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

The solution for (dy)/(dx)=sin(3y)ln(x) is y=(2arctan(e^{-3x+c_{1}}x^{3x}))/3+(2pin)/3

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(dy)/(dx)=sin(3y)ln(x)

\frac{d y}{d x} = sin (3 y) ln (x)

y = \frac{2 arctan ( e ^{- 3 x + c_{1}} x ^{3 x} )}{3} + \frac{2 πn}{3}

Solution steps

\frac{d y}{d x} = sin (3 y) ln (x)

Solve separable ODE:

y = \frac{2 arctan ( e ^{- 3 x + c_{1}} x ^{3 x} )}{3} + \frac{2 πn}{3}

y = \frac{2 arctan ( e ^{- 3 x + c_{1}} x ^{3 x} )}{3} + \frac{2 πn}{3}

sin (x) + \frac{7}{2} cot (x)

\int y e^{- x y} d x

f (x) = \frac{x - 2}{x ^{2}}

\int_{0}^{a} x a^{2} - x^{2} d x

x \to 3 lim (\frac{5}{x - 3})

What is the solution for (dy)/(dx)=sin(3y)ln(x) ?
The solution for (dy)/(dx)=sin(3y)ln(x) is y=(2arctan(e^{-3x+c_{1}}x^{3x}))/3+(2pin)/3