What is the solution for ln(x)(dx)/(dy)= x/y ?

The solution for ln(x)(dx)/(dy)= x/y is y=e^{(ln^2(x))/2+c_{1}}

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ln(x)(dx)/(dy)= x/y

ln (x) \frac{d x}{d y} = \frac{x}{y}

y = e^{\frac{l n ^{2} ( x )}{2} + c_{1}}

Solution steps

ln (x) \frac{d}{d y} (x) = \frac{x}{y}

Solve separable ODE:

y = e^{\frac{l n ^{2} ( x )}{2} + c_{1}}

y = e^{\frac{l n ^{2} ( x )}{2} + c_{1}}

y^{^{'}} + tan (3 \cdot x) y = 0

y^{^{'}} = 3 y - 4

\frac{d y}{d x} = x sin (y)

(1 + y^{2}) cos (x) d x - 1 x d y = 0, y (0) = \frac{π}{4}

\frac{d y}{d x} = e^{x - y}, y (0) = ln (6)

What is the solution for ln(x)(dx)/(dy)= x/y ?
The solution for ln(x)(dx)/(dy)= x/y is y=e^{(ln^2(x))/2+c_{1}}