What is the solution for ydy= 2/x dx ?

The solution for ydy= 2/x dx is y=sqrt(4ln(x)+c_{1)},y=-sqrt(4ln(x)+c_{1)}

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ydy= 2/x dx

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

y = 4 ln (x) + c_{1}, y = - 4 ln (x) + c_{1}

Solution steps

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

Solve separable ODE:

y = 4 ln (x) + c_{1}, y = - 4 ln (x) + c_{1}

y = 4 ln (x) + c_{1}, y = - 4 ln (x) + c_{1}

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

\frac{\partial}{\partial y} (6 x - 3 y)

\frac{d}{d x} (sinh (4 x))

\int cosh (2 x) d x

x \to 0 lim (\frac{x}{x ^{2} - 2})

What is the solution for ydy= 2/x dx ?
The solution for ydy= 2/x dx is y=sqrt(4ln(x)+c_{1)},y=-sqrt(4ln(x)+c_{1)}