What is the solution for (dy}{dx}=-xy+\frac{4x)/y ?

The solution for (dy}{dx}=-xy+\frac{4x)/y is y=sqrt(e^{-x^2-c_{1)}+4},y=-sqrt(e^{-x^2-c_{1)}+4}

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(dy}{dx}=-xy+\frac{4x)/y

\frac{d y}{d x} = - x y + \frac{4 x}{y}

y = e^{- x^{2} - c_{1}} + 4, y = - e^{- x^{2} - c_{1}} + 4

Solution steps

\frac{d y}{d x} = - x y + \frac{4 x}{y}

Solve separable ODE:

y = e^{- x^{2} - c_{1}} + 4, y = - e^{- x^{2} - c_{1}} + 4

y = e^{- x^{2} - c_{1}} + 4, y = - e^{- x^{2} - c_{1}} + 4

\frac{d y}{d x} = 9 x^{2} y^{2}, y \neq = 0

t y^{^{'}} + 2 y = 0

x y^{^{'}} = 6 y (1 + x^{3})

x \frac{d y}{d x} = e^{5 y + x}, x > 0

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

What is the solution for (dy}{dx}=-xy+\frac{4x)/y ?
The solution for (dy}{dx}=-xy+\frac{4x)/y is y=sqrt(e^{-x^2-c_{1)}+4},y=-sqrt(e^{-x^2-c_{1)}+4}