What is the solution for (dy)/(dx)=(1/(sec^2(y))) ?

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

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(dy)/(dx)=(1/(sec^2(y)))

\frac{d y}{d x} = (\frac{1}{sec ^{2} ( y )})

y = arctan (x + c_{1}) + πn

Solution steps

\frac{d y}{d x} = (\frac{1}{sec ^{2} ( y )})

Solve separable ODE:

y = arctan (x + c_{1}) + πn

y = arctan (x + c_{1}) + πn

sin (t + \frac{π}{3})

f (x) = - 3

\int_{- 2}^{1} x d x

\frac{d y}{d x} = e^{2 x + 5 y}

\frac{d}{d x} (\frac{x ^{2} - 9 x + 7}{x ^{2} + 9})

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