This is LaTeX code:

[latex]
x\cdot y^{(n)}+(n-2)\cdot y^{(n-1)}=-4x^3 \cdot y^{(n-2)} -(n-2)\cdot 12x^2\cdot y^{(n-3)}-(n-2)\cdot (n-3)\cdot 12x \cdot y^{(n-4)}-(n-2)\cdot (n-3)\cdot (n-4)\cdot 4\cdot y^{(n-5)} + y^{(n-1)}
[/latex]