how to Solve homogeneous linear difference equation 2x(n+2)+28x(n+1)+98x(n)=0,x(0)=1,x(1)=2

Introduction : The step by step solution of the question how to Solve homogeneous linear difference equation 2x(n+2)+28x(n+1)+98x(n)=0,x(0)=1,x(1)=2 is provided below.Question : Solve\[2x_{n+2}+28x_{n+1}+98x_{n}=0\]with initial conditions \(x_0=1, x_1 =2\)Solution:We have given is homogeneous Linear difference equation\[2x_{n+2}+28x_{n+1}+98x_{n}=0\]To solve a homogeneous linear difference…

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