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Popular Calculus >

(dr)/(dt)=-2tr

Solution

\frac{d r}{d t} = - 2 t r

Solution

r = e^{- t^{2} + c_{1}}

Solution steps

\frac{d r}{d t} = - 2 t r

Solve separable ODE:

r = e^{- t^{2} + c_{1}}

r = e^{- t^{2} + c_{1}}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dr)/(dt)=-2tr ?
The solution for (dr)/(dt)=-2tr is r=e^{-t^2+c_{1}}