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ODE |
Mathematica |
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\[
{}y^{\prime \prime }-12 y^{\prime }+36 y = 3 x \,{\mathrm e}^{6 x}-2 \,{\mathrm e}^{6 x}
\] |
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\[
{}y^{\prime \prime }+36 y = 6 \sec \left (6 x \right )
\] |
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\[
{}y^{\prime \prime }+6 y^{\prime }+9 y = 10 \,{\mathrm e}^{-3 x}
\] |
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\[
{}y^{\prime \prime }+6 y^{\prime }+9 y = 2 \cos \left (2 x \right )
\] |
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\[
{}4 y^{\prime \prime }-12 y^{\prime }+9 y = x \,{\mathrm e}^{\frac {3 x}{2}}
\] |
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\[
{}3 y^{\prime \prime }+8 y^{\prime }-3 y = 123 x \sin \left (3 x \right )
\] |
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\[
{}y^{\prime \prime \prime }+8 y = {\mathrm e}^{-2 x}
\] |
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\[
{}y^{\left (6\right )}-64 y = {\mathrm e}^{-2 x}
\] |
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\[
{}y^{\prime \prime }-4 y = t^{3}
\] |
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\[
{}y^{\prime \prime }+4 y = 20 \,{\mathrm e}^{4 t}
\] |
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\[
{}y^{\prime \prime }+4 y = \sin \left (2 t \right )
\] |
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\[
{}y^{\prime \prime }+4 y = 3 \operatorname {Heaviside}\left (t -2\right )
\] |
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\[
{}y^{\prime \prime }+5 y^{\prime }+6 y = {\mathrm e}^{4 t}
\] |
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\[
{}y^{\prime \prime }-5 y^{\prime }+6 y = t^{2} {\mathrm e}^{4 t}
\] |
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\[
{}y^{\prime \prime }-5 y^{\prime }+6 y = 7
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+13 y = {\mathrm e}^{2 t} \sin \left (3 t \right )
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+13 y = 4 t +2 \,{\mathrm e}^{2 t} \sin \left (3 t \right )
\] |
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\[
{}y^{\prime \prime \prime }-27 y = {\mathrm e}^{-3 t}
\] |
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\[
{}y^{\prime \prime }-9 y = 0
\] |
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\[
{}y^{\prime \prime }+9 y = 27 t^{3}
\] |
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\[
{}y^{\prime \prime }+8 y^{\prime }+7 y = 165 \,{\mathrm e}^{4 t}
\] |
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\[
{}y^{\prime \prime }-8 y^{\prime }+17 y = 0
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+9 y = {\mathrm e}^{3 t} t^{2}
\] |
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\[
{}y^{\prime \prime }+6 y^{\prime }+13 y = 0
\] |
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\[
{}y^{\prime \prime }+8 y^{\prime }+17 y = 0
\] |
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\[
{}y^{\prime \prime } = {\mathrm e}^{t} \sin \left (t \right )
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+40 y = 122 \,{\mathrm e}^{-3 t}
\] |
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\[
{}y^{\prime \prime }-9 y = 24 \,{\mathrm e}^{-3 t}
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+13 y = {\mathrm e}^{2 t} \sin \left (3 t \right )
\] |
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\[
{}y^{\prime \prime }+4 y = 1
\] |
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\[
{}y^{\prime \prime }+4 y = t
\] |
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\[
{}y^{\prime \prime }+4 y = {\mathrm e}^{3 t}
\] |
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\[
{}y^{\prime \prime }+4 y = \sin \left (2 t \right )
\] |
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\[
{}y^{\prime \prime }+4 y = \sin \left (t \right )
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+9 y = 1
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+9 y = t
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+9 y = {\mathrm e}^{3 t}
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+9 y = {\mathrm e}^{-3 t}
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+9 y = {\mathrm e}^{t}
\] |
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\[
{}y^{\prime \prime } = \operatorname {Heaviside}\left (t -2\right )
\] |
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\[
{}y^{\prime \prime } = \operatorname {Heaviside}\left (t -2\right )
\] |
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\[
{}y^{\prime \prime }+9 y = \operatorname {Heaviside}\left (t -10\right )
\] |
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\[
{}y^{\prime \prime } = \left \{\begin {array}{cc} 0 & t <1 \\ 1 & 1<t <3 \\ 0 & 3<t \end {array}\right .
\] |
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\[
{}y^{\prime \prime }+9 y = \left \{\begin {array}{cc} 0 & t <1 \\ 1 & 1<t <3 \\ 0 & 3<t \end {array}\right .
\] |
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\[
{}y^{\prime \prime } = \delta \left (t -3\right )
\] |
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\[
{}y^{\prime \prime } = \delta \left (t -1\right )-\delta \left (t -4\right )
\] |
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\[
{}y^{\prime \prime }+y = \delta \left (t \right )+\delta \left (t -\pi \right )
\] |
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\[
{}y^{\prime \prime }+y = -2 \delta \left (t -\frac {\pi }{2}\right )
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime } = \delta \left (t \right )
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime } = \delta \left (t -1\right )
\] |
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\[
{}y^{\prime \prime }+16 y = \delta \left (t -2\right )
\] |
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\[
{}y^{\prime \prime }-16 y = \delta \left (t -10\right )
\] |
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\[
{}y^{\prime \prime }+y = \delta \left (t \right )
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }-12 y = \delta \left (t \right )
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }-12 y = \delta \left (t -3\right )
\] |
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\[
{}y^{\prime \prime }+6 y^{\prime }+9 y = \delta \left (t -4\right )
\] |
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\[
{}y^{\prime \prime }-12 y^{\prime }+45 y = \delta \left (t \right )
\] |
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\[
{}y^{\prime \prime \prime }+9 y^{\prime } = \delta \left (t -1\right )
\] |
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\[
{}y^{\prime \prime \prime \prime }-16 y = \delta \left (t \right )
\] |
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\[
{}y^{\prime \prime }+y^{\prime }-2 y = x^{3}
\] |
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\[
{}y^{\prime \prime \prime }-2 y^{\prime \prime }+5 y^{\prime }+y = {\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-12 y = 0
\] |
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\[
{}y^{\prime \prime }+9 y^{\prime } = 0
\] |
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\[
{}x^{\prime \prime }+2 x^{\prime }-10 x = 0
\] |
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\[
{}x^{\prime \prime }+x = \cos \left (t \right ) t -\cos \left (t \right )
\] |
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\[
{}y^{\prime \prime }-12 y^{\prime }+40 y = 0
\] |
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\[
{}y^{\prime \prime \prime }-4 y^{\prime \prime } = 0
\] |
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\[
{}y^{\prime \prime \prime }-2 y^{\prime \prime } = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-12 y = 0
\] |
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\[
{}y^{\prime \prime }+9 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime \prime }-2 y^{\prime \prime } = 0
\] |
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\[
{}y^{\prime \prime \prime }-4 y^{\prime } = 0
\] |
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\[
{}16 y^{\prime \prime }+24 y^{\prime }+153 y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+\frac {25 y^{\prime \prime }}{2}-5 y^{\prime }+\frac {629 y}{16} = 0
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }-5 y = 0
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+45 y = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+2 y = x
\] |
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\[
{}y^{\prime \prime }-7 y^{\prime }+12 y = 2
\] |
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\[
{}y^{\prime \prime }+4 y = t
\] |
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\[
{}y^{\prime \prime }-y = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+9 y = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-2 y = 0
\] |
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\[
{}y^{\prime \prime }+9 y = 0
\] |
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\[
{}y^{\prime \prime }+y = 2 \cos \left (t \right )
\] |
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\[
{}y^{\prime \prime }+10 y^{\prime }+24 y = 0
\] |
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\[
{}y^{\prime \prime }+16 y = 0
\] |
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\[
{}y^{\prime \prime }+6 y^{\prime }+18 y = 0
\] |
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\[
{}y^{\prime \prime }-5 y^{\prime }+6 y = 0
\] |
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\[
{}y^{\prime \prime }+6 y^{\prime }+8 y = 0
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime }+10 y^{\prime }+25 y = 0
\] |
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\[
{}y^{\prime \prime }+9 y = 0
\] |
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\[
{}y^{\prime \prime }+49 y = 0
\] |
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\[
{}a y^{\prime \prime }+b y^{\prime }+c y = 0
\] |
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\[
{}y^{\prime \prime } = 0
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }-12 y = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }-4 y = 0
\] |
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\[
{}y^{\prime \prime }+8 y^{\prime }+12 y = 0
\] |
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