Question

solve: x(n+2)+4x(n) = Cos (2n)​

Answer 1

Given:

$x(n+2)+4x(n) = \cos(2n)$

To find:

Solve

Solution:

$\Rightarrow x(n+2)+4x(n) = \cos(2n)$

Solve the above given value:

$\Rightarrow x(n+2)+4x(n) = \cos (2n) \\\\\Rightarrow xn+2x+4xn = \cos (2n) \\\\\Rightarrow 5xn+2x = \cos (2n) \\\\ \Rightarrow x(5n+2) = \cos (2n) \\\\ \Rightarrow x = \frac{\cos (2n)}{(5n+2)}$

The final value of x is = $\bold{\frac{\cos (2n)}{(5n+2)}}$