What is the solution for (dr)/(dt)=-2tr,r(0)=2 ?

The solution for (dr)/(dt)=-2tr,r(0)=2 is r=2e^{-t^2}

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(dr)/(dt)=-2tr,r(0)=2

\frac{d r}{d t} = - 2 t r, r (0) = 2

r = 2 e^{- t^{2}}

Solution steps

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

Solve separable ODE:

r = 2 e^{- t^{2}}

r = 2 e^{- t^{2}}

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x \to - 1 lim (2 x^{2} - 5 x + 3)

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x \to - b lim \frac{( ( x + b ) ^{7} + ( x + b ) ^{10} )}{4 ( x + b )}

What is the solution for (dr)/(dt)=-2tr,r(0)=2 ?
The solution for (dr)/(dt)=-2tr,r(0)=2 is r=2e^{-t^2}