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Mathematica |
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Sympy |
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\[
{} x y^{\prime \prime }+2 y^{\prime }+x y = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = x^{{3}/{2}} {\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime }+4 y = 2 \sec \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}+\left (1-\frac {1}{4 x^{2}}\right ) y = x
\]
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\[
{} y^{\prime \prime }+y = f \left (x \right )
\]
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\[
{} x^{2} y^{\prime \prime }+x \left (x -\frac {1}{2}\right ) y^{\prime }+\frac {y}{2} = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x \left (1+x \right ) y^{\prime }-y = 0
\]
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\[
{} y^{\prime \prime }-x^{2} y = 0
\]
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\[
{} x y^{\prime \prime }+y^{\prime }+y = 0
\]
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\[
{} x y^{\prime \prime }+x^{2} y = 0
\]
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\[
{} y^{\prime \prime }+\alpha ^{2} y = 0
\]
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\[
{} y^{\prime \prime }-\alpha ^{2} y = 0
\]
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\[
{} y^{\prime \prime }+\beta y^{\prime }+\gamma y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+n \left (n +1\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (-\nu ^{2}+x^{2}\right ) y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }-2 k y^{\prime }+k^{2} y = {\mathrm e}^{x}
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }-y a^{2} = 0
\]
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\[
{} y^{\prime \prime }+\frac {2 y^{\prime }}{x} = 0
\]
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\[
{} y^{\prime \prime } = y a^{2}
\]
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\[
{} x y^{\prime \prime }-y^{\prime } = x^{2} {\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime }+\tan \left (x \right ) y^{\prime } = \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime } = 9 y
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }-y = 0
\]
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\[
{} y^{\prime \prime }+12 y = 7 y^{\prime }
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+10 y = 0
\]
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\[
{} y^{\prime \prime }+3 y^{\prime }-2 y = 0
\]
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\[
{} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }-7 y^{\prime }+12 y = x
\]
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\[
{} s^{\prime \prime }-a^{2} s = t +1
\]
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\[
{} y^{\prime \prime }+y^{\prime }-2 y = 8 \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }-y = 5 x +2
\]
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\[
{} y^{\prime \prime }-2 a y^{\prime }+y a^{2} = {\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime }+6 y^{\prime }+5 y = {\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }+9 y = 6 \,{\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime }-3 y^{\prime } = 2-6 x
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+3 y = {\mathrm e}^{-x} \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }+4 y = 2 \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+2 h y^{\prime }+n^{2} y = 0
\]
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\[
{} y^{\prime \prime }+n^{2} y = h \sin \left (r x \right )
\]
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\[
{} y^{\prime \prime }-7 y^{\prime }+6 y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \sec \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \frac {1}{\cos \left (2 x \right )^{{3}/{2}}}
\]
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\[
{} y^{\prime \prime }+y = \sec \left (x \right )
\]
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\[
{} y^{\prime \prime }-4 y = {\mathrm e}^{2 x} \sin \left (2 x \right )
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+3 x y^{\prime }-y = 0
\]
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\[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-2 y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\]
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\[
{} y^{\prime \prime }-3 y^{\prime }-10 y = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime } = 0
\]
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\[
{} x^{2} y^{\prime \prime }+6 x y^{\prime }+4 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-6 y = 0
\]
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\[
{} y^{\prime \prime }-y = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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\[
{} 3 y^{\prime \prime }-2 y^{\prime }+4 y = x
\]
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\[
{} x \left (x -3\right ) y^{\prime \prime }+3 y^{\prime } = x^{2}
\]
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\[
{} x \left (x -3\right ) y^{\prime \prime }+3 y^{\prime } = x^{2}
\]
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\[
{} \sqrt {1-x}\, y^{\prime \prime }-4 y = \sin \left (x \right )
\]
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\[
{} \left (x^{2}-4\right ) y^{\prime \prime }+y \ln \left (x \right ) = {\mathrm e}^{x} x
\]
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\[
{} y^{\prime \prime }-y = 0
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\]
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\[
{} y^{\prime \prime }-y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }-4 y = 31
\]
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\[
{} y^{\prime \prime }+9 y = 27 x +18
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = -3 x -\frac {3}{x}
\]
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\[
{} 4 y^{\prime \prime }+4 y^{\prime }-3 y = 0
\]
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\[
{} y^{\prime \prime }+\alpha y = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+5 y = 0
\]
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\[
{} y^{\prime \prime }-9 y = 2 \sin \left (3 x \right )
\]
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\[
{} y^{\prime \prime }+9 y = 2 \sin \left (3 x \right )
\]
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\[
{} y^{\prime \prime }+y^{\prime }-2 y = {\mathrm e}^{x} x -3 x^{2}
\]
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\[
{} y^{\prime \prime }-9 y = x +2
\]
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\[
{} y^{\prime \prime }+9 y = x +2
\]
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\[
{} y^{\prime \prime }-y^{\prime }+6 y = -2 \sin \left (3 x \right )
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+2 y = -x^{2}+1
\]
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\[
{} y^{\prime \prime }+9 y = 1
\]
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\[
{} y^{\prime \prime }+9 y = 18 \,{\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = x^{2}
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = 2 \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = \left \{\begin {array}{cc} 1 & 2\le x <4 \\ 0 & \operatorname {otherwise} \end {array}\right .
\]
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\[
{} y^{\prime \prime }-2 y^{\prime } = \left \{\begin {array}{cc} 0 & 0\le x <1 \\ \left (x -1\right )^{2} & 1\le x \end {array}\right .
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = \left \{\begin {array}{cc} 0 & 0\le x <1 \\ x^{2}-2 x +3 & 1\le x \end {array}\right .
\]
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