What is the solution for (dy)/(dx)=3x^{-2}e^{-y} ?

The solution for (dy)/(dx)=3x^{-2}e^{-y} is y=ln(-3/x+c_{1})

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(dy)/(dx)=3x^{-2}e^{-y}

\frac{d y}{d x} = 3 x^{- 2} e^{- y}

y = ln (- \frac{3}{x} + c_{1})

Solution steps

\frac{d y}{d x} = 3 x^{- 2} e^{- y}

Solve separable ODE:

y = ln (- \frac{3}{x} + c_{1})

y = ln (- \frac{3}{x} + c_{1})

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x^{2} y^{^{''}} + 4 x y^{^{'}} - 4 y = 0, y (1) = 0, y^{^{'}} (1) = 3

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\frac{\partial}{\partial x} ((5 x + 2 y) (e^{y}))

What is the solution for (dy)/(dx)=3x^{-2}e^{-y} ?
The solution for (dy)/(dx)=3x^{-2}e^{-y} is y=ln(-3/x+c_{1})