Question: Find the function that satisfies the following differential equation and the initial condition for an input (v_{mathrm{S}}(t) ) (=2 cos 50 t mathrm{~V}) and plot

Find the function that satisfies the following differential equation and the initial condition for an input $v_{\mathrm{S}}(t$ ) $=2 \cos 50 t \mathrm{~V}$ and plot the solution using MATLAB:

\[
\frac{d v(t)}{d t}+50 v(t)=v_{\mathrm{S}}(t), \quad v(0)=0 \mathrm{~V}
\]

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