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Mathematica |
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\[
{} 2 y^{\prime \prime }-7 y^{\prime }-4 y = {\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+9 y = 54 x +18
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 100 \sin \left (4 x \right )
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+y = 4 \sinh \left (x \right )
\]
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\[
{} y^{\prime \prime }+y^{\prime }-2 y = 2 \cosh \left (2 x \right )
\]
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\[
{} y^{\prime \prime }-y^{\prime }+10 y = 20-{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 2 \cos \left (x \right )^{2}
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+3 y = x +{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+3 y = x^{2}-1
\]
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\[
{} y^{\prime \prime }-9 y = {\mathrm e}^{3 x}+\sin \left (x \right )
\]
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\[
{} x^{\prime \prime }+4 x^{\prime }+3 x = {\mathrm e}^{-3 t}
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+5 y = 6 \sin \left (t \right )
\]
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\[
{} x^{\prime \prime }-3 x^{\prime }+2 x = \sin \left (t \right )
\]
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\[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 3 \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+6 y^{\prime }+10 y = 50 x
\]
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\[
{} x^{\prime \prime }+2 x^{\prime }+2 x = 85 \sin \left (3 t \right )
\]
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\[
{} y^{\prime \prime } = 3 \sin \left (x \right )-4 y
\]
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\[
{} x^{\prime \prime }+5 x^{\prime }+6 x = \cos \left (t \right )
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = 4 x^{2}
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+25 y = 2 \sin \left (\frac {t}{2}\right )-\cos \left (\frac {t}{2}\right )
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+25 y = 64 \,{\mathrm e}^{-t}
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+25 y = 50 t^{3}-36 t^{2}-63 t +18
\]
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\[
{} y^{\prime \prime } = 9 x^{2}+2 x -1
\]
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\[
{} y^{\prime \prime }-5 y = 2 \,{\mathrm e}^{5 x}
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = x^{2}-1
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = 4 \,{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = 4 \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = 3 \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = x \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{x}
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\]
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\[
{} x^{\prime \prime }+4 x = \sin \left (2 t \right )^{2}
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{x^{5}}
\]
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\[
{} y^{\prime \prime }+y = \sec \left (x \right )
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime }-60 y^{\prime }-900 y = 5 \,{\mathrm e}^{10 x}
\]
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\[
{} y^{\prime \prime }-7 y^{\prime } = -3
\]
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\[
{} y^{\prime \prime }-y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }-y = {\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }-3 y = \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 3 \,{\mathrm e}^{-2 x}
\]
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\[
{} y^{\prime \prime }+5 y^{\prime }-3 y = \operatorname {Heaviside}\left (x -4\right )
\]
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\[
{} q^{\prime \prime }+9 q^{\prime }+14 q = \frac {\sin \left (t \right )}{2}
\]
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\[
{} y^{\prime \prime }-y = 4-x
\]
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\[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 2 \,{\mathrm e}^{x} \left (1-x \right )
\]
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\[
{} y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{5 x}
\]
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\[
{} y^{\prime \prime }+9 y = x \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 1
\]
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\[
{} y^{\prime \prime }-4 y^{\prime } = 5
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+9 y = {\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }+y^{\prime }-2 y = -2 x^{2}+2 x +2
\]
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\[
{} y^{\prime \prime }-y = 4 x \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime }-y = \sin \left (x \right )^{2}
\]
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\[
{} y^{\prime \prime }-y = \frac {1}{\left (1+{\mathrm e}^{-x}\right )^{2}}
\]
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\[
{} y^{\prime \prime }+y = \csc \left (x \right )
\]
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\[
{} y^{\prime \prime }-3 y^{\prime }+2 y = \sin \left ({\mathrm e}^{-x}\right )
\]
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\[
{} y^{\prime \prime }+y = \csc \left (x \right )
\]
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\[
{} y^{\prime \prime }+4 y = 4 \sec \left (x \right )^{2}
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+3 y = \frac {1}{1+{\mathrm e}^{-x}}
\]
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\[
{} y^{\prime \prime }-y = {\mathrm e}^{-x} \sin \left ({\mathrm e}^{-x}\right )+\cos \left ({\mathrm e}^{-x}\right )
\]
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\[
{} y^{\prime \prime }-y = \frac {1}{\left (1+{\mathrm e}^{-x}\right )^{2}}
\]
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\[
{} y^{\prime \prime }+2 y = {\mathrm e}^{x}+2
\]
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\[
{} y^{\prime \prime }-y = {\mathrm e}^{x} \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+2 y = x^{2}+\sin \left (x \right )
\]
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\[
{} y^{\prime \prime }-9 y = x +{\mathrm e}^{2 x}-\sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+y = -2 \sin \left (x \right )+4 x \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y = {\mathrm e}^{3 x}+6 \,{\mathrm e}^{x}-3 \,{\mathrm e}^{-2 x}+5
\]
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\[
{} y^{\prime \prime }-y = {\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+4 y = {\mathrm e}^{x}+x \,{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }+4 y = \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+5 y = \cos \left (\sqrt {5}\, x \right )
\]
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\[
{} y^{\prime \prime }-y = x^{2}
\]
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\[
{} y^{\prime \prime }+2 y = x^{3}+x^{2}+{\mathrm e}^{-2 x}+\cos \left (3 x \right )
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }-y = {\mathrm e}^{x} \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+4 y = \frac {{\mathrm e}^{2 x}}{x^{2}}
\]
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\[
{} y^{\prime \prime }-y = x \,{\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime }+5 y^{\prime }+6 y = {\mathrm e}^{-2 x} \sec \left (x \right )^{2} \left (1+2 \tan \left (x \right )\right )
\]
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\[
{} y^{\prime \prime }+y = \tan \left (x \right )
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+6 y = 10
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+4 y = 5 \sin \left (t \right )
\]
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\[
{} y^{\prime \prime } = f \left (x \right )
\]
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\[
{} y^{\prime \prime }+9 y = 18
\]
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\[
{} y^{\prime \prime }+y = 2 \cos \left (x \right )-2 \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \sec \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = {\mathrm e}^{x^{2}}
\]
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\[
{} y^{\prime \prime }+9 y = 5
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 6 x +4
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 6 x +4
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 6 x +4
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 6 x +4
\]
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\[
{} y^{\prime \prime }+9 y = 10 \,{\mathrm e}^{-t}
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+5 y = 29 \cos \left (2 t \right )
\]
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\[
{} y^{\prime \prime }+7 y^{\prime }+12 y = 21 \,{\mathrm e}^{3 t}
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 6 t -8
\]
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\[
{} y^{\prime \prime }+\frac {y}{25} = \frac {t^{2}}{50}
\]
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\[
{} y^{\prime \prime }+3 y^{\prime }+\frac {9 y}{4} = 9 t^{3}+64
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 50 t -100
\]
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