Solve the linear, first-order IVP. (frac{1}{2} dot{x}+t x=frac{1}{2} t, x(0)=frac{1}{3})

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Solve the linear, first-order IVP.

\(\frac{1}{2} \dot{x}+t x=\frac{1}{2} t, x(0)=\frac{1}{3}\)

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