What is the solution for (dy)/(dx)=6x^5cos^2(y) ?

The solution for (dy)/(dx)=6x^5cos^2(y) is y=arctan(x^6+c_{1})+pin

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(dy)/(dx)=6x^5cos^2(y)

\frac{d y}{d x} = 6 x^{5} cos^{2} (y)

y = arctan (x^{6} + c_{1}) + πn

Solution steps

\frac{d y}{d x} = 6 x^{5} cos^{2} (y)

Solve separable ODE:

y = arctan (x^{6} + c_{1}) + πn

y = arctan (x^{6} + c_{1}) + πn

\int \frac{11 x}{x ^{4} + 1} d x

\int cot^{3} (x) (sec^{2} (x) - 1) d x

\frac{d}{d x} (\frac{100}{x})

x \to 0 + lim (x^{6} ln (x))

y^{^{'}} = \frac{x ^{2}}{y ^{2}}

What is the solution for (dy)/(dx)=6x^5cos^2(y) ?
The solution for (dy)/(dx)=6x^5cos^2(y) is y=arctan(x^6+c_{1})+pin