how to Solve homogeneous linear difference equation x(n+2)-2x(n+1)+10x(n)=0,x(0)=1/2,x(1)=3/2

Introduction : The step by step solution of the question how to Solve homogeneous linear difference equation x(n+2)-2x(n+1)+10x(n)=0,x(0)=1/2,x(1)=3/2 is explained below. Question : Solve \[x_{n+2}-2x_{n+1}+10x_{n}=0\] with initial conditions \(x_0=\frac{1}{2}, x_1 =\frac{3}{2}\) Solution: We have given is homogeneous Linear difference equation…

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