y[n]-0.1n[n-1]=x[n]

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Solution for y[n]-0.1n[n-1]=x[n] equation:


Simplifying
y[n] + -0.1n[n + -1] = x[n]

Multiply y * n
ny + -0.1n[n + -1] = x[n]

Reorder the terms:
ny + -0.1n[-1 + n] = x[n]
ny + [-1 * -0.1n + n * -0.1n] = x[n]
ny + [0.1n + -0.1n2] = x[n]

Reorder the terms:
0.1n + ny + -0.1n2 = x[n]

Multiply x * n
0.1n + ny + -0.1n2 = nx

Solving
0.1n + ny + -0.1n2 = nx

Solving for variable 'n'.

Reorder the terms:
0.1n + -1nx + ny + -0.1n2 = nx + -1nx

Combine like terms: nx + -1nx = 0
0.1n + -1nx + ny + -0.1n2 = 0

The solution to this equation could not be determined.

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