What is the solution for y/(cos(x))(dy)/(dx)= 1/2 ?

The solution for y/(cos(x))(dy)/(dx)= 1/2 is y=sqrt(sin(x)+c_{1)},y=-sqrt(sin(x)+c_{1)}

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y/(cos(x))(dy)/(dx)= 1/2

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

y = sin (x) + c_{1}, y = - sin (x) + c_{1}

Solution steps

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

Solve separable ODE:

y = sin (x) + c_{1}, y = - sin (x) + c_{1}

y = sin (x) + c_{1}, y = - sin (x) + c_{1}

\frac{d y}{d x} + 4 x y^{3} = 0, y (0) = \frac{1}{2}

\frac{d y}{d t} = - k y + 100 k, y (0) = 50

(2 ln (y) + x ln (y)) d x + x y^{- 1} d y = 0

t x^{^{'}} = - t^{2} x^{3}

x^{^{'}} = x (t^{2} - 1) (t^{2} - 9), x (0) = 1

What is the solution for y/(cos(x))(dy)/(dx)= 1/2 ?
The solution for y/(cos(x))(dy)/(dx)= 1/2 is y=sqrt(sin(x)+c_{1)},y=-sqrt(sin(x)+c_{1)}