a. Solve the IVP. b. Confirm the result of (a) in MATLAB. (ddot{x}+frac{1}{4} dot{x}=e^{-2 t}, x(0)=0, dot{x}(0)=frac{1}{2})

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a. Solve the IVP.

b. Confirm the result of (a) in MATLAB.

\(\ddot{x}+\frac{1}{4} \dot{x}=e^{-2 t}, x(0)=0, \dot{x}(0)=\frac{1}{2}\)

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