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

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

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sqrt(x)(dy)/(dx)=e^{y+sqrt(x)}

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

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

Solution steps

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

Solve separable ODE:

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

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

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