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ODE |
Mathematica |
Maple |
Sympy |
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\[
{} y^{\prime \prime \prime \prime } \sin \left (x \right )^{4}+2 y^{\prime \prime \prime } \sin \left (x \right )^{3} \cos \left (x \right )+y^{\prime \prime } \sin \left (x \right )^{2} \left (\sin \left (x \right )^{2}-3\right )+y^{\prime } \sin \left (x \right ) \cos \left (x \right ) \left (2 \sin \left (x \right )^{2}+3\right )+\left (a^{4} \sin \left (x \right )^{4}-3\right ) y = 0
\]
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\[
{} f \left (y^{\prime \prime \prime \prime }-2 a^{2} y^{\prime \prime }+a^{4} y\right )+2 \operatorname {df} \left (y^{\prime \prime \prime }-a^{2} y^{\prime }\right ) = 0
\]
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\[
{} f y^{\prime \prime \prime \prime } = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-2 a^{2} y^{\prime \prime }+a^{4} y-\lambda \left (a x -b \right ) \left (y^{\prime \prime }-y a^{2}\right ) = 0
\]
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\[
{} y^{\left (5\right )}+a \,x^{\nu } y^{\prime }+a \nu \,x^{\nu -1} y = 0
\]
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\[
{} x y^{\left (5\right )}-m n y^{\prime \prime \prime \prime }+a x y = 0
\]
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\[
{} x \left (a y^{\prime }+b y^{\prime \prime }+c y^{\prime \prime \prime }+e y^{\prime \prime \prime \prime }\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime \prime \prime }-a y = 0
\]
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\[
{} x^{10} y^{\left (5\right )}-a y = 0
\]
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\[
{} x^{{5}/{2}} y^{\left (5\right )}-a y = 0
\]
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\[
{} \left (x -a \right )^{5} \left (x -b \right )^{5} y^{\left (5\right )}-c y = 0
\]
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\[
{} y^{\prime \prime \prime }-a^{2} \left ({y^{\prime }}^{5}+2 {y^{\prime }}^{3}+y^{\prime }\right ) = 0
\]
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\[
{} y^{\prime \prime \prime }-y y^{\prime \prime }+{y^{\prime }}^{2} = 0
\]
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\[
{} y^{\prime \prime \prime }+a y y^{\prime \prime } = 0
\]
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\[
{} x^{2} y^{\prime \prime \prime }+x \left (-1+y\right ) y^{\prime \prime }+{y^{\prime }}^{2} x +\left (1-y\right ) y^{\prime } = 0
\]
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\[
{} y y^{\prime \prime \prime }-y^{\prime \prime } y^{\prime }+y^{3} y^{\prime } = 0
\]
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\[
{} 4 y^{2} y^{\prime \prime \prime }-18 y y^{\prime } y^{\prime \prime }+15 {y^{\prime }}^{3} = 0
\]
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\[
{} 9 y^{2} y^{\prime \prime \prime }-45 y y^{\prime } y^{\prime \prime }+40 {y^{\prime }}^{3} = 0
\]
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\[
{} 2 y^{\prime } y^{\prime \prime \prime }-3 {y^{\prime }}^{2} = 0
\]
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\[
{} \left (1+{y^{\prime }}^{2}\right ) y^{\prime \prime \prime }-3 y^{\prime } {y^{\prime \prime }}^{2} = 0
\]
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\[
{} \left (1+{y^{\prime }}^{2}\right ) y^{\prime \prime \prime }-\left (3 y^{\prime }+a \right ) {y^{\prime \prime }}^{2} = 0
\]
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\[
{} y^{\prime \prime } y^{\prime \prime \prime }-a \sqrt {b^{2} {y^{\prime \prime }}^{2}+1} = 0
\]
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\[
{} y^{\prime } y^{\prime \prime \prime \prime }-y^{\prime \prime } y^{\prime \prime \prime }+{y^{\prime }}^{3} y^{\prime \prime \prime } = 0
\]
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\[
{} 3 y^{\prime \prime } y^{\prime \prime \prime \prime }-5 {y^{\prime \prime \prime }}^{2} = 0
\]
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\[
{} 9 {y^{\prime \prime }}^{2} y^{\left (5\right )}-45 y^{\prime \prime } y^{\prime \prime \prime } y^{\prime \prime \prime \prime }+40 y^{\prime \prime \prime } = 0
\]
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\[
{} y^{\prime \prime \prime } = f \left (y\right )
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 0
\]
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\[
{} 4 y^{\prime \prime \prime }-3 y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime }-y = 0
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+9 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime } = 0
\]
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\[
{} \left (x^{2}-2 x +2\right ) y^{\prime \prime \prime }-x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\]
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\[
{} \left (x^{3}-x \right ) y^{\prime \prime \prime }+\left (8 x^{2}-3\right ) y^{\prime \prime }+14 x y^{\prime }+4 y = 0
\]
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\[
{} 2 x^{3} y y^{\prime \prime \prime }+6 x^{3} y^{\prime } y^{\prime \prime }+18 x^{2} y y^{\prime \prime }+18 x^{2} {y^{\prime }}^{2}+36 x y y^{\prime }+6 y^{2} = 0
\]
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\[
{} x^{2} y^{\prime \prime \prime }-5 x y^{\prime \prime }+\left (4 x^{4}+5\right ) y^{\prime }-8 x^{3} y = 0
\]
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\[
{} \left (x^{3}+1\right ) y^{\prime \prime \prime }+9 x^{2} y^{\prime \prime }+18 x y^{\prime }+6 y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime \prime }+8 x y^{\prime \prime }+y^{\prime } = 0
\]
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\[
{} x^{\prime \prime \prime }+x^{\prime } = 0
\]
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\[
{} x^{\prime \prime \prime }+x^{\prime \prime } = 0
\]
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\[
{} x^{\prime \prime \prime }-x^{\prime }-8 x = 0
\]
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\[
{} x^{\prime \prime \prime }-8 x = 0
\]
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\[
{} x^{\prime \prime \prime }+x^{\prime \prime }-x^{\prime }-4 x = 0
\]
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\[
{} y^{\prime \prime \prime }-2 y^{\prime \prime }-4 y^{\prime }+8 y = 0
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+12 y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-10 x y^{\prime }-8 y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 0
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+5 y^{\prime }+12 y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }-4 x^{2} y^{\prime \prime }+8 x y^{\prime }-8 y = 0
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y = 0
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+5 y^{\prime }+12 y = 0
\]
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\[
{} y^{\prime \prime \prime }-5 y^{\prime \prime }+7 y^{\prime }-3 y = 0
\]
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\[
{} 4 y^{\prime \prime \prime }+4 y^{\prime \prime }-7 y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0
\]
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\[
{} y^{\prime \prime \prime }+4 y^{\prime \prime }+5 y^{\prime }+6 y = 0
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+8 y^{\prime \prime }+16 y = 0
\]
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\[
{} y^{\left (5\right )}-2 y^{\prime \prime \prime \prime }+y^{\prime \prime \prime } = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }-2 y^{\prime \prime }+2 y^{\prime }+12 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+15 y^{\prime \prime }+20 y^{\prime }+12 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+y = 0
\]
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\[
{} y^{\left (5\right )} = 0
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0
\]
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\[
{} y^{\prime \prime \prime }-2 y^{\prime \prime }+4 y^{\prime }-8 y = 0
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y = 0
\]
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\[
{} y^{\prime \prime \prime }-5 y^{\prime \prime }+9 y^{\prime }-5 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+6 y^{\prime \prime }+2 y^{\prime }+5 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+y^{\prime \prime }+13 y^{\prime }+30 y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-10 x y^{\prime }-8 y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-6 x y^{\prime }+18 y = 0
\]
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\[
{} t^{3} x^{\prime \prime \prime }-3 t^{2} x^{\prime \prime }+6 t x^{\prime }-6 x = 0
\]
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\[
{} t^{3} x^{\prime \prime \prime }-\left (3+t \right ) t^{2} x^{\prime \prime }+2 t \left (3+t \right ) x^{\prime }-2 \left (3+t \right ) x = 0
\]
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\[
{} y^{\prime }+y^{\prime \prime \prime }-3 y^{\prime \prime } = 0
\]
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\[
{} 6 y^{\prime \prime } y^{\prime \prime \prime \prime }-5 {y^{\prime \prime \prime }}^{2} = 0
\]
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\[
{} y^{\prime \prime \prime }-5 y^{\prime \prime }+y^{\prime }-y = 0
\]
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\[
{} 3 y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+y = 0
\]
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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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\[
{} y^{\prime \prime \prime }+\frac {3 y^{\prime \prime }}{x} = 0
\]
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\[
{} y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime \prime } = {y^{\prime \prime }}^{2}
\]
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\[
{} y^{\prime } y^{\prime \prime \prime }-3 {y^{\prime \prime }}^{2} = 0
\]
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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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\[
{} y^{\prime \prime \prime }-3 a y^{\prime \prime }+3 a^{2} y^{\prime }-a^{3} y = 0
\]
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\[
{} y^{\left (5\right )}-4 y^{\prime \prime \prime } = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+9 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-a^{4} y = 0
\]
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