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Mathematica |
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\[
{} y^{\prime \prime }+9 y = \sec \left (x \right ) \csc \left (x \right )
\]
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\[
{} y^{\prime \prime }+9 y = \csc \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+y = \tan \left (\frac {x}{3}\right )^{2}
\]
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\[
{} 4 y^{\prime \prime }-4 y^{\prime }+y = {\mathrm e}^{\frac {x}{2}} \ln \left (x \right )
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+9 y = {\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+6 y = x^{2}
\]
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\[
{} y^{\prime \prime }+4 y = 2 \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime }+3 y = 3 \,{\mathrm e}^{-4 x}
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+4 y = \frac {{\mathrm e}^{x}}{2}+\frac {{\mathrm e}^{-x}}{2}
\]
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\[
{} y^{\prime \prime }+y^{\prime }-2 y = {\mathrm e}^{-2 x}
\]
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\[
{} y^{\prime \prime }+2 y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+4 y = \frac {{\mathrm e}^{3 x}}{2}-\frac {{\mathrm e}^{-3 x}}{2}
\]
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\[
{} y^{\prime \prime }+3 y^{\prime }-2 y = \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+3 y^{\prime }+2 y = {\mathrm e}^{x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = {\mathrm e}^{3 x} \left (1+\sin \left (2 x \right )\right )
\]
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\[
{} y^{\prime \prime }+2 n^{2} y^{\prime }+n^{4} y = \sin \left (k x \right )
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+5 y = \frac {{\mathrm e}^{x}}{2}+\frac {{\mathrm e}^{-x}}{2}
\]
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\[
{} y^{\prime \prime }+y^{\prime }-2 y = x \,{\mathrm e}^{-x}
\]
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\[
{} y^{\prime \prime }+4 y = x \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime }+2 y = x^{2} {\mathrm e}^{-x}
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = x^{2}-8
\]
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\[
{} y^{\prime \prime }+4 y = x \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = x^{2} \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }-y = x^{2} \cos \left (x \right )
\]
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\[
{} 2 y^{\prime \prime }+3 y^{\prime }-2 y = x^{2} {\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime }+3 y^{\prime }+2 y = x^{2} \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+3 y = x^{2} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }-y = \sin \left (2 x \right ) x
\]
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\[
{} y^{\prime \prime }+2 y^{\prime } = x^{3} \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }-y^{\prime } = x \,{\mathrm e}^{2 x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }-4 y = x \,{\mathrm e}^{2 x} \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }+2 y^{\prime } = x^{2} {\mathrm e}^{-x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime } = \cos \left (t \right )
\]
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\[
{} y^{\prime \prime } = \sec \left (x \right ) \tan \left (x \right )
\]
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\[
{} x^{\prime \prime }+\omega _{0}^{2} x = a \cos \left (\omega t \right )
\]
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\[
{} f^{\prime \prime }+2 f^{\prime }+5 f = {\mathrm e}^{-t} \cos \left (3 t \right )
\]
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\[
{} f^{\prime \prime }+6 f^{\prime }+9 f = {\mathrm e}^{-t}
\]
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\[
{} f^{\prime \prime }+8 f^{\prime }+12 f = 12 \,{\mathrm e}^{-4 t}
\]
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\[
{} f^{\prime \prime }+8 f^{\prime }+12 f = 12 \,{\mathrm e}^{-4 t}
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+y = 4 \,{\mathrm e}^{-x}
\]
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\[
{} y^{\prime \prime }-y = x^{n}
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = 2 x \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime } = x \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime } = x^{n}
\]
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\[
{} y^{\prime \prime } = \cos \left (x \right )
\]
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\[
{} y^{\prime \prime } = x \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime }+y^{\prime }-6 y = 18 \,{\mathrm e}^{5 x}
\]
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\[
{} y^{\prime \prime }+y^{\prime }-2 y = 4 x^{2}+5
\]
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\[
{} y^{\prime \prime }+y = 6 \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 5 x \,{\mathrm e}^{-2 x}
\]
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\[
{} y^{\prime \prime }+4 y = 8 \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = 5 \,{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 3 \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+9 y = 5 \cos \left (2 x \right )
\]
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\[
{} y^{\prime \prime }-y = 9 x \,{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }+y^{\prime }-2 y = -10 \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y^{\prime }-2 y = 4 \cos \left (x \right )-2 \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+\omega ^{2} y = \frac {F_{0} \cos \left (\omega t \right )}{m}
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+6 y = 7 \,{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }-3 y = \sin \left (x \right )^{2}
\]
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\[
{} y^{\prime \prime }+6 y = \sin \left (x \right )^{2} \cos \left (x \right )^{2}
\]
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\[
{} y^{\prime \prime }-16 y = 20 \cos \left (4 x \right )
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+y = 50 \sin \left (3 x \right )
\]
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\[
{} y^{\prime \prime }-y = 10 \,{\mathrm e}^{2 x} \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 169 \sin \left (3 x \right )
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = 40 \sin \left (x \right )^{2}
\]
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\[
{} y^{\prime \prime }+y = 3 \,{\mathrm e}^{x} \cos \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 2 \,{\mathrm e}^{-x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }-4 y = 100 x \,{\mathrm e}^{x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 4 \,{\mathrm e}^{-x} \cos \left (2 x \right )
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+10 y = 24 \,{\mathrm e}^{x} \cos \left (3 x \right )
\]
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\[
{} y^{\prime \prime }+16 y = 34 \,{\mathrm e}^{x}+16 \cos \left (4 x \right )-8 \sin \left (4 x \right )
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+9 y = 4 \,{\mathrm e}^{3 x} \ln \left (x \right )
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+4 y = \frac {{\mathrm e}^{-2 x}}{x^{2}}
\]
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\[
{} y^{\prime \prime }+9 y = 18 \sec \left (3 x \right )^{3}
\]
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\[
{} y^{\prime \prime }+6 y^{\prime }+9 y = \frac {2 \,{\mathrm e}^{-3 x}}{x^{2}+1}
\]
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\[
{} y^{\prime \prime }-4 y = \frac {8}{{\mathrm e}^{2 x}+1}
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+5 y = {\mathrm e}^{2 x} \tan \left (x \right )
\]
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\[
{} y^{\prime \prime }+9 y = \frac {36}{4-\cos \left (3 x \right )^{2}}
\]
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\[
{} y^{\prime \prime }-10 y^{\prime }+25 y = \frac {2 \,{\mathrm e}^{5 x}}{x^{2}+4}
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+13 y = 4 \,{\mathrm e}^{3 x} \sec \left (2 x \right )^{2}
\]
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\[
{} y^{\prime \prime }+y = \sec \left (x \right )+4 \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime }+y = \csc \left (x \right )+2 x^{2}+5 x +1
\]
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\[
{} y^{\prime \prime }-y = 2 \tanh \left (x \right )
\]
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\[
{} y^{\prime \prime }-2 m y^{\prime }+m^{2} y = \frac {{\mathrm e}^{m x}}{x^{2}+1}
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = \frac {4 \,{\mathrm e}^{x} \ln \left (x \right )}{x^{3}}
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+y = \frac {{\mathrm e}^{-x}}{\sqrt {-x^{2}+4}}
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+17 y = \frac {64 \,{\mathrm e}^{-x}}{3+\sin \left (4 x \right )^{2}}
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+4 y = \frac {4 \,{\mathrm e}^{-2 x}}{x^{2}+1}+2 x^{2}-1
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 15 \,{\mathrm e}^{-2 x} \ln \left (x \right )+25 \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }-9 y = F \left (x \right )
\]
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\[
{} y^{\prime \prime }+5 y^{\prime }+4 y = F \left (x \right )
\]
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\[
{} y^{\prime \prime }+y^{\prime }-2 y = F \left (x \right )
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }-12 y = F \left (x \right )
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 5 x \,{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }+y = \sec \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \csc \left (x \right )
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+9 y = 15 \,{\mathrm e}^{3 x} \sqrt {x}
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 4 \,{\mathrm e}^{2 x} \ln \left (x \right )
\]
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\[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 4 \,{\mathrm e}^{-3 x}
\]
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