What is the solution for (dy)/(dt)+sqrt([1+t^2])*e^{-t}y=0,y[0]=1 ?

The solution for (dy)/(dt)+sqrt([1+t^2])*e^{-t}y=0,y[0]=1 is y=e^{integral of-e^{-t}sqrt(t^2+1)}

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(dy)/(dt)+sqrt([1+t^2])*e^{-t}y=0,y[0]=1

\frac{d y}{d t} + [1 + t^{2}] \cdot e^{- t} y = 0, y [0] = 1

y = e^{\int - e^{- t} t^{2} + 1 d t}

Solution steps

\frac{d y}{d t} + [1 + t^{2}] \cdot e^{- t} y = 0

Solve separable ODE:

y = e^{\int - e^{- t} t^{2} + 1 d t}

y = e^{\int - e^{- t} t^{2} + 1 d t}

What is the solution for (dy)/(dt)+sqrt([1+t^2])*e^{-t}y=0,y[0]=1 ?
The solution for (dy)/(dt)+sqrt([1+t^2])*e^{-t}y=0,y[0]=1 is y=e^{integral of-e^{-t}sqrt(t^2+1)}