What is the solution for xy(dy)/(dx)=1 ?

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

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xy(dy)/(dx)=1

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

y = 2 ln (x) + c_{1}, y = - 2 ln (x) + c_{1}

Solution steps

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

Solve separable ODE:

y = 2 ln (x) + c_{1}, y = - 2 ln (x) + c_{1}

y = 2 ln (x) + c_{1}, y = - 2 ln (x) + c_{1}

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