What is the solution for (dy)/(dx)=(4cos^2(y)tan(x)) ?

The solution for (dy)/(dx)=(4cos^2(y)tan(x)) is y=arctan(-4ln(cos(x))+c_{1})+pin

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(dy)/(dx)=(4cos^2(y)tan(x))

\frac{d y}{d x} = (4 cos^{2} (y) tan (x))

y = arctan (- 4 ln (cos (x)) + c_{1}) + πn

Solution steps

\frac{d y}{d x} = (4 cos^{2} (y) tan (x))

Solve separable ODE:

y = arctan (- 4 ln (cos (x)) + c_{1}) + πn

y = arctan (- 4 ln (cos (x)) + c_{1}) + πn

(\frac{1}{y ^{2}} - \frac{9}{y ^{4}}) (y + 7 y^{3})

\int - 8 sin (x) d x

\int \frac{x ^{2} - x + 8}{x ^{3} + 2 x} d x

\int (x + 1) (3 x + 2) d x

f (x) = x^{3} - 12 x

What is the solution for (dy)/(dx)=(4cos^2(y)tan(x)) ?
The solution for (dy)/(dx)=(4cos^2(y)tan(x)) is y=arctan(-4ln(cos(x))+c_{1})+pin