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Solve the following initial value proble...

Solve the following initial value problem: `(d r)/(dt)=\ -r t ,\ r(0) = r_0`

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Given differential equation `frac{{dr}}{{dt}}=- rt`
Find: Find the general solution of this differential equation.
`` `=frac{{dr}}{{dt}}=-r {t}`
`` Integrating both side
`` `=int frac{{d} r}{{r}}=int-{t} {dt} `
...
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