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Mathematica |
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\[
{}y^{\left (6\right )}-y = {\mathrm e}^{2 x}
\] |
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\[
{}y^{\left (6\right )}+2 y^{\prime \prime \prime \prime }+y^{\prime \prime } = x +{\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }+y = \sin \left (3 x \right ) \cos \left (x \right )
\] |
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\[
{}y^{\left (5\right )}-y^{\prime \prime \prime \prime }+y^{\prime } = 2 x^{2}+3
\] |
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\[
{}y^{\prime \prime \prime } = 1
\] |
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\[
{}y^{\prime \prime } = x^{2}+y
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime \prime }-5 y^{\prime \prime }+y^{\prime }-y = 0
\] |
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\[
{}2 y^{\prime \prime }-3 y^{\prime }-2 y = 0
\] |
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\[
{}3 y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }+9 y = 0
\] |
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\[
{}4 y^{\prime \prime }-4 y^{\prime }+5 y = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+5 y = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-6 y = 0
\] |
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\[
{}4 y^{\prime \prime }-4 y^{\prime }+37 y = 0
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+5 y = 0
\] |
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\[
{}4 y^{\prime \prime }-12 y^{\prime }+13 y = 0
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+13 y = 0
\] |
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\[
{}y^{\prime \prime }+6 y^{\prime }+9 y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+5 y = 0
\] |
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\[
{}y^{\prime \prime }-20 y^{\prime }+51 y = 0
\] |
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\[
{}2 y^{\prime \prime }+3 y^{\prime }+y = 0
\] |
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\[
{}3 y^{\prime \prime }+8 y^{\prime }-3 y = 0
\] |
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\[
{}2 y^{\prime \prime }+20 y^{\prime }+51 y = 0
\] |
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\[
{}4 y^{\prime \prime }+40 y^{\prime }+101 y = 0
\] |
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\[
{}y^{\prime \prime }+6 y^{\prime }+34 y = 0
\] |
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\[
{}y^{\prime \prime \prime }+8 y^{\prime \prime }+16 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime \prime }+6 y^{\prime \prime }+13 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime \prime }-6 y^{\prime \prime }+13 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime \prime }+4 y^{\prime \prime }+29 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime \prime }+6 y^{\prime \prime }+25 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime \prime }-6 y^{\prime \prime }+10 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+13 y^{\prime \prime }+36 y = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+3 y = 9 t
\] |
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\[
{}4 y^{\prime \prime }+16 y^{\prime }+17 y = 17 t -1
\] |
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\[
{}4 y^{\prime \prime }+5 y^{\prime }+4 y = 3 \,{\mathrm e}^{-t}
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+4 y = t^{2} {\mathrm e}^{2 t}
\] |
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\[
{}y^{\prime \prime }+9 y = {\mathrm e}^{-2 t}
\] |
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\[
{}2 y^{\prime \prime }-3 y^{\prime }+17 y = 17 t -1
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{-t}
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+5 y = 2+t
\] |
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\[
{}y^{\prime \prime }+8 y^{\prime }+20 y = \sin \left (2 t \right )
\] |
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\[
{}4 y^{\prime \prime }-4 y^{\prime }+y = t^{2}
\] |
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\[
{}2 y^{\prime \prime }+y^{\prime }-y = 4 \sin \left (t \right )
\] |
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\[
{}3 y^{\prime \prime }+5 y^{\prime }-2 y = 7 \,{\mathrm e}^{-2 t}
\] |
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\[
{}y^{\prime \prime }+9 y = 24 \sin \left (t \right ) \left (\operatorname {Heaviside}\left (t \right )+\operatorname {Heaviside}\left (t -\pi \right )\right )
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+y = \operatorname {Heaviside}\left (t \right )-\operatorname {Heaviside}\left (t -1\right )
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+2 y = 5 \cos \left (t \right ) \left (\operatorname {Heaviside}\left (t \right )-\operatorname {Heaviside}\left (t -\frac {\pi }{2}\right )\right )
\] |
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\[
{}y^{\prime \prime }+5 y^{\prime }+6 y = 36 t \left (\operatorname {Heaviside}\left (t \right )-\operatorname {Heaviside}\left (t -1\right )\right )
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+13 y = 39 \operatorname {Heaviside}\left (t \right )-507 \left (t -2\right ) \operatorname {Heaviside}\left (t -2\right )
\] |
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\[
{}y^{\prime \prime }+4 y = 3 \operatorname {Heaviside}\left (t \right )-3 \operatorname {Heaviside}\left (t -4\right )+\left (2 t -5\right ) \operatorname {Heaviside}\left (t -4\right )
\] |
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\[
{}4 y^{\prime \prime }+4 y^{\prime }+5 y = 25 t \left (\operatorname {Heaviside}\left (t \right )-\operatorname {Heaviside}\left (t -\frac {\pi }{2}\right )\right )
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+3 y = \operatorname {Heaviside}\left (t \right )-\operatorname {Heaviside}\left (t -1\right )+\operatorname {Heaviside}\left (t -2\right )-\operatorname {Heaviside}\left (t -3\right )
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime } = \left \{\begin {array}{cc} 4 & 0\le t <1 \\ 6 & 1\le t \end {array}\right .
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime }+2 y = \left \{\begin {array}{cc} 0 & 0\le t <1 \\ 1 & 1\le t <2 \\ -1 & 2\le t \end {array}\right .
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = \left \{\begin {array}{cc} 1 & 0\le t <2 \\ -1 & 2\le t \end {array}\right .
\] |
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\[
{}y^{\prime \prime }+y = \left \{\begin {array}{cc} t & 0\le t <\pi \\ -t & \pi \le t \end {array}\right .
\] |
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\[
{}y^{\prime \prime }+4 y = \left \{\begin {array}{cc} 8 t & 0\le t <\frac {\pi }{2} \\ 8 \pi & \frac {\pi }{2}\le t \end {array}\right .
\] |
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\[
{}y^{\prime \prime }+4 \pi ^{2} y = 3 \delta \left (t -\frac {1}{3}\right )-\delta \left (t -1\right )
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+2 y = 3 \delta \left (t -1\right )
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+29 y = 5 \delta \left (t -\pi \right )-5 \delta \left (t -2 \pi \right )
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = 1-\delta \left (t -1\right )
\] |
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\[
{}4 y^{\prime \prime }+4 y^{\prime }+y = {\mathrm e}^{-\frac {t}{2}} \delta \left (t -1\right )
\] |
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\[
{}y^{\prime \prime }-7 y^{\prime }+6 y = \delta \left (t -1\right )
\] |
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\[
{}y^{\prime \prime \prime }+y^{\prime \prime }+4 y^{\prime }+4 y = 8
\] |
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\[
{}y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 4 t
\] |
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\[
{}y^{\prime \prime \prime }-y^{\prime \prime }+4 y^{\prime }-4 y = 8 \,{\mathrm e}^{2 t}-5 \,{\mathrm e}^{t}
\] |
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\[
{}y^{\prime \prime \prime }-5 y^{\prime \prime }+y^{\prime }-y = -t^{2}+2 t -10
\] |
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\[
{}y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 12 \operatorname {Heaviside}\left (t \right )-12 \operatorname {Heaviside}\left (t -1\right )
\] |
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\[
{}y^{\prime \prime \prime \prime }-16 y = 32 \operatorname {Heaviside}\left (t \right )-32 \operatorname {Heaviside}\left (t -\pi \right )
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+y = 1
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+5 y = {\mathrm e}^{t}
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime }-7 y = 4
\] |
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\[
{}y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 5
\] |
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\[
{}3 y^{\prime \prime }+5 y^{\prime }-2 y = 3 t^{2}
\] |
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\[
{}y^{\prime \prime \prime } = 2 y^{\prime \prime }-4 y^{\prime }+\sin \left (t \right )
\] |
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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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\[
{}y^{\prime \prime }+y = f \left (x \right )
\] |
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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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\[
{}y^{\prime \prime }-2 k y^{\prime }+k^{2} y = {\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime } = a^{2} y
\] |
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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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\[
{}y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime \prime }-3 a y^{\prime \prime }+3 a^{2} y^{\prime }-y a^{3} = 0
\] |
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