What is the solution for sqrt(x)(dy)/(dx)=e^{9y+sqrt(x)},x>0 ?

The solution for sqrt(x)(dy)/(dx)=e^{9y+sqrt(x)},x>0 is y=-(ln(-18e^{sqrt(x)}-c_{1}))/9

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sqrt(x)(dy)/(dx)=e^{9y+sqrt(x)},x>0

x \frac{d y}{d x} = e^{9 y + x}, x > 0

y = - \frac{ln ( - 18 e ^{x} - c _{1} )}{9}

Solution steps

x \frac{d y}{d x} = e^{9 y + x}

Solve separable ODE:

y = - \frac{ln ( - 18 e ^{x} - c _{1} )}{9}

y = - \frac{ln ( - 18 e ^{x} - c _{1} )}{9}

(1 + y^{2}) cos (x) d x - \frac{1}{x} d y = 0, y (0) = \frac{π}{4}

y^{^{'}} = x^{3} y^{3}

d x - (8 x y + 3 y) d y = 0

(y^{2} + 1) sin (x) d x - y cos (x) d y = 0, y (0) = 0

\frac{d y}{d x} = \frac{y}{2 x + 1}

What is the solution for sqrt(x)(dy)/(dx)=e^{9y+sqrt(x)},x>0 ?
The solution for sqrt(x)(dy)/(dx)=e^{9y+sqrt(x)},x>0 is y=-(ln(-18e^{sqrt(x)}-c_{1}))/9