What is the solution for y^'+y/(8x)=0,y(5)=e ?

The solution for y^'+y/(8x)=0,y(5)=e is y=(\sqrt[8]{5}e)/(\sqrt[8]{x)}

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y^'+y/(8x)=0,y(5)=e

y^{^{'}} + \frac{y}{8 x} = 0, y (5) = e

Solution steps

y^{'} (x) + \frac{y}{8 x} = 0

Solve separable ODE:

\frac{( x + a ) d y}{d x - y} = b

e^{- y} cos (x) - \frac{d y}{d x} = 0

y y^{^{'}} = 3 x^{2} 16 + y^{2}

y + y^{^{'}} arcsin (x) = 0

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

What is the solution for y^'+y/(8x)=0,y(5)=e ?
The solution for y^'+y/(8x)=0,y(5)=e is y=(\sqrt[8]{5}e)/(\sqrt[8]{x)}