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Mathematica |
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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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\[
{}y^{\prime \prime }+y^{\prime }-2 y = x^{3}
\] |
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\[
{}t^{2} y^{\prime \prime }+t y^{\prime }+2 y = 0
\] |
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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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\[
{}x^{\prime \prime }+2 x^{\prime }-10 x = 0
\] |
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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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\[
{}x^{2} y^{\prime \prime }-12 x y^{\prime }+42 y = 0
\] |
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\[
{}t^{2} y^{\prime \prime }+3 t y^{\prime }+5 y = 0
\] |
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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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\[
{}t^{2} y^{\prime \prime }-12 t y^{\prime }+42 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+3 x y^{\prime }+5 y = 0
\] |
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\[
{}16 y^{\prime \prime }+24 y^{\prime }+153 y = 0
\] |
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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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\[
{}x^{2} y^{\prime \prime }-x y^{\prime }-16 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+3 x y^{\prime }+2 y = 0
\] |
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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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\[
{}x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime }-\frac {y^{\prime }}{t}+\frac {y}{t^{2}} = \frac {1}{t}
\] |
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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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\[
{}2 t^{2} y^{\prime \prime }-3 t y^{\prime }-3 y = 0
\] |
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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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\[
{}3 t^{2} y^{\prime \prime }-5 t y^{\prime }-3 y = 0
\] |
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\[
{}t^{2} y^{\prime \prime }+7 t y^{\prime }-7 y = 0
\] |
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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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\[
{}t^{2} y^{\prime \prime }+t y^{\prime }-y = 0
\] |
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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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\[
{}t^{2} y^{\prime \prime }+4 t y^{\prime }-4 y = 0
\] |
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\[
{}t^{2} y^{\prime \prime }+6 t y^{\prime }+6 y = 0
\] |
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\[
{}t^{2} y^{\prime \prime }+t y^{\prime }+\left (t^{2}-\frac {1}{4}\right ) y = 0
\] |
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\[
{}t^{2} y^{\prime \prime }+3 t y^{\prime }+y = 0
\] |
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\[
{}a y^{\prime \prime }+b y^{\prime }+c y = 0
\] |
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\[
{}t^{2} y^{\prime \prime }+a t y^{\prime }+b y = 0
\] |
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\[
{}4 t^{2} y^{\prime \prime }+4 t y^{\prime }+\left (36 t^{2}-1\right ) y = 0
\] |
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\[
{}t y^{\prime \prime }+2 y^{\prime }+16 t y = 0
\] |
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\[
{}y^{\prime \prime }+b \left (t \right ) y^{\prime }+c \left (t \right ) y = 0
\] |
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\[
{}y^{\prime \prime }+b \left (t \right ) y^{\prime }+c \left (t \right ) y = 0
\] |
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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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\[
{}y^{\prime \prime }+5 y^{\prime }+y = 0
\] |
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\[
{}8 y^{\prime \prime }+6 y^{\prime }+y = 0
\] |
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\[
{}4 y^{\prime \prime }+9 y = 0
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\[
{}y^{\prime \prime }+16 y = 0
\] |
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\[
{}y^{\prime \prime }+8 y = 0
\] |
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\[
{}y^{\prime \prime }+7 y = 0
\] |
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\[
{}4 y^{\prime \prime }+21 y^{\prime }+5 y = 0
\] |
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\[
{}7 y^{\prime \prime }+4 y^{\prime }-3 y = 0
\] |
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\[
{}4 y^{\prime \prime }+4 y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+9 y = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime } = 0
\] |
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\[
{}3 y^{\prime \prime }-y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime }-12 y = 0
\] |
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\[
{}y^{\prime \prime }-7 y^{\prime }+12 y = 0
\] |
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\[
{}2 y^{\prime \prime }-7 y^{\prime }-4 y = 0
\] |
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\[
{}y^{\prime \prime }-7 y^{\prime }+10 y = 0
\] |
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\[
{}y^{\prime \prime }+36 y = 0
\] |
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\[
{}y^{\prime \prime }+100 y = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+5 y = 0
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+20 y = 0
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\[
{}y^{\prime \prime }+y^{\prime }-y = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }+y = 0
\] |
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