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

The solution for sqrt(x)(dy)/(dx)=e^{3y+sqrt(x)} is y=-(ln(-6e^{sqrt(x)}-c_{1}))/3

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sqrt(x)(dy)/(dx)=e^{3y+sqrt(x)}

x \frac{d y}{d x} = e^{3 y + x}

y = - \frac{ln ( - 6 e ^{x} - c _{1} )}{3}

Solution steps

x \frac{d y}{d x} = e^{3 y + x}

Solve separable ODE:

y = - \frac{ln ( - 6 e ^{x} - c _{1} )}{3}

y = - \frac{ln ( - 6 e ^{x} - c _{1} )}{3}

y^{^{'}} + 4 y = 2

\frac{d y}{d x} = e^{x} cos^{2} (y)

(x^{2} + 1) \frac{d y}{d x} + 3 x (y - 1) = 0, y (0) = 2

y^{^{'}} sec (t) = \frac{- y ^{17}}{16}

(x^{2} + 1) \frac{d y}{d x} + 3 x y = 3 x, y (0) = 2

What is the solution for sqrt(x)(dy)/(dx)=e^{3y+sqrt(x)} ?
The solution for sqrt(x)(dy)/(dx)=e^{3y+sqrt(x)} is y=-(ln(-6e^{sqrt(x)}-c_{1}))/3