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Mathematica |
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\[ {}y^{\prime \prime \prime }-y^{\prime \prime } = 3 t^{2} \] |
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\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime } = \sec \left (t \right )^{2} \] |
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\[ {}y^{\prime \prime \prime }+y^{\prime } = \sec \left (t \right ) \] |
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\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime } = \cos \left (t \right ) \] |
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\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime } = t \] |
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\[ {}t^{2} \ln \left (t \right ) y^{\prime \prime \prime }-t y^{\prime \prime }+y^{\prime } = 1 \] |
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\[ {}\left (t^{2}+t \right ) y^{\prime \prime \prime }+\left (-t^{2}+2\right ) y^{\prime \prime }-\left (2+t \right ) y^{\prime } = -2-t \] |
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\[ {}2 t^{3} y^{\prime \prime \prime }+t^{2} y^{\prime \prime }+t y^{\prime }-y = -3 t^{2} \] |
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\[ {}t y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime } = \frac {45}{8 t^{\frac {7}{2}}} \] |
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\[ {}4 x^{2} y^{\prime \prime }-8 x y^{\prime }+5 y = 0 \] |
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\[ {}3 x^{2} y^{\prime \prime }-4 x y^{\prime }+2 y = 0 \] |
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\[ {}2 x^{2} y^{\prime \prime }-8 x y^{\prime }+8 y = 0 \] |
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\[ {}2 x^{2} y^{\prime \prime }-7 x y^{\prime }+7 y = 0 \] |
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\[ {}4 x^{2} y^{\prime \prime }+17 y = 0 \] |
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\[ {}9 x^{2} y^{\prime \prime }-9 x y^{\prime }+10 y = 0 \] |
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\[ {}2 x^{2} y^{\prime \prime }-2 x y^{\prime }+20 y = 0 \] |
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\[ {}x^{2} y^{\prime \prime }-5 x y^{\prime }+10 y = 0 \] |
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\[ {}4 x^{2} y^{\prime \prime }+8 x y^{\prime }+y = 0 \] |
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\[ {}4 x^{2} y^{\prime \prime }+y = 0 \] |
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\[ {}x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0 \] |
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\[ {}x^{2} y^{\prime \prime }+7 x y^{\prime }+9 y = 0 \] |
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\[ {}x^{3} y^{\prime \prime \prime }+22 x^{2} y^{\prime \prime }+124 x y^{\prime }+140 y = 0 \] |
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\[ {}x^{3} y^{\prime \prime \prime }-4 x^{2} y^{\prime \prime }-46 x y^{\prime }+100 y = 0 \] |
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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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\[ {}x^{3} y^{\prime \prime \prime }+4 x^{2} y^{\prime \prime }+6 x y^{\prime }+4 y = 0 \] |
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\[ {}x^{3} y^{\prime \prime \prime }+2 x y^{\prime }-2 y = 0 \] |
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\[ {}x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-2 x y^{\prime }-2 y = 0 \] |
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\[ {}x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+7 x y^{\prime }+y = 0 \] |
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\[ {}x^{3} y^{\prime \prime \prime \prime }+6 x^{2} y^{\prime \prime \prime }+7 x y^{\prime \prime }+y^{\prime } = 0 \] |
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\[ {}x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y = \frac {1}{x^{5}} \] |
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\[ {}x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = x^{3} \] |
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\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+y = \frac {1}{x^{2}} \] |
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\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+4 y = \frac {1}{x^{2}} \] |
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\[ {}x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 2 x \] |
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\[ {}x^{2} y^{\prime \prime }+x y^{\prime }-16 y = \ln \left (x \right ) \] |
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\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+4 y = 8 \] |
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\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+36 y = x^{2} \] |
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\[ {}x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-11 x y^{\prime }+16 y = \frac {1}{x^{3}} \] |
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\[ {}x^{3} y^{\prime \prime \prime }+16 x^{2} y^{\prime \prime }+70 x y^{\prime }+80 y = \frac {1}{x^{13}} \] |
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\[ {}3 x^{2} y^{\prime \prime }-4 x y^{\prime }+2 y = 0 \] |
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\[ {}2 x^{2} y^{\prime \prime }-7 x y^{\prime }+7 y = 0 \] |
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\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+4 y = 0 \] |
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\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+2 y = 0 \] |
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\[ {}x^{3} y^{\prime \prime \prime }+10 x^{2} y^{\prime \prime }-20 x y^{\prime }+20 y = 0 \] |
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\[ {}x^{3} y^{\prime \prime \prime }+15 x^{2} y^{\prime \prime }+54 x y^{\prime }+42 y = 0 \] |
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\[ {}x^{3} y^{\prime \prime \prime }-2 x^{2} y^{\prime \prime }+5 x y^{\prime }-5 y = 0 \] |
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\[ {}x^{3} y^{\prime \prime \prime }-6 x^{2} y^{\prime \prime }+17 x y^{\prime }-17 y = 0 \] |
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\[ {}2 x^{2} y^{\prime \prime }+3 x y^{\prime }-y = \frac {1}{x^{2}} \] |
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\[ {}x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y = \ln \left (x \right ) \] |
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\[ {}4 x^{2} y^{\prime \prime }+y = x^{3} \] |
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\[ {}9 x^{2} y^{\prime \prime }+27 x y^{\prime }+10 y = \frac {1}{x} \] |
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\[ {}x^{2} y^{\prime \prime }-x y^{\prime }+2 y = 0 \] |
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\[ {}x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y = 0 \] |
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\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+y = 0 \] |
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\[ {}x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }+37 x y^{\prime } = 0 \] |
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\[ {}x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-3 x y^{\prime } = 0 \] |
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\[ {}x^{3} y^{\prime \prime \prime }+x y^{\prime }-y = 0 \] |
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\[ {}x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-3 x y^{\prime } = -8 \] |
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\[ {}\left (x^{2}+1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}+1\right ) y^{\prime }+4 y = 0 \] |
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\[ {}\left (x^{2}+1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}+1\right ) y^{\prime }+4 y = \arctan \left (x \right ) \] |
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\[ {}\left (x^{2}+1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}+1\right ) y^{\prime }+4 y = 0 \] |
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\[ {}\left (x^{2}+1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}+1\right ) y^{\prime }+4 y = \arctan \left (x \right ) \] |
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\[ {}\left (x^{4}-1\right ) y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }+\left (x^{2}-1\right ) y = 0 \] |
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\[ {}\left (x^{4}-1\right ) y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }+\left (4 x^{2}-4\right ) y = 0 \] |
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\[ {}\left (x^{4}-1\right ) y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }+\left (x^{2}-1\right ) y = 0 \] |
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\[ {}x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y = 0 \] |
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\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+y = x^{2} \] |
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\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+4 y = 0 \] |
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\[ {}x^{2} y^{\prime \prime }-x y^{\prime }+y = 0 \] |
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\[ {}x^{3} y^{\prime \prime \prime }+16 x^{2} y^{\prime \prime }+79 x y^{\prime }+125 y = 0 \] |
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\[ {}x^{4} y^{\prime \prime \prime \prime }+5 x^{3} y^{\prime \prime \prime }-12 x^{2} y^{\prime \prime }-12 x y^{\prime }+48 y = 0 \] |
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\[ {}x^{4} y^{\prime \prime \prime \prime }+14 x^{3} y^{\prime \prime \prime }+55 x^{2} y^{\prime \prime }+65 x y^{\prime }+15 y = 0 \] |
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\[ {}x^{4} y^{\prime \prime \prime \prime }+8 x^{3} y^{\prime \prime \prime }+27 x^{2} y^{\prime \prime }+35 x y^{\prime }+45 y = 0 \] |
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\[ {}x^{4} y^{\prime \prime \prime \prime }+10 x^{3} y^{\prime \prime \prime }+27 x^{2} y^{\prime \prime }+21 x y^{\prime }+4 y = 0 \] |
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\[ {}x^{3} y^{\prime \prime \prime }+9 x^{2} y^{\prime \prime }+44 x y^{\prime }+58 y = 0 \] |
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\[ {}6 x^{2} y^{\prime \prime }+5 x y^{\prime }-y = 0 \] |
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\[ {}x^{2} y^{\prime \prime }-2 x y^{\prime }+7 y = 0 \] |
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\[ {}\left (-2+x \right ) y^{\prime \prime }+y^{\prime }-y = 0 \] |
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\[ {}\left (x^{2}-4\right ) y^{\prime \prime }+16 \left (2+x \right ) y^{\prime }-y = 0 \] |
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\[ {}y^{\prime \prime }+3 y^{\prime }-18 y = 0 \] |
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\[ {}y^{\prime \prime }-11 y^{\prime }+30 y = 0 \] |
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\[ {}y^{\prime \prime }+y = 0 \] |
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\[ {}y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{-x} \] |
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\[ {}\left (-2-2 x \right ) y^{\prime \prime }+2 y^{\prime }+4 y = 0 \] |
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\[ {}\left (2+3 x \right ) y^{\prime \prime }+3 x y^{\prime } = 0 \] |
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\[ {}\left (3 x +1\right ) y^{\prime \prime }-3 y^{\prime }-2 y = 0 \] |
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\[ {}\left (-x^{2}+2\right ) y^{\prime \prime }+2 \left (-1+x \right ) y^{\prime }+4 y = 0 \] |
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\[ {}y^{\prime \prime }-x y^{\prime }+4 y = 0 \] |
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\[ {}\left (2 x^{2}+2\right ) y^{\prime \prime }+2 x y^{\prime }-3 y = 0 \] |
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\[ {}\left (3-2 x \right ) y^{\prime \prime }+2 y^{\prime }-2 y = 0 \] |
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\[ {}y^{\prime \prime }-4 x^{2} y = 0 \] |
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\[ {}\left (2 x^{2}-1\right ) y^{\prime \prime }+2 x y^{\prime }-3 y = 0 \] |
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\[ {}y^{\prime \prime }+x y^{\prime } = \sin \left (x \right ) \] |
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\[ {}y^{\prime \prime }+y^{\prime }+x y = \cos \left (x \right ) \] |
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\[ {}y^{\prime \prime }+\left (y^{2}-1\right ) y^{\prime }+y = 0 \] |
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\[ {}y^{\prime \prime }+\left (\frac {{y^{\prime }}^{2}}{3}-1\right ) y^{\prime }+y = 0 \] |
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\[ {}y^{\prime \prime }-2 x y^{\prime }+2 y = 0 \] |
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\[ {}y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \] |
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\[ {}\left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+y = 0 \] |
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\[ {}\left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+9 y = 0 \] |
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