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ODE |
Mathematica |
Maple |
Sympy |
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\[
{} y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = \left (2 x^{2}+4 x +8\right ) \cos \left (x \right )+\left (6 x^{2}+8 x +12\right ) \sin \left (x \right )
\]
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\[
{} y^{\left (6\right )}-12 y^{\left (5\right )}+63 y^{\prime \prime \prime \prime }-18 y^{\prime \prime \prime }+315 y^{\prime \prime }-300 y^{\prime }+125 y = {\mathrm e}^{x} \left (48 \cos \left (x \right )+96 \sin \left (x \right )\right )
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+12 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime }-y = 0
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 2 \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 3 x +4
\]
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\[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+y^{\prime \prime } = {\mathrm e}^{x} x -3 x^{2}
\]
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\[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime } = x +\cos \left (x \right )
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+4 y^{\prime }-4 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime } = 1
\]
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\[
{} y^{\prime \prime \prime } = y^{\prime \prime }
\]
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\[
{} x y^{\prime \prime \prime }+2 y^{\prime \prime } = 6 x
\]
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\[
{} y^{\prime \prime \prime } = 2 \sqrt {y^{\prime \prime }}
\]
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\[
{} y^{\prime \prime \prime \prime } = -2 y^{\prime \prime \prime }
\]
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\[
{} y^{\prime \prime \prime } = y^{\prime \prime }
\]
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\[
{} x y^{\prime \prime \prime }+2 y^{\prime \prime } = 6 x
\]
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\[
{} y^{\prime \prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+6 y^{\prime \prime }+3 y^{\prime }-83 y-25 = 0
\]
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\[
{} y y^{\prime \prime \prime }+6 y^{\prime \prime }+3 y^{\prime } = y
\]
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\[
{} y^{\prime \prime \prime }-9 y^{\prime \prime }+27 y^{\prime }-27 y = 0
\]
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\[
{} y^{\prime \prime \prime }-9 y^{\prime \prime }+27 y^{\prime }-27 y = {\mathrm e}^{3 x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+24 y^{\prime \prime }-32 y^{\prime }+16 y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }-4 y^{\prime \prime }+10 y^{\prime }-12 y = 0
\]
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\[
{} y^{\prime \prime \prime }+4 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-y = 0
\]
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\[
{} y^{\prime \prime \prime }-9 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-10 y^{\prime \prime }+9 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime } = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime } = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-34 y^{\prime \prime }+225 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-81 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-18 y^{\prime \prime }+81 y = 0
\]
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\[
{} y^{\left (5\right )}+18 y^{\prime \prime \prime }+81 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 0
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0
\]
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\[
{} y^{\prime \prime \prime }-8 y^{\prime \prime }+37 y^{\prime }-50 y = 0
\]
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\[
{} y^{\prime \prime \prime }-9 y^{\prime \prime }+31 y^{\prime }-39 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+2 y^{\prime \prime }+4 y^{\prime }-8 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+10 y^{\prime \prime }+18 y^{\prime }+9 y = 0
\]
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\[
{} y^{\prime \prime \prime }+4 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+26 y^{\prime \prime }+25 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+9 y^{\prime \prime }+9 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime }-8 y = 0
\]
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\[
{} y^{\prime \prime \prime }+216 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-3 y^{\prime \prime }-4 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+13 y^{\prime \prime }+36 y = 0
\]
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\[
{} y^{\left (6\right )}-3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-y = 0
\]
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\[
{} y^{\left (6\right )}-2 y^{\prime \prime \prime }+y = 0
\]
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\[
{} 16 y^{\prime \prime \prime \prime }-y = 0
\]
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\[
{} 4 y^{\prime \prime \prime \prime }+15 y^{\prime \prime }-4 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+16 y^{\prime }-16 y = 0
\]
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\[
{} y^{\left (6\right )}+16 y^{\prime \prime \prime }+64 y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-4 x y^{\prime }+4 y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }-5 x^{2} y^{\prime \prime }+14 x y^{\prime }-18 y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+7 x y^{\prime }-8 y = 0
\]
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\[
{} x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+15 x^{2} y^{\prime \prime }+9 x y^{\prime }+16 y = 0
\]
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\[
{} x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }-9 x y^{\prime }+9 y = 0
\]
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\[
{} x^{4} y^{\prime \prime \prime \prime }+2 x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+7 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+y^{\prime \prime } = 1
\]
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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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\[
{} y^{\prime \prime \prime }-4 y^{\prime } = 30 \,{\mathrm e}^{3 x}
\]
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\[
{} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = x^{3}
\]
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\[
{} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = {\mathrm e}^{-x^{2}}
\]
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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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\[
{} x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }-9 x y^{\prime }+9 y = 12 x \sin \left (x^{2}\right )
\]
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\[
{} y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 0
\]
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\[
{} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }+13 y^{\prime \prime \prime } = 0
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime } = 8
\]
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\[
{} y^{\prime \prime \prime \prime }-16 y = 0
\]
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\[
{} y^{\prime \prime \prime }+8 y = {\mathrm e}^{-2 x}
\]
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\[
{} y^{\left (6\right )}-64 y = {\mathrm e}^{-2 x}
\]
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\[
{} y^{\prime \prime \prime }-27 y = {\mathrm e}^{-3 t}
\]
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\[
{} y^{\prime \prime \prime }+9 y^{\prime } = \delta \left (t -1\right )
\]
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\[
{} y^{\prime \prime \prime \prime }-16 y = \delta \left (t \right )
\]
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\[
{} y^{\prime \prime \prime }-2 y^{\prime \prime }+5 y^{\prime }+y = {\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime \prime }-4 y^{\prime \prime } = 0
\]
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\[
{} y^{\prime \prime \prime }-2 y^{\prime \prime } = 0
\]
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\[
{} y^{\prime \prime \prime }-2 y^{\prime \prime } = 0
\]
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\[
{} y^{\prime \prime \prime }-4 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+\frac {25 y^{\prime \prime }}{2}-5 y^{\prime }+\frac {629 y}{16} = 0
\]
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\[
{} y^{\prime \prime \prime } = 0
\]
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\[
{} y^{\prime \prime \prime }-10 y^{\prime \prime }+25 y^{\prime } = 0
\]
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\[
{} 8 y^{\prime \prime \prime }+y^{\prime \prime } = 0
\]
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