What is the solution for y(dy)/(dx)-y^3=y^2ln(x) ?

The solution for y(dy)/(dx)-y^3=y^2ln(x) is y=(x^x)/(e^x*integral of-e^{-x)x^x}

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y(dy)/(dx)-y^3=y^2ln(x)

y \frac{d y}{d x} - y^{3} = y^{2} ln (x)

y = \frac{x ^{x}}{e ^{x} \cdot \int - e ^{- x} x ^{x} d x}

Solution steps

y \frac{d y}{d x} - y^{3} = y^{2} ln (x)

Solve Bernoulli ODE:

y = \frac{x ^{x}}{e ^{x} \cdot \int - e ^{- x} x ^{x} d x}

y = \frac{x ^{x}}{e ^{x} \cdot \int - e ^{- x} x ^{x} d x}

What is the solution for y(dy)/(dx)-y^3=y^2ln(x) ?
The solution for y(dy)/(dx)-y^3=y^2ln(x) is y=(x^x)/(e^x*integral of-e^{-x)x^x}