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Mathematica |
Maple |
Sympy |
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\[
{} x^{\prime \prime }+t^{2} x^{\prime } = 0
\]
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\[
{} x^{\prime \prime }+t x^{\prime }+x = 0
\]
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\[
{} x^{\prime \prime }-t x^{\prime }+x = 0
\]
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\[
{} x^{\prime \prime }-2 a x^{\prime }+a^{2} x = 0
\]
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\[
{} x^{\prime \prime }-\frac {\left (t +2\right ) x^{\prime }}{t}+\frac {\left (t +2\right ) x}{t^{2}} = 0
\]
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\[
{} t^{2} x^{\prime \prime }+t x^{\prime }+\left (t^{2}-\frac {1}{4}\right ) x = 0
\]
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\[
{} x^{\prime \prime }-x^{\prime }-6 x = 0
\]
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\[
{} x^{\prime \prime }-2 x^{\prime }+2 x = 0
\]
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\[
{} x^{\prime \prime }-x^{\prime } = 0
\]
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\[
{} y^{\prime \prime }-7 y^{\prime }+12 y = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+4 x y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }-8 y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-12 y = 0
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }+x y^{\prime }+x^{2} y = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = 0
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+4 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+4 y = 0
\]
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\[
{} \left (1+x \right )^{2} y^{\prime \prime }-3 \left (1+x \right ) y^{\prime }+3 y = 0
\]
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\[
{} \left (x^{2}-1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} \left (x^{2}-x +1\right ) y^{\prime \prime }-\left (x^{2}+x \right ) y^{\prime }+\left (1+x \right ) y = 0
\]
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\[
{} \left (2 x +1\right ) y^{\prime \prime }-4 \left (1+x \right ) y^{\prime }+4 y = 0
\]
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\[
{} \left (x^{3}-x^{2}\right ) y^{\prime \prime }-\left (x^{3}+2 x^{2}-2 x \right ) y^{\prime }+\left (2 x^{2}+2 x -2\right ) y = 0
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 0
\]
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\[
{} 4 y^{\prime \prime }-12 y^{\prime }+5 y = 0
\]
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\[
{} 3 y^{\prime \prime }-14 y^{\prime }-5 y = 0
\]
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\[
{} y^{\prime \prime }-8 y^{\prime }+16 y = 0
\]
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\[
{} 4 y^{\prime \prime }+4 y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+13 y = 0
\]
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\[
{} y^{\prime \prime }+6 y^{\prime }+25 y = 0
\]
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\[
{} y^{\prime \prime }+9 y = 0
\]
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\[
{} 4 y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-12 y = 0
\]
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\[
{} y^{\prime \prime }+7 y^{\prime }+10 y = 0
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+8 y = 0
\]
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\[
{} 3 y^{\prime \prime }+4 y^{\prime }-4 y = 0
\]
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\[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 0
\]
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\[
{} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
\]
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\[
{} 9 y^{\prime \prime }-6 y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+29 y = 0
\]
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\[
{} y^{\prime \prime }+6 y^{\prime }+58 y = 0
\]
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\[
{} y^{\prime \prime }+6 y^{\prime }+13 y = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 0
\]
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\[
{} 9 y^{\prime \prime }+6 y^{\prime }+5 y = 0
\]
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\[
{} 4 y^{\prime \prime }+4 y^{\prime }+37 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+3 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }-4 x y^{\prime }+3 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+4 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+13 y = 0
\]
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\[
{} 3 x^{2} y^{\prime \prime }-4 x y^{\prime }+2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+9 y = 0
\]
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\[
{} 9 x^{2} y^{\prime \prime }+3 x y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+10 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }-10 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+5 x y^{\prime }+3 y = 0
\]
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\[
{} \left (x +2\right )^{2} y^{\prime \prime }-\left (x +2\right ) y^{\prime }-3 y = 0
\]
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\[
{} \left (2 x -3\right )^{2} y^{\prime \prime }-6 \left (2 x -3\right ) y^{\prime }+12 y = 0
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }-12 y = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 0
\]
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\[
{} t x^{\prime \prime }-2 x^{\prime }+9 t^{5} x = 0
\]
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\[
{} \left (t^{3}-2 t^{2}\right ) x^{\prime \prime }-\left (t^{3}+2 t^{2}-6 t \right ) x^{\prime }+\left (3 t^{2}-6\right ) x = 0
\]
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\[
{} t^{2} x^{\prime \prime }+3 t x^{\prime }+3 x = 0
\]
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\[
{} \left (2 t +1\right ) x^{\prime \prime }+t^{3} x^{\prime }+x = 0
\]
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\[
{} t^{2} x^{\prime \prime }+\left (2 t^{3}+7 t \right ) x^{\prime }+\left (8 t^{2}+8\right ) x = 0
\]
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\[
{} t^{3} x^{\prime \prime }-\left (t^{3}+2 t^{2}-t \right ) x^{\prime }+\left (t^{2}+t -1\right ) x = 0
\]
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\[
{} t^{3} x^{\prime \prime }+3 t^{2} x^{\prime }+x = 0
\]
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\[
{} \sin \left (t \right ) x^{\prime \prime }+\cos \left (t \right ) x^{\prime }+2 x = 0
\]
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\[
{} \frac {\left (t +1\right ) x^{\prime \prime }}{t}-\frac {x^{\prime }}{t^{2}}+\frac {x}{t^{3}} = 0
\]
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\[
{} t^{2} x^{\prime \prime }+t x^{\prime }+x = 0
\]
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\[
{} \left (t^{4}+t^{2}\right ) x^{\prime \prime }+2 t^{3} x^{\prime }+3 x = 0
\]
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\[
{} x^{\prime \prime }-\tan \left (t \right ) x^{\prime }+x = 0
\]
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\[
{} f \left (t \right ) x^{\prime \prime }+x g \left (t \right ) = 0
\]
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\[
{} x^{\prime \prime }+\left (t +1\right ) x = 0
\]
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\[
{} y^{\prime \prime }+\lambda y = 0
\]
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\[
{} y^{\prime \prime }+\lambda y = 0
\]
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\[
{} y^{\prime \prime }+\lambda y = 0
\]
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\[
{} y^{\prime \prime }+\lambda y = 0
\]
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\[
{} y^{\prime }+x y^{\prime \prime }+\frac {\lambda y}{x} = 0
\]
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\[
{} y^{\prime }+x y^{\prime \prime }+\frac {\lambda y}{x} = 0
\]
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\[
{} 2 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime }+\frac {\lambda y}{x^{2}+1} = 0
\]
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\[
{} -\frac {6 y^{\prime } x}{\left (3 x^{2}+1\right )^{2}}+\frac {y^{\prime \prime }}{3 x^{2}+1}+\lambda \left (3 x^{2}+1\right ) y = 0
\]
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\[
{} x^{\prime \prime }+x^{4} x^{\prime }-x^{\prime }+x = 0
\]
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\[
{} x^{\prime \prime }+x^{\prime }+{x^{\prime }}^{3}+x = 0
\]
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\[
{} x^{\prime \prime }+\left (x^{4}+x^{2}\right ) x^{\prime }+x^{3}+x = 0
\]
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\[
{} x^{\prime \prime }+\left (5 x^{4}-6 x^{2}\right ) x^{\prime }+x^{3} = 0
\]
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\[
{} x^{\prime \prime }+\left (1+x^{2}\right ) x^{\prime }+x^{3} = 0
\]
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\[
{} x^{\prime \prime }-3 x^{\prime }+2 x = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
\]
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