y(n-2)+3n^2y(n-1)+5y(n)=x(n)

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Solution for y(n-2)+3n^2y(n-1)+5y(n)=x(n) equation: 


Simplifying
y(n + -2) + 3n2y(n + -1) + 5y(n) = x(n)

Reorder the terms:
y(-2 + n) + 3n2y(n + -1) + 5y(n) = x(n)
(-2 * y + n * y) + 3n2y(n + -1) + 5y(n) = x(n)

Reorder the terms:
(ny + -2y) + 3n2y(n + -1) + 5y(n) = x(n)
(ny + -2y) + 3n2y(n + -1) + 5y(n) = x(n)

Reorder the terms:
ny + -2y + 3n2y(-1 + n) + 5y(n) = x(n)
ny + -2y + (-1 * 3n2y + n * 3n2y) + 5y(n) = x(n)
ny + -2y + (-3n2y + 3n3y) + 5y(n) = x(n)

Multiply y * n
ny + -2y + -3n2y + 3n3y + 5ny = x(n)

Reorder the terms:
ny + 5ny + -3n2y + 3n3y + -2y = x(n)

Combine like terms: ny + 5ny = 6ny
6ny + -3n2y + 3n3y + -2y = x(n)

Multiply x * n
6ny + -3n2y + 3n3y + -2y = nx

Solving
6ny + -3n2y + 3n3y + -2y = nx

Solving for variable 'n'.

Reorder the terms:
-1nx + 6ny + -3n2y + 3n3y + -2y = nx + -1nx

Combine like terms: nx + -1nx = 0
-1nx + 6ny + -3n2y + 3n3y + -2y = 0

The solution to this equation could not be determined.

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