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Mathematica |
Maple |
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\[
{} y^{\prime \prime }+4 y = \tan \left (t \right )
\]
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\[
{} y^{\prime \prime }+9 y = \sec \left (3 t \right ) \tan \left (3 t \right )
\]
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\[
{} y^{\prime \prime }+4 y = \sec \left (2 t \right ) \tan \left (2 t \right )
\]
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\[
{} y^{\prime \prime }+9 y = \frac {\csc \left (3 t \right )}{2}
\]
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\[
{} y^{\prime \prime }+4 y = \sec \left (2 t \right )^{2}
\]
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\[
{} y^{\prime \prime }-16 y = 16 t \,{\mathrm e}^{-4 t}
\]
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\[
{} y^{\prime \prime }+y = \tan \left (t \right )^{2}
\]
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\[
{} y^{\prime \prime }+4 y = \sec \left (2 t \right )+\tan \left (2 t \right )
\]
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\[
{} y^{\prime \prime }+9 y = \csc \left (3 t \right )
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+3 y = 65 \cos \left (2 t \right )
\]
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\[
{} t^{2} y^{\prime \prime }+3 t y^{\prime }+y = \ln \left (t \right )
\]
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\[
{} t^{2} y^{\prime \prime }+t y^{\prime }+4 y = t
\]
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\[
{} t^{2} y^{\prime \prime }-4 t y^{\prime }-6 y = 2 \ln \left (t \right )
\]
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\[
{} 4 y^{\prime \prime }+4 y^{\prime }+y = {\mathrm e}^{-\frac {t}{2}}
\]
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\[
{} y^{\prime \prime }+4 y = f \left (t \right )
\]
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\[
{} t^{2} y^{\prime \prime }-4 t y^{\prime }+\left (t^{2}+6\right ) y = t^{3}+2 t
\]
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\[
{} t y^{\prime \prime }+2 y^{\prime }+t y = -t
\]
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\[
{} 4 t^{2} y^{\prime \prime }+4 t y^{\prime }+\left (16 t^{2}-1\right ) y = 16 t^{{3}/{2}}
\]
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\[
{} t^{2} \left (\ln \left (t \right )-1\right ) y^{\prime \prime }-t y^{\prime }+y = -\frac {3 \left (1+\ln \left (t \right )\right )}{4 \sqrt {t}}
\]
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\[
{} \left (\sin \left (t \right )-t \cos \left (t \right )\right ) y^{\prime \prime }-t \sin \left (t \right ) y^{\prime }+\sin \left (t \right ) y = t
\]
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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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\[
{} 2 x^{2} y^{\prime \prime }+3 x y^{\prime }-y = \frac {1}{x^{2}}
\]
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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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\[
{} \left (x^{2}+1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}+1\right ) y^{\prime }+4 y = \arctan \left (x \right )
\]
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\[
{} \left (x^{2}+1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}+1\right ) y^{\prime }+4 y = \arctan \left (x \right )
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = x^{2}
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }-8 y = -t
\]
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\[
{} y^{\prime \prime }+5 y^{\prime } = 5 t^{2}
\]
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\[
{} y^{\prime \prime }-4 y^{\prime } = -3 \sin \left (t \right )
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 3 \sin \left (2 t \right )
\]
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\[
{} y^{\prime \prime }-9 y = \frac {1}{1+{\mathrm e}^{3 t}}
\]
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\[
{} y^{\prime \prime }-2 y^{\prime } = \frac {1}{{\mathrm e}^{2 t}+1}
\]
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\[
{} y^{\prime \prime }-3 y^{\prime }+2 y = -4 \,{\mathrm e}^{-2 t}
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+13 y = 3 \,{\mathrm e}^{-2 t}
\]
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\[
{} y^{\prime \prime }+9 y^{\prime }+20 y = -2 t \,{\mathrm e}^{t}
\]
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\[
{} y^{\prime \prime }+7 y^{\prime }+12 y = 3 t^{2} {\mathrm e}^{-4 t}
\]
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\[
{} y^{\prime \prime }-4 y = t
\]
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\[
{} y^{\prime \prime }+3 y^{\prime }-4 y = {\mathrm e}^{t}
\]
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\[
{} y^{\prime \prime }+9 y = \sin \left (3 t \right )
\]
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\[
{} y^{\prime \prime }+y = \cos \left (t \right )
\]
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\[
{} y^{\prime \prime }+4 y = \tan \left (2 t \right )
\]
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\[
{} y^{\prime \prime }+y = \csc \left (t \right )
\]
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\[
{} y^{\prime \prime }-8 y^{\prime }+16 y = \frac {{\mathrm e}^{4 t}}{t^{3}}
\]
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\[
{} y^{\prime \prime }-8 y^{\prime }+16 y = \frac {{\mathrm e}^{4 t}}{t^{3}}
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{t} \ln \left (t \right )
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{t} \ln \left (t \right )
\]
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\[
{} x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y = 8 x
\]
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\[
{} t \left (y^{\prime \prime } y+{y^{\prime }}^{2}\right )+y^{\prime } y = 1
\]
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\[
{} x^{\prime \prime }+x = \left \{\begin {array}{cc} 1 & 0\le t <\pi \\ 0 & \pi \le t \end {array}\right .
\]
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\[
{} x^{\prime \prime }+x = \left \{\begin {array}{cc} \cos \left (t \right ) & 0\le t <\pi \\ 0 & \pi \le t \end {array}\right .
\]
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\[
{} x^{\prime \prime }+x = \left \{\begin {array}{cc} t & 0\le t <1 \\ -t +2 & 1\le t <2 \\ 0 & 2\le t \end {array}\right .
\]
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\[
{} x^{\prime \prime }+4 x^{\prime }+13 x = \left \{\begin {array}{cc} 1 & 0\le t <\pi \\ 1-t & \pi \le t <2 \pi \\ 0 & 2 \pi \le t \end {array}\right .
\]
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\[
{} x^{\prime \prime }+x = \cos \left (t \right )
\]
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\[
{} x^{\prime \prime }+x = \cos \left (t \right )
\]
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\[
{} x^{\prime \prime }+x = \cos \left (\frac {9 t}{10}\right )
\]
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\[
{} x^{\prime \prime }+x = \cos \left (\frac {7 t}{10}\right )
\]
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\[
{} x^{\prime \prime }+\frac {x^{\prime }}{10}+x = 3 \cos \left (2 t \right )
\]
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\[
{} x^{\prime \prime }+16 x = t \sin \left (t \right )
\]
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\[
{} x^{\prime \prime }+x = {\mathrm e}^{t}
\]
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\[
{} y^{\prime \prime }+y = 2 \cos \left (x \right )+2 \sin \left (x \right )
\]
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\[
{} \left (x -1\right ) y^{\prime \prime } = 1
\]
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\[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 2
\]
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\[
{} {y^{\prime }}^{2}+y y^{\prime \prime } = 1
\]
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\[
{} y^{\prime \prime } \left (x +2\right )^{5} = 1
\]
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\[
{} y^{\prime \prime } = x \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime } = 2 x \ln \left (x \right )
\]
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\[
{} x y^{\prime \prime } = y^{\prime }+x^{2}
\]
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\[
{} y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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\[
{} y^{\prime \prime }+y^{\prime }+2 = 0
\]
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\[
{} y y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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\[
{} 2 y y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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\[
{} y^{3} y^{\prime \prime } = -1
\]
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\[
{} y^{\prime \prime }+3 y^{\prime } = 3
\]
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\[
{} y^{\prime \prime }-7 y^{\prime } = \left (x -1\right )^{2}
\]
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\[
{} y^{\prime \prime }+3 y^{\prime } = {\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime }+7 y^{\prime } = {\mathrm e}^{-7 x}
\]
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\[
{} y^{\prime \prime }-8 y^{\prime }+16 y = \left (1-x \right ) {\mathrm e}^{4 x}
\]
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\[
{} y^{\prime \prime }-10 y^{\prime }+25 y = {\mathrm e}^{5 x}
\]
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\[
{} 4 y^{\prime \prime }-3 y^{\prime } = x \,{\mathrm e}^{\frac {3 x}{4}}
\]
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\[
{} y^{\prime \prime }-4 y^{\prime } = x \,{\mathrm e}^{4 x}
\]
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\[
{} y^{\prime \prime }+25 y = \cos \left (5 x \right )
\]
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\[
{} y^{\prime \prime }+y = \sin \left (x \right )-\cos \left (x \right )
\]
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\[
{} y^{\prime \prime }+16 y = \sin \left (4 x +\alpha \right )
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+8 y = {\mathrm e}^{2 x} \left (\sin \left (2 x \right )+\cos \left (2 x \right )\right )
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+8 y = {\mathrm e}^{2 x} \left (\sin \left (2 x \right )-\cos \left (2 x \right )\right )
\]
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\[
{} y^{\prime \prime }+6 y^{\prime }+13 y = {\mathrm e}^{-3 x} \cos \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+k^{2} y = k \sin \left (k x +\alpha \right )
\]
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\[
{} y^{\prime \prime }+k^{2} y = k
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+y = -2
\]
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\[
{} y^{\prime \prime }+2 y^{\prime } = -2
\]
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\[
{} y^{\prime \prime }+9 y = 9
\]
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