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Mathematica |
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\[
{}x^{2} y^{\prime }+2 x y = \sinh \left (x \right )
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\[
{}y^{\prime }+\frac {y}{1-x}+2 x -x^{2} = 0
\] |
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\[
{}y^{\prime }+\frac {y}{1-x}+x -x^{2} = 0
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime } = x y+1
\] |
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\[
{}y^{\prime }+x y = x y^{2}
\] |
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\[
{}3 x y^{\prime }+y+x^{2} y^{4} = 0
\] |
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\[
{}x \left (1+x \right )^{2} y^{\prime \prime }+\left (-x^{2}+1\right ) y^{\prime }+\left (x -1\right ) y = 0
\] |
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\[
{}x \left (1-x \right ) y^{\prime \prime }+2 \left (1-2 x \right ) y^{\prime }-2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }-9 y = 0
\] |
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\[
{}x y^{\prime \prime }+\frac {y^{\prime }}{2}+2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\] |
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\[
{}2 x y^{\prime \prime }-y^{\prime }+2 y = 0
\] |
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\[
{}x y^{\prime \prime }+x y^{\prime }-2 y = 0
\] |
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\[
{}x \left (x -1\right )^{2} y^{\prime \prime }-2 y = 0
\] |
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\[
{}y^{\prime }-\frac {2 y}{x}-x^{2} = 0
\] |
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\[
{}y^{\prime }+\frac {2 y}{x}-x^{3} = 0
\] |
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\[
{}x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+m y = 0
\] |
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\[
{}x y^{\prime } = x^{2}+2 x -3
\] |
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\[
{}\left (1+x \right )^{2} y^{\prime } = 1+y^{2}
\] |
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\[
{}y^{\prime }+2 y = {\mathrm e}^{3 x}
\] |
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\[
{}x y^{\prime }-y = x^{2}
\] |
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\[
{}x^{2} y^{\prime } = x^{3} \sin \left (3 x \right )+4
\] |
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\[
{}x \cos \left (y\right ) y^{\prime }-\sin \left (y\right ) = 0
\] |
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\[
{}\left (x^{3}+x y^{2}\right ) y^{\prime } = 2 y^{3}
\] |
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\[
{}\left (x^{2}-1\right ) y^{\prime }+2 x y = x
\] |
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\[
{}y^{\prime }+y \tanh \left (x \right ) = 2 \sinh \left (x \right )
\] |
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\[
{}x y^{\prime }-2 y = x^{3} \cos \left (x \right )
\] |
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\[
{}y^{\prime }+\frac {y}{x} = y^{3}
\] |
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\[
{}x y^{\prime }+3 y = x^{2} y^{2}
\] |
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\[
{}x \left (-3+y\right ) y^{\prime } = 4 y
\] |
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\[
{}\left (x^{3}+1\right ) y^{\prime } = x^{2} y
\] |
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\[
{}x^{3}+\left (1+y\right )^{2} y^{\prime } = 0
\] |
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\[
{}\cos \left (y\right )+\left (1+{\mathrm e}^{-x}\right ) \sin \left (y\right ) y^{\prime } = 0
\] |
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\[
{}x^{2} \left (1+y\right )+y^{2} \left (x -1\right ) y^{\prime } = 0
\] |
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\[
{}\left (-x +2 y\right ) y^{\prime } = y+2 x
\] |
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\[
{}x y+y^{2}+\left (x^{2}-x y\right ) y^{\prime } = 0
\] |
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\[
{}y^{3}+x^{3} = 3 y^{2} y^{\prime } x
\] |
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\[
{}y-3 x +\left (4 y+3 x \right ) y^{\prime } = 0
\] |
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\[
{}\left (x^{3}+3 x y^{2}\right ) y^{\prime } = y^{3}+3 x^{2} y
\] |
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\[
{}x y^{\prime }-y = x^{3}+3 x^{2}-2 x
\] |
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\[
{}y^{\prime }+y \tan \left (x \right ) = \sin \left (x \right )
\] |
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\[
{}x y^{\prime }-y = x^{3} \cos \left (x \right )
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime }+3 x y = 5 x
\] |
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\[
{}y^{\prime }+y \cot \left (x \right ) = 5 \,{\mathrm e}^{\cos \left (x \right )}
\] |
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\[
{}\left (3 x +3 y-4\right ) y^{\prime } = -x -y
\] |
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\[
{}-x y^{2}+x = \left (x +x^{2} y\right ) y^{\prime }
\] |
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\[
{}x -y-1+\left (4 y+x -1\right ) y^{\prime } = 0
\] |
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\[
{}3 y-7 x +7+\left (7 y-3 x +3\right ) y^{\prime } = 0
\] |
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\[
{}y \left (x y+1\right )+x \left (1+x y+x^{2} y^{2}\right ) y^{\prime } = 0
\] |
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\[
{}y^{\prime }+y = x y^{3}
\] |
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\[
{}y^{\prime }+y = y^{4} {\mathrm e}^{x}
\] |
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\[
{}2 y^{\prime }+y = y^{3} \left (x -1\right )
\] |
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\[
{}y^{\prime }-2 y \tan \left (x \right ) = y^{2} \tan \left (x \right )^{2}
\] |
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\[
{}y^{\prime }+y \tan \left (x \right ) = y^{3} \sec \left (x \right )^{4}
\] |
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\[
{}\left (-x^{2}+1\right ) y^{\prime } = x y+1
\] |
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\[
{}x y y^{\prime }-\left (1+x \right ) \sqrt {y-1} = 0
\] |
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\[
{}x^{2}-2 x y+5 y^{2} = \left (y^{2}+2 x y+x^{2}\right ) y^{\prime }
\] |
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\[
{}y^{\prime }-y \cot \left (x \right ) = y^{2} \sec \left (x \right )^{2}
\] |
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\[
{}y+\left (x^{2}-4 x \right ) y^{\prime } = 0
\] |
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\[
{}y^{\prime }-y \tan \left (x \right ) = \cos \left (x \right )-2 x \sin \left (x \right )
\] |
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\[
{}y^{\prime } = \frac {2 x y+y^{2}}{x^{2}+2 x y}
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime } = x \left (1+y\right )
\] |
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\[
{}x y^{\prime }+2 y = 3 x -1
\] |
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\[
{}x^{2} y^{\prime } = y^{2}-x y y^{\prime }
\] |
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\[
{}y^{\prime } = {\mathrm e}^{3 x -2 y}
\] |
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\[
{}y^{\prime }+\frac {y}{x} = \sin \left (2 x \right )
\] |
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\[
{}y^{2}+x^{2} y^{\prime } = x y y^{\prime }
\] |
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\[
{}2 x y y^{\prime } = x^{2}-y^{2}
\] |
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\[
{}y^{\prime } = \frac {x -2 y+1}{2 x -4 y}
\] |
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\[
{}\left (-x^{3}+1\right ) y^{\prime }+x^{2} y = x^{2} \left (-x^{3}+1\right )
\] |
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\[
{}y^{\prime }+\frac {y}{x} = \sin \left (x \right )
\] |
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\[
{}y^{\prime }+x +x y^{2} = 0
\] |
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\[
{}y^{\prime }+\left (\frac {1}{x}-\frac {2 x}{-x^{2}+1}\right ) y = \frac {1}{-x^{2}+1}
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime }+x y = \left (x^{2}+1\right )^{{3}/{2}}
\] |
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\[
{}x \left (1+y^{2}\right )-y \left (x^{2}+1\right ) y^{\prime } = 0
\] |
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\[
{}\frac {r \tan \left (\theta \right ) r^{\prime }}{a^{2}-r^{2}} = 1
\] |
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\[
{}y^{\prime }+y \cot \left (x \right ) = \cos \left (x \right )
\] |
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\[
{}y^{\prime }+\frac {y}{x} = x y^{2}
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-2 y = 8
\] |
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\[
{}y^{\prime \prime }-4 y = 10 \,{\mathrm e}^{3 x}
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{-2 x}
\] |
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\[
{}y^{\prime \prime }+25 y = 5 x^{2}+x
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = 4 \sin \left (x \right )
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+5 y = 2 \,{\mathrm e}^{-2 x}
\] |
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\[
{}3 y^{\prime \prime }-2 y^{\prime }-y = 2 x -3
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+8 y = 8 \,{\mathrm e}^{4 x}
\] |
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\[
{}2 y^{\prime \prime }-7 y^{\prime }-4 y = {\mathrm e}^{3 x}
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+9 y = 54 x +18
\] |
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\[
{}y^{\prime \prime }-5 y^{\prime }+6 y = 100 \sin \left (4 x \right )
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+y = 4 \sinh \left (x \right )
\] |
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\[
{}y^{\prime \prime }+y^{\prime }-2 y = 2 \cosh \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }-y^{\prime }+10 y = 20-{\mathrm e}^{2 x}
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+4 y = 2 \cos \left (x \right )^{2}
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+3 y = x +{\mathrm e}^{2 x}
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+3 y = x^{2}-1
\] |
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\[
{}y^{\prime \prime }-9 y = {\mathrm e}^{3 x}+\sin \left (x \right )
\] |
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\[
{}x^{\prime \prime }+4 x^{\prime }+3 x = {\mathrm e}^{-3 t}
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+5 y = 6 \sin \left (t \right )
\] |
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\[
{}x^{\prime \prime }-3 x^{\prime }+2 x = \sin \left (t \right )
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = 3 \sin \left (x \right )
\] |
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