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

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

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x^2y(dy)/(dx)=e^y

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

y = - W (\frac{- 1 + c _{1} x}{e x}) - 1

Solution steps

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

Solve separable ODE:

y = - W (\frac{- 1 + c _{1} x}{e x}) - 1

y = - W (\frac{- 1 + c _{1} x}{e x}) - 1

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

y^{^{'}} = \frac{( 3 x ^{2} - e ^{x} )}{2 y - 5}

y^{^{''}} + 11 y^{^{'}} + 30 y = 0, y (0) = 1, y^{^{'}} (0) = 0

\int_{1}^{4} 3 x e^{x} d x

\int_{1}^{5} \frac{ln ( R )}{R ^{2}} d R

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