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

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

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

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

y = - ln (- 2 x - c_{1})

Solution steps

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

Solve separable ODE:

y = - ln (- 2 x - c_{1})

y = - ln (- 2 x - c_{1})

\frac{d y}{d x} = \frac{10 + 12 x}{x y ^{2}}, y (1) = 5

\frac{1}{2} y^{^{'}} + 10 y = 12

X d Y - Y d X = 0

\frac{d r}{d s} = e^{r + s}, r (1) = 0

\frac{d p}{d t} = k p (t) ln (\frac{4.5}{p})

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