) = 5 x \left (t \right )-6 y \left (t \right )+1, y^{\prime }\left (t \right ) = 6 x \left (t \right )-7 y \left (t \right )+1]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [t x^{\prime }\left (t \right ) = 3 x \left (t \right )-2 y \left (t \right ), t y^{\prime }\left (t \right ) = x \left (t \right )+y \left (t \right )-t^{2}]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x^{\prime }\left (t \right ) = 3 x \left (t \right )-2 y \left (t \right )+2 t^{2}, y^{\prime }\left (t \right ) = 5 x \left (t \right )+y \left (t \right )-1]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x_{1}^{\prime }\left (t \right ) = x_{1} \left (t \right )+2 x_{2} \left (t \right ), x_{2}^{\prime }\left (t \right ) = 4 x_{1} \left (t \right )+x_{2} \left (t \right )]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [N_{1}^{\prime }\left (t \right ) = 4 N_{1} \left (t \right )-6 N_{2} \left (t \right ), N_{2}^{\prime }\left (t \right ) = 8 N_{1} \left (t \right )-10 N_{2} \left (t \right )]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x_{1}^{\prime }\left (t \right ) = 4 x_{1} \left (t \right )-x_{2} \left (t \right ), x_{2}^{\prime }\left (t \right ) = 2 x_{1} \left (t \right )+x_{2} \left (t \right )]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x_{1}^{\prime }\left (t \right ) = 3 x_{1} \left (t \right )-2 x_{2} \left (t \right ), x_{2}^{\prime }\left (t \right ) = x_{1} \left (t \right )]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x_{1}^{\prime }\left (t \right ) = 4 x_{1} \left (t \right )-x_{2} \left (t \right )+3 \,{\mathrm e}^{2 t}, x_{2}^{\prime }\left (t \right ) = 2 x_{1} \left (t \right )+x_{2} \left (t \right )+2 t]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x_{1}^{\prime }\left (t \right ) = 3 x_{1} \left (t \right )-2 x_{2} \left (t \right )+1, x_{2}^{\prime }\left (t \right ) = x_{1} \left (t \right )+t]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x^{\prime }\left (t \right ) = 5 x \left (t \right )-6 y \left (t \right )+1, y^{\prime }\left (t \right ) = 6 x \left (t \right )-7 y \left (t \right )+1]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [t x^{\prime }\left (t \right ) = 3 x \left (t \right )-2 y \left (t \right ), t y^{\prime }\left (t \right ) = x \left (t \right )+y \left (t \right )-t^{2}]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x^{\prime }\left (t \right ) = 3 x \left (t \right )-2 y \left (t \right )+2 t^{2}, y^{\prime }\left (t \right ) = 5 x \left (t \right )+y \left (t \right )-1]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x^{\prime }\left (t \right ) = x \left (t \right )+2 y \left (t \right ), y^{\prime }\left (t \right ) = 4 x \left (t \right )-y \left (t \right )]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x^{\prime }\left (t \right ) = -x \left (t \right ), y^{\prime }\left (t \right ) = -y \left (t \right )]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x^{\prime }\left (t \right ) = -2 x \left (t \right )+y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )-2 y \left (t \right )]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x^{\prime }\left (t \right ) = 3 x \left (t \right )-2 y \left (t \right ), y^{\prime }\left (t \right ) = 2 x \left (t \right )-2 y \left (t \right )]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x^{\prime }\left (t \right ) = -x \left (t \right ), y^{\prime }\left (t \right ) = -x \left (t \right )-y \left (t \right )]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x^{\prime }\left (t \right ) = -x \left (t \right )+y \left (t \right ), y^{\prime }\left (t \right ) = -x \left (t \right )-y \left (t \right )]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x^{\prime }\left (t \right ) = y \left (t \right ), y^{\prime }\left (t \right ) = -x \left (t \right )]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x^{\prime }\left (t \right ) = y \left (t \right ), y^{\prime }\left (t \right ) = -x \left (t \right )+2 y \left (t \right )]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x^{\prime }\left (t \right ) = 2 x \left (t \right )-y \left (t \right ), y^{\prime }\left (t \right ) = 9 x \left (t \right )+2 y \left (t \right )]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x^{\prime }\left (t \right ) = 2 x \left (t \right )+y \left (t \right ), y^{\prime }\left (t \right ) = -3 x \left (t \right )+6 y \left (t \right )]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} [x^{\prime }\left (t \right ) = y \left (t \right ), y^{\prime }\left (t \right ) = z \left (t \right ), z^{\prime }\left (t \right ) = x \left (t \right )]
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left [c_{1}^{\prime }\left (t \right ) = -\frac {k c_{1} \left (t \right )}{V_{1}}+\frac {k c_{2} \left (t \right )}{V_{1}}, c_{2}^{\prime }\left (t \right ) = \frac {k c_{1} \left (t \right )}{V_{2}}-\frac {k c_{2} \left (t \right )}{V_{2}}\right ]
\]
|
✓ |
✓ |
✓ |
|