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

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

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(dy)/(dθ)=4y^2sec^2(2θ)

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

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

Solution steps

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

Solve separable ODE:

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

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

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