What is the solution for x(dy)/(dx)=x^3+11x^3y ?

The solution for x(dy)/(dx)=x^3+11x^3y is y=(e^{(11x^3+c_{1})/3})/(11)-1/11

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x(dy)/(dx)=x^3+11x^3y

x \frac{d y}{d x} = x^{3} + 11 x^{3} y

y = \frac{e ^{\frac{11 x ^{3} + c _{1}}{3}}}{11} - \frac{1}{11}

Solution steps

x \frac{d y}{d x} = x^{3} + 11 x^{3} y

Solve separable ODE:

y = \frac{e ^{\frac{11 x ^{3} + c _{1}}{3}}}{11} - \frac{1}{11}

y = \frac{e ^{\frac{11 x ^{3} + c _{1}}{3}}}{11} - \frac{1}{11}

\frac{tan ( x ) - 1}{sec ( x )}

y y^{^{'}} = 1

\int \frac{e ^{3 x}}{3 x} d x

t \to 0 lim (t \cdot ln (t))

y \to 1 lim (\frac{y ^{4} - 1}{y - 1})

What is the solution for x(dy)/(dx)=x^3+11x^3y ?
The solution for x(dy)/(dx)=x^3+11x^3y is y=(e^{(11x^3+c_{1})/3})/(11)-1/11