Solve the separable differential equation $\displaystyle {\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{t}\right.}}}}={\frac{{{t}}}{{{t}^{{2}}{y}+{y}}}}$.

Use the following initial condition: $\displaystyle {y}{\left({0}\right)}={7}$.

Write answer as a formula in the variable $\displaystyle {t}$.



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