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Mathematica |
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\[
{}x^{\prime \prime } = 50
\] |
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\[
{}x^{\prime \prime } = -20
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\[
{}x^{\prime \prime } = 3 t
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\[
{}x^{\prime \prime } = 2 t +1
\] |
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\[
{}x^{\prime \prime } = 4 \left (3+t \right )^{2}
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\[
{}x^{\prime \prime } = \frac {1}{\sqrt {t +4}}
\] |
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\[
{}x^{\prime \prime } = \frac {1}{\left (t +1\right )^{3}}
\] |
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\[
{}x^{\prime \prime } = 50 \sin \left (5 t \right )
\] |
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\[
{}y^{\prime \prime }+y = 3 x
\] |
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\[
{}y^{\prime \prime }-4 y = 12
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }-3 y = 6
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+2 y = 2 x
\] |
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\[
{}y^{\prime \prime }+2 y = 6 x +4
\] |
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\[
{}y^{\prime \prime }+16 y = {\mathrm e}^{3 x}
\] |
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\[
{}y^{\prime \prime }-y^{\prime }+2 y = 3 x +4
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-6 y = 2 \sin \left (3 x \right )
\] |
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\[
{}4 y^{\prime \prime }+4 y^{\prime }+y = 3 x \,{\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+y = \sin \left (x \right )^{2}
\] |
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\[
{}2 y^{\prime \prime }+4 y^{\prime }+7 y = x^{2}
\] |
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\[
{}y^{\prime \prime }-4 y = \sinh \left (x \right )
\] |
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\[
{}y^{\prime \prime }-4 y = \cosh \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }-3 y = 1+x \,{\mathrm e}^{x}
\] |
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\[
{}2 y^{\prime \prime }+9 y = 2 \cos \left (3 x \right )+3 \sin \left (3 x \right )
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+5 y = {\mathrm e}^{x} \sin \left (x \right )
\] |
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\[
{}y^{\prime \prime }+9 y = 2 x^{2} {\mathrm e}^{3 x}+5
\] |
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\[
{}y^{\prime \prime }+y = \sin \left (x \right )+x \cos \left (x \right )
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+2 y = {\mathrm e}^{x} \sin \left (x \right )
\] |
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\[
{}y^{\prime \prime }+4 y = 3 x \cos \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = x \left ({\mathrm e}^{-x}-{\mathrm e}^{-2 x}\right )
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+13 y = x \,{\mathrm e}^{3 x} \sin \left (3 x \right )
\] |
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\[
{}y^{\prime \prime }+4 y = 2 x
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = {\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }+9 y = \sin \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }+y = \cos \left (x \right )
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+2 y = 1+x
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+2 y = \sin \left (3 x \right )
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+y = \sin \left (x \right ) \sin \left (3 x \right )
\] |
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\[
{}y^{\prime \prime }+9 y = \sin \left (x \right )^{4}
\] |
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\[
{}y^{\prime \prime }+y = x \cos \left (x \right )^{3}
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = 4 \,{\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }-8 y = 3 \,{\mathrm e}^{-2 x}
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+4 y = 2 \,{\mathrm e}^{2 x}
\] |
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\[
{}y^{\prime \prime }-4 y = \sinh \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }+4 y = \cos \left (3 x \right )
\] |
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\[
{}y^{\prime \prime }+9 y = \sin \left (3 x \right )
\] |
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\[
{}y^{\prime \prime }+9 y = 2 \sec \left (3 x \right )
\] |
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\[
{}y^{\prime \prime }+y = \csc \left (x \right )^{2}
\] |
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\[
{}y^{\prime \prime }+4 y = \sin \left (x \right )^{2}
\] |
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\[
{}y^{\prime \prime }-4 y = x \,{\mathrm e}^{x}
\] |
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\[
{}y^{\prime \prime }+y = 2 \sin \left (x \right )
\] |
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\[
{}x^{\prime \prime }+9 x = 10 \cos \left (2 t \right )
\] |
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\[
{}x^{\prime \prime }+4 x = 5 \sin \left (3 t \right )
\] |
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\[
{}x^{\prime \prime }+100 x = 225 \cos \left (5 t \right )+300 \sin \left (5 t \right )
\] |
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\[
{}x^{\prime \prime }+25 x = 90 \cos \left (4 t \right )
\] |
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\[
{}m x^{\prime \prime }+k x = F_{0} \cos \left (\omega t \right )
\] |
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\[
{}x^{\prime \prime }+4 x^{\prime }+4 x = 10 \cos \left (3 t \right )
\] |
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\[
{}x^{\prime \prime }+3 x^{\prime }+5 x = -4 \cos \left (5 t \right )
\] |
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\[
{}2 x^{\prime \prime }+2 x^{\prime }+x = 3 \sin \left (10 t \right )
\] |
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\[
{}x^{\prime \prime }+3 x^{\prime }+3 x = 8 \cos \left (10 t \right )+6 \sin \left (10 t \right )
\] |
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\[
{}x^{\prime \prime }+4 x^{\prime }+5 x = 10 \cos \left (3 t \right )
\] |
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\[
{}x^{\prime \prime }+6 x^{\prime }+13 x = 10 \sin \left (5 t \right )
\] |
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\[
{}x^{\prime \prime }+2 x^{\prime }+26 x = 600 \cos \left (10 t \right )
\] |
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\[
{}x^{\prime \prime }+8 x^{\prime }+25 x = 200 \cos \left (t \right )+520 \sin \left (t \right )
\] |
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\[
{}x^{\prime \prime }+2 x^{\prime }+2 x = 2 \cos \left (\omega t \right )
\] |
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\[
{}x^{\prime \prime }+4 x^{\prime }+5 x = 10 \cos \left (\omega t \right )
\] |
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\[
{}x^{\prime \prime }+6 x^{\prime }+45 x = 50 \cos \left (\omega t \right )
\] |
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\[
{}x^{\prime \prime }+10 x^{\prime }+650 x = 100 \cos \left (\omega t \right )
\] |
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\[
{}x^{\prime \prime }+x = \sin \left (2 t \right )
\] |
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\[
{}x^{\prime \prime }+4 x = \cos \left (t \right )
\] |
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\[
{}x^{\prime \prime }+x = \cos \left (3 t \right )
\] |
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\[
{}x^{\prime \prime }+9 x = 1
\] |
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\[
{}x^{\prime \prime }+4 x^{\prime }+3 x = 1
\] |
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\[
{}x^{\prime \prime }+3 x^{\prime }+2 x = t
\] |
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\[
{}x^{\prime \prime }-6 x^{\prime }+8 x = 2
\] |
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\[
{}x^{\prime \prime }-4 x = 3 t
\] |
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\[
{}x^{\prime \prime }+4 x^{\prime }+8 x = {\mathrm e}^{-t}
\] |
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\[
{}x^{\prime \prime }+4 x^{\prime }+13 x = t \,{\mathrm e}^{-t}
\] |
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\[
{}x^{\prime \prime }+6 x^{\prime }+18 x = \cos \left (2 t \right )
\] |
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\[
{}x^{\prime \prime }+9 x = 6 \cos \left (3 t \right )
\] |
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\[
{}x^{\prime \prime }+\frac {2 x^{\prime }}{5}+\frac {226 x}{25} = 6 \,{\mathrm e}^{-\frac {t}{5}} \cos \left (3 t \right )
\] |
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\[
{}x^{\prime \prime }+4 x = f \left (t \right )
\] |
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\[
{}x^{\prime \prime }+2 x^{\prime }+x = f \left (t \right )
\] |
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\[
{}x^{\prime \prime }+4 x^{\prime }+13 x = f \left (t \right )
\] |
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\[
{}x^{\prime \prime }+4 x = \delta \left (t \right )
\] |
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\[
{}x^{\prime \prime }+4 x = \delta \left (t \right )+\delta \left (t -\pi \right )
\] |
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\[
{}x^{\prime \prime }+4 x^{\prime }+4 x = 1+\delta \left (t -2\right )
\] |
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\[
{}x^{\prime \prime }+2 x^{\prime }+x = t +\delta \left (t \right )
\] |
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\[
{}x^{\prime \prime }+2 x^{\prime }+2 x = 2 \delta \left (t -\pi \right )
\] |
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\[
{}x^{\prime \prime }+9 x = \delta \left (t -3 \pi \right )+\cos \left (3 t \right )
\] |
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\[
{}x^{\prime \prime }+4 x^{\prime }+5 x = \delta \left (t -\pi \right )+\delta \left (t -2 \pi \right )
\] |
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\[
{}x^{\prime \prime }+2 x^{\prime }+x = \delta \left (t \right )-\delta \left (t -2\right )
\] |
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\[
{}x^{\prime \prime }+4 x = f \left (t \right )
\] |
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\[
{}x^{\prime \prime }+6 x^{\prime }+9 x = f \left (t \right )
\] |
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\[
{}x^{\prime \prime }+6 x^{\prime }+8 x = f \left (t \right )
\] |
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\[
{}x^{\prime \prime }+4 x^{\prime }+8 x = f \left (t \right )
\] |
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\[
{}y^{\prime \prime }+y = 3 x
\] |
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\[
{}y^{\prime \prime }-4 y = 12
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }-3 y = 6
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+2 y = 2 x
\] |
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\[
{}y^{\prime \prime }+2 y = 4
\] |
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