What is the solution for (dr)/(dt)+2tr-r=0,r(0)=6 ?

The solution for (dr)/(dt)+2tr-r=0,r(0)=6 is r=6e^{-t^2+t}

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(dr)/(dt)+2tr-r=0,r(0)=6

\frac{d r}{d t} + 2 t r - r = 0, r (0) = 6

r = 6 e^{- t^{2} + t}

Solution steps

\frac{d r}{d t} + 2 t r - r = 0

Solve separable ODE:

r = 6 e^{- t^{2} + t}

r = 6 e^{- t^{2} + t}

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\int \frac{1}{x ^{2} + 5} d x

x \to 2 lim (\frac{- 2}{x ( x - 2 )})

f (x) = \frac{e ^{x}}{4 x + 1}

\int \frac{3 x ^{2} + 2}{( x ^{3} + 2 x ) ^{2}} d x

What is the solution for (dr)/(dt)+2tr-r=0,r(0)=6 ?
The solution for (dr)/(dt)+2tr-r=0,r(0)=6 is r=6e^{-t^2+t}