What is the solution for (dy}{dx}=(\frac{sec(x))/y)^2 ?

The solution for (dy}{dx}=(\frac{sec(x))/y)^2 is y=\sqrt[3]{3tan(x)+c_{1}}

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(dy}{dx}=(\frac{sec(x))/y)^2

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

y = 3 3 tan (x) + c_{1}

Solution steps

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

Solve separable ODE:

y = 3 3 tan (x) + c_{1}

y = 3 3 tan (x) + c_{1}

\frac{\partial}{\partial x} (y x)

(2 x y^{- 1}) d x + (2 - 4 x^{2} y^{- 2}) d y = 0

y = 2 ln (x), at x = 4

\frac{\partial}{\partial x} (x y e^{- x y})

\frac{d}{d x} (ln (3 x + 2 y))

What is the solution for (dy}{dx}=(\frac{sec(x))/y)^2 ?
The solution for (dy}{dx}=(\frac{sec(x))/y)^2 is y=\sqrt[3]{3tan(x)+c_{1}}