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

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

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(dy)/(dx)=4y^2sec^2(2x)

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

y = - \frac{1}{2 tan ( 2 x ) + c _{1}}

Solution steps

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

Solve separable ODE:

y = - \frac{1}{2 tan ( 2 x ) + c _{1}}

y = - \frac{1}{2 tan ( 2 x ) + c _{1}}

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