What is the solution for xe^{-t}(dx)/(dt)=1 ?

The solution for xe^{-t}(dx)/(dt)=1 is x=sqrt(2e^t+c_{1)},x=-sqrt(2e^t+c_{1)}

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xe^{-t}(dx)/(dt)=1

x e^{- t} \frac{d x}{d t} = 1

x = 2 e^{t} + c_{1}, x = - 2 e^{t} + c_{1}

Solution steps

x e^{- t} \frac{d x}{d t} = 1

Solve separable ODE:

x = 2 e^{t} + c_{1}, x = - 2 e^{t} + c_{1}

x = 2 e^{t} + c_{1}, x = - 2 e^{t} + c_{1}

\int 10 x + 0.5 d x

x sin (2 x - 4)

8 y^{6} + 5 x^{3} = 7 y + 6 x

\frac{d}{d x} (cot (cos (x)))

y^{^{''}} = 4 t^{2}

What is the solution for xe^{-t}(dx)/(dt)=1 ?
The solution for xe^{-t}(dx)/(dt)=1 is x=sqrt(2e^t+c_{1)},x=-sqrt(2e^t+c_{1)}