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

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

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

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

y = ln (- \frac{x ^{2}}{2} + c_{1})

Solution steps

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

Solve separable ODE:

y = ln (- \frac{x ^{2}}{2} + c_{1})

y = ln (- \frac{x ^{2}}{2} + c_{1})

\frac{d x}{d t} = 14 - 0.7 x

\frac{d y}{d x} = \frac{3 sin ( x )}{y}

\frac{d y}{d x} + 16 x y = 0

2 x \frac{d y}{d x} + (1 - x) \frac{d y}{d x} - 2 y = 0

\frac{d y}{d x} = \frac{1 - y ^{2}}{1 - x ^{2}}

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