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

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

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x(dy)/(dx)+y=y^2ln(x)

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

y = \frac{1}{ln ( x ) + 1 + c _{1} x}

Solution steps

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

Solve Bernoulli ODE:

y = \frac{1}{ln ( x ) + 1 + c _{1} x}

y = \frac{1}{ln ( x ) + 1 + c _{1} x}

\frac{87 x ^{3}}{25}

y = (x^{3} - 25 x)^{14}, (5, 0)

\int θ arcsec (4 θ) d θ

y^{^{'}} + 10 y = 2 cos (t)

x y^{^{'}} = 2 y + x^{3} e^{x}

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