y[n+1]=n*y[n]+n*n

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Solution for y[n+1]=n*y[n]+n*n equation: 


Simplifying
y[n + 1] = n * y[n] + n * n

Reorder the terms:
y[1 + n] = n * y[n] + n * n
[1 * y + n * y] = n * y[n] + n * n

Reorder the terms:
[ny + 1y] = n * y[n] + n * n
[ny + 1y] = n * y[n] + n * n

Multiply n * y
ny + 1y = ny * n + n * n

Multiply ny * n
ny + 1y = n2y + n * n

Multiply n * n
ny + 1y = n2y + n2

Reorder the terms:
ny + 1y = n2 + n2y

Solving
ny + 1y = n2 + n2y

Solving for variable 'n'.

Reorder the terms:
ny + -1n2 + -1n2y + 1y = n2 + n2y + -1n2 + -1n2y

Reorder the terms:
ny + -1n2 + -1n2y + 1y = n2 + -1n2 + n2y + -1n2y

Combine like terms: n2 + -1n2 = 0
ny + -1n2 + -1n2y + 1y = 0 + n2y + -1n2y
ny + -1n2 + -1n2y + 1y = n2y + -1n2y

Combine like terms: n2y + -1n2y = 0
ny + -1n2 + -1n2y + 1y = 0

The solution to this equation could not be determined.

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