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Mathematica |
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\[
{}y^{\prime \prime }+6 y^{\prime }+10 y = 50 x
\] |
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\[
{}x^{\prime \prime }+2 x^{\prime }+2 x = 85 \sin \left (3 t \right )
\] |
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\[
{}y^{\prime \prime } = 3 \sin \left (x \right )-4 y
\] |
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\[
{}\frac {x^{\prime \prime }}{2} = -48 x
\] |
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\[
{}x^{\prime \prime }+5 x^{\prime }+6 x = \cos \left (t \right )
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-2 y = 4 x^{2}
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-2 y = \sin \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+25 y = 2 \sin \left (\frac {t}{2}\right )-\cos \left (\frac {t}{2}\right )
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+25 y = 64 \,{\mathrm e}^{-t}
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+25 y = 50 t^{3}-36 t^{2}-63 t +18
\] |
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\[
{}y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 2 x \,{\mathrm e}^{-x}
\] |
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\[
{}y^{\prime \prime } = 9 x^{2}+2 x -1
\] |
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\[
{}y^{\prime \prime }-5 y = 2 \,{\mathrm e}^{5 x}
\] |
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\[
{}y^{\prime }-5 y = \left (x -1\right ) \sin \left (x \right )+\left (1+x \right ) \cos \left (x \right )
\] |
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\[
{}y^{\prime }-5 y = 3 \,{\mathrm e}^{x}-2 x +1
\] |
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\[
{}y^{\prime }-5 y = {\mathrm e}^{x} x^{2}-x \,{\mathrm e}^{5 x}
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = x^{2}-1
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = 4 \,{\mathrm e}^{2 x}
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = 4 \cos \left (x \right )
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = 3 \,{\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = x \,{\mathrm e}^{x}
\] |
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\[
{}y^{\prime }-y = {\mathrm e}^{x}
\] |
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\[
{}y^{\prime }-y = {\mathrm e}^{2 x} x +1
\] |
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\[
{}y^{\prime }-y = \sin \left (x \right )+\cos \left (2 x \right )
\] |
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\[
{}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 1+{\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime \prime }+y^{\prime } = \sec \left (x \right )
\] |
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\[
{}y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = \frac {{\mathrm e}^{x}}{1+{\mathrm e}^{-x}}
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{x}
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\] |
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\[
{}x^{\prime \prime }+4 x = \sin \left (2 t \right )^{2}
\] |
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\[
{}t^{2} N^{\prime \prime }-2 t N^{\prime }+2 N = t \ln \left (t \right )
\] |
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\[
{}y^{\prime }+\frac {4 y}{x} = x^{4}
\] |
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\[
{}y^{\prime \prime \prime \prime } = 5 x
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{x^{5}}
\] |
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\[
{}y^{\prime \prime }+y = \sec \left (x \right )
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\] |
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\[
{}y^{\prime \prime }-60 y^{\prime }-900 y = 5 \,{\mathrm e}^{10 x}
\] |
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\[
{}y^{\prime \prime }-7 y^{\prime } = -3
\] |
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\[
{}y^{\prime \prime }+\frac {y^{\prime }}{x}-\frac {y}{x^{2}} = \ln \left (x \right )
\] |
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\[
{}x^{2} y^{\prime \prime }-x y^{\prime } = {\mathrm e}^{x} x^{3}
\] |
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\[
{}y^{\prime }-\frac {y}{x} = x^{2}
\] |
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\[
{}y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime }+2 y = 2
\] |
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\[
{}y^{\prime }+2 y = {\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }-y = 0
\] |
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\[
{}y^{\prime \prime }-y = \sin \left (x \right )
\] |
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\[
{}y^{\prime \prime }-y = {\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }-3 y = \sin \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }+y = \sin \left (x \right )
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+5 y = 3 \,{\mathrm e}^{-2 x}
\] |
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\[
{}y^{\prime \prime }+5 y^{\prime }-3 y = \operatorname {Heaviside}\left (x -4\right )
\] |
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\[
{}y^{\prime \prime \prime }-y = 5
\] |
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\[
{}y^{\prime \prime \prime \prime }-y = 0
\] |
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\[
{}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = {\mathrm e}^{x} x^{2}
\] |
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\[
{}x^{\prime \prime }+4 x^{\prime }+4 x = 0
\] |
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\[
{}q^{\prime \prime }+9 q^{\prime }+14 q = \frac {\sin \left (t \right )}{2}
\] |
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\[
{}\left (1+x \right ) y^{\prime \prime }+\frac {y^{\prime }}{x}+x y = 0
\] |
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\[
{}x^{3} y^{\prime \prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+x y = 0
\] |
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\[
{}y^{\prime \prime }-2 x y^{\prime }-2 y = 0
\] |
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\[
{}y^{\prime \prime }+x^{2} y^{\prime }+2 x y = 0
\] |
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\[
{}y^{\prime \prime }-x^{2} y^{\prime }-y = 0
\] |
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\[
{}y^{\prime \prime }+2 x^{2} y = 0
\] |
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\[
{}\left (x^{2}-1\right ) y^{\prime \prime }+x y^{\prime }-y = 0
\] |
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\[
{}y^{\prime \prime }-x y = 0
\] |
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\[
{}y^{\prime \prime }-2 x y^{\prime }+x^{2} y = 0
\] |
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\[
{}x y^{\prime } = 2 y
\] |
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\[
{}y y^{\prime }+x = 0
\] |
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\[
{}y = x y^{\prime }+{y^{\prime }}^{4}
\] |
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\[
{}2 x^{3} y^{\prime } = y \left (y^{2}+3 x^{2}\right )
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = 0
\] |
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\[
{}\left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-y = 0
\] |
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\[
{}y^{\prime \prime }-y = 4-x
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime }+2 y = 2 \,{\mathrm e}^{x} \left (1-x \right )
\] |
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\[
{}4 y+x y^{\prime } = 0
\] |
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\[
{}1+2 y+\left (-x^{2}+4\right ) y^{\prime } = 0
\] |
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\[
{}y^{2}-x^{2} y^{\prime } = 0
\] |
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\[
{}1+y-\left (1+x \right ) y^{\prime } = 0
\] |
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\[
{}x y^{2}+y+\left (x^{2} y-x \right ) y^{\prime } = 0
\] |
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\[
{}\sin \left (\frac {y}{x}\right ) x -y \cos \left (\frac {y}{x}\right )+x \cos \left (\frac {y}{x}\right ) y^{\prime } = 0
\] |
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\[
{}y^{2} \left (x^{2}+2\right )+\left (y^{3}+x^{3}\right ) \left (-x y^{\prime }+y\right ) = 0
\] |
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\[
{}y \sqrt {x^{2}+y^{2}}-x \left (\sqrt {x^{2}+y^{2}}+x \right ) y^{\prime } = 0
\] |
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\[
{}x +y+1+\left (2 x +2 y+1\right ) y^{\prime } = 0
\] |
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\[
{}1+2 y-\left (4-x \right ) y^{\prime } = 0
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime }+x y = 0
\] |
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\[
{}x +2 y+\left (2 x +3 y\right ) y^{\prime } = 0
\] |
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\[
{}2 x y^{\prime }-2 y = \sqrt {x^{2}+4 y^{2}}
\] |
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\[
{}3 y-7 x +7+\left (7 y-3 x +3\right ) y^{\prime } = 0
\] |
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\[
{}x y y^{\prime } = \left (1+y\right ) \left (1-x \right )
\] |
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\[
{}y^{2}-x^{2}+x y y^{\prime } = 0
\] |
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\[
{}y \left (1+2 x y\right )+x \left (1-x y\right ) y^{\prime } = 0
\] |
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\[
{}1+\left (-x^{2}+1\right ) \cot \left (y\right ) y^{\prime } = 0
\] |
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\[
{}x^{3}+y^{3}+3 y^{2} y^{\prime } x = 0
\] |
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\[
{}3 x +2 y+1-\left (3 x +2 y-1\right ) y^{\prime } = 0
\] |
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\[
{}x y^{\prime }+2 y = 0
\] |
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\[
{}x^{2}+y^{2}+x y y^{\prime } = 0
\] |
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