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ODE |
Mathematica result |
Maple result |
\[ {}y^{\prime \prime \prime }-7 y^{\prime }+6 y = 0 \] |
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\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0 \] |
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\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }-17 y^{\prime }+60 y = 0 \] |
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\[ {}y^{\prime \prime \prime }-9 y^{\prime \prime }+23 y^{\prime }-15 y = 0 \] |
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\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-7 y^{\prime \prime }-y^{\prime }+6 y = 0 \] |
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\[ {}2 y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }-20 y^{\prime \prime }+27 y^{\prime }+18 y = 0 \] |
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\[ {}12 y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime } = 0 \] |
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\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }+3 y^{\prime } = 0 \] |
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\[ {}4 y^{\prime \prime \prime }+2 y^{\prime \prime }-4 y^{\prime }+y = 0 \] |
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\[ {}y^{\prime \prime \prime }-5 y^{\prime \prime }-2 y^{\prime }+24 y = 0 \] |
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\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-7 y^{\prime \prime }-8 y^{\prime }+12 y = 0 \] |
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\[ {}y^{\left (5\right )}-3 y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+15 y^{\prime \prime }+4 y^{\prime }-12 y = 0 \] |
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\[ {}y^{\left (5\right )}+y^{\prime \prime \prime \prime }-13 y^{\prime \prime \prime }-13 y^{\prime \prime }+36 y^{\prime }+36 y = 0 \] |
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\[ {}y^{\left (5\right )}+3 y^{\prime \prime \prime \prime }-15 y^{\prime \prime \prime }-19 y^{\prime \prime }+30 y^{\prime } = 0 \] |
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\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-4 y = 0 \] |
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\[ {}y^{\left (5\right )}+3 y^{\prime \prime \prime }+2 y^{\prime } = 0 \] |
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\[ {}y^{\prime \prime }-2 y^{\prime }+y = 0 \] |
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\[ {}y^{\prime \prime } = 0 \] |
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\[ {}2 y^{\prime \prime \prime }+y^{\prime \prime }-4 y^{\prime }-3 y = 0 \] |
✓ |
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\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0 \] |
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\[ {}y^{\prime \prime \prime \prime } = 0 \] |
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\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = 0 \] |
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\[ {}4 y^{\prime \prime \prime }-3 y^{\prime }+y = 0 \] |
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\[ {}4 y^{\left (5\right )}-3 y^{\prime \prime \prime }-y^{\prime \prime } = 0 \] |
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\[ {}y^{\prime \prime \prime }-7 y^{\prime \prime }+16 y^{\prime }-12 y = 0 \] |
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\[ {}4 y^{\prime \prime \prime }-8 y^{\prime \prime }+5 y^{\prime }-y = 0 \] |
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\[ {}y^{\prime \prime \prime \prime }-y = 0 \] |
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\[ {}y^{\prime \prime \prime }-8 y = 0 \] |
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\[ {}y^{\prime \prime }-2 y^{\prime }+3 y = 0 \] |
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\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime }-20 y = 0 \] |
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\[ {}y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+6 y = 0 \] |
✓ |
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\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-8 y^{\prime }+8 y = 0 \] |
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\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }-6 y^{\prime }+2 y = 0 \] |
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\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }-4 y = 0 \] |
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\[ {}2 y^{\prime \prime \prime }-3 y^{\prime \prime }+10 y^{\prime }-15 y = 0 \] |
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\[ {}2 y^{\prime \prime \prime }-3 y^{\prime \prime }+11 y^{\prime }-40 y = 0 \] |
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\[ {}y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+4 y^{\prime \prime }-12 y^{\prime }+16 y = 0 \] |
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\[ {}4 y^{\prime \prime \prime }+12 y^{\prime \prime }-3 y^{\prime }+14 y = 0 \] |
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\[ {}y^{\left (5\right )}-y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }-6 y^{\prime \prime }+8 y^{\prime }-8 y = 0 \] |
✓ |
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\[ {}y^{\prime \prime }-4 y = 3 \cos \left (x \right ) \] |
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\[ {}y^{\prime \prime }+y = \sin \left (2 x \right ) \] |
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\[ {}y^{\prime \prime }+y^{\prime }-2 y = {\mathrm e}^{x} \] |
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\[ {}y^{\prime \prime }+3 y^{\prime }+2 y = {\mathrm e}^{-2 x} \] |
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\[ {}y^{\prime \prime }+y^{\prime }+y = \sin \left (x \right ) \] |
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\[ {}y^{\prime \prime }+y^{\prime }+y = x^{2} \] |
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\[ {}y^{\prime \prime }+3 y^{\prime }+2 y = x \,{\mathrm e}^{-x} \] |
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\[ {}y^{\prime \prime \prime \prime }-y = {\mathrm e}^{x} \] |
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\[ {}y^{\prime \prime }-4 y = x +{\mathrm e}^{2 x} \] |
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\[ {}y^{\prime \prime }-9 y = {\mathrm e}^{3 x}+\sin \left (3 x \right ) \] |
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\[ {}y^{\prime \prime }-y^{\prime }-6 y = x^{3} \] |
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\[ {}-2 y^{\prime \prime }+3 y = x \,{\mathrm e}^{x} \] |
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\[ {}y^{\prime \prime }+4 y = x \sin \left (x \right ) \] |
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\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime } = x^{2}+8 \] |
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\[ {}y^{\prime \prime }+y^{\prime }+y = {\mathrm e}^{x} \sin \left (3 x \right ) \] |
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\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-12 y = x +{\mathrm e}^{2 x} \] |
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\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }-4 y = {\mathrm e}^{4 x} \sin \left (x \right ) \] |
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\[ {}y^{\prime \prime }+4 y^{\prime }+4 y = x^{3} {\mathrm e}^{2 x} \] |
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\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime }-2 y = x \,{\mathrm e}^{2 x} \] |
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\[ {}y^{\prime \prime \prime \prime }+2 n^{2} y^{\prime \prime }+n^{4} y = \sin \left (k x \right ) \] |
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\[ {}y^{\prime \prime }+2 n y^{\prime }+n^{2} y = 5 \cos \left (6 x \right ) \] |
✓ |
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\[ {}y^{\prime \prime }+9 y = \left (1+\sin \left (3 x \right )\right ) \cos \left (2 x \right ) \] |
✓ |
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\[ {}y^{\prime \prime }+4 y^{\prime }+5 y = 2 x -{\mathrm e}^{-4 x}+\sin \left (2 x \right ) \] |
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\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime } = \left (2 x^{2}+x \right ) {\mathrm e}^{-2 x}+5 \cos \left (3 x \right ) \] |
✓ |
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\[ {}y^{\prime \prime }+4 y = 8 \sin \left (x \right )^{2} \] |
✓ |
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\[ {}y^{\prime \prime \prime \prime }+4 y = 5 \,{\mathrm e}^{2 x} \sin \left (3 x \right ) \] |
✓ |
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\[ {}y^{\prime \prime }-5 y^{\prime }-6 y = {\mathrm e}^{3 x} \] |
✓ |
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\[ {}y^{\prime \prime }+4 y = 12 \cos \left (x \right )^{2} \] |
✓ |
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\[ {}y^{\prime \prime }-3 y^{\prime }+2 y = x \,{\mathrm e}^{-x} \] |
✓ |
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\[ {}y^{\prime \prime }+y = {\mathrm e}^{x} \sin \left (x \right ) \] |
✓ |
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\[ {}2 y^{\prime \prime }+y^{\prime } = 8 \sin \left (2 x \right )+{\mathrm e}^{-x} \] |
✓ |
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\[ {}y^{\prime \prime }+y = 3 x \sin \left (x \right ) \] |
✓ |
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\[ {}2 y^{\prime \prime }+5 y^{\prime }-3 y = \sin \left (x \right )-8 x \] |
✓ |
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\[ {}8 y^{\prime \prime }-y = x \,{\mathrm e}^{-\frac {x}{2}} \] |
✓ |
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\[ {}y^{\prime \prime }+y = \sec \left (x \right ) \] |
✓ |
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\[ {}y^{\prime \prime }+4 y^{\prime }+4 y = {\mathrm e}^{x} \] |
✓ |
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\[ {}y^{\prime \prime }+4 y = x^{2} \] |
✓ |
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\[ {}y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{2 x} \] |
✓ |
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\[ {}y^{\prime \prime }+y = 4 \sin \left (2 x \right ) \] |
✓ |
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\[ {}y^{\prime \prime }+4 y = 2 x -2 \sin \left (2 x \right ) \] |
✓ |
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\[ {}y^{\prime \prime }-y = 3 x +5 \,{\mathrm e}^{x} \] |
✓ |
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\[ {}y^{\prime \prime }+9 y = {\mathrm e}^{x}+\sin \left (4 x \right ) \] |
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\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y^{\prime } = \cos \left (2 x \right ) \] |
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\[ {}y^{\prime \prime \prime }+4 y^{\prime \prime }-5 y^{\prime } = {\mathrm e}^{3 x} \] |
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\[ {}y^{\prime \prime }+y = \tan \left (x \right ) \] |
✓ |
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\[ {}y^{\prime \prime }+a^{2} y = \sec \left (a x \right ) \] |
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\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = {\mathrm e}^{2 x} \] |
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\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+y^{\prime \prime } = x^{2} \] |
✓ |
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\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime } = {\mathrm e}^{2 x}+\sin \left (x \right ) \] |
✓ |
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\[ {}y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{\left (1-x \right )^{2}} \] |
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\[ {}y^{\prime \prime }-3 y^{\prime }+2 y = \sin \left ({\mathrm e}^{-x}\right ) \] |
✓ |
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\[ {}y^{\prime \prime }+4 y = \sec \left (x \right ) \tan \left (x \right ) \] |
✓ |
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\[ {}y^{\prime \prime }-2 y = {\mathrm e}^{-x} \sin \left (2 x \right ) \] |
✓ |
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\[ {}y^{\prime \prime }+9 y = \sec \left (x \right ) \csc \left (x \right ) \] |
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\[ {}y^{\prime \prime }+9 y = \csc \left (2 x \right ) \] |
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\[ {}y^{\prime \prime }+y = \tan \left (\frac {x}{3}\right )^{2} \] |
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\[ {}y^{\prime \prime \prime }+y^{\prime } = \tan \left (x \right ) \] |
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\[ {}4 y^{\prime \prime }-4 y^{\prime }+y = {\mathrm e}^{\frac {x}{2}} \ln \left (x \right ) \] |
✓ |
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\[ {}y^{\prime }+P \left (x \right ) y = Q \left (x \right ) \] |
✓ |
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\[ {}y^{\prime \prime }-6 y^{\prime }+9 y = {\mathrm e}^{3 x} \] |
✓ |
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\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = {\mathrm e}^{x} \] |
✓ |
✓ |
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