What is the solution for sqrt(x)(dy)/(dx)=e^{10y+sqrt(x)},x>0 ?

The solution for sqrt(x)(dy)/(dx)=e^{10y+sqrt(x)},x>0 is y=-(ln(-20e^{sqrt(x)}-c_{1}))/(10)

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sqrt(x)(dy)/(dx)=e^{10y+sqrt(x)},x>0

x \frac{d y}{d x} = e^{10 y + x}, x > 0

y = - \frac{ln ( - 20 e ^{x} - c _{1} )}{10}

Solution steps

x \frac{d y}{d x} = e^{10 y + x}

Solve separable ODE:

y = - \frac{ln ( - 20 e ^{x} - c _{1} )}{10}

y = - \frac{ln ( - 20 e ^{x} - c _{1} )}{10}

y^{^{'}} + y = 10

y^{^{'}} = 1 - y^{2}, y (0) = 0

\frac{x}{a ^{2}} + \frac{y d y}{b ^{2} d x} = 0

cos (y) y^{^{'}} + 2 x sin (y) = - 2 x

y^{^{'}} + (2 x + 1) y^{2} = 0

What is the solution for sqrt(x)(dy)/(dx)=e^{10y+sqrt(x)},x>0 ?
The solution for sqrt(x)(dy)/(dx)=e^{10y+sqrt(x)},x>0 is y=-(ln(-20e^{sqrt(x)}-c_{1}))/(10)