Given the differential equation [frac{d^{2} x}{d t^{2}}+3 frac{d x}{d t}+x=98 quad t geq 0] Using MATLAB program,

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Given the differential equation

\[\frac{d^{2} x}{d t^{2}}+3 \frac{d x}{d t}+x=98 \quad t \geq 0\]

Using MATLAB program, find

(a) $x(t)$ when all the initial conditions are zero

(b) $x(t)$ when $x(0)=0$ and $\dot{x}(0)=2$

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