Differential Equations

$$ \begin{aligned} & (\cos 2 x-\sin 2 x) \frac{d^2 y}{d x^2}+(4 \sin 2 x) \frac{d y}{d x} -4(\sin 2 x+\cos 2 x) y=0 \end{aligned} $$

$$ \begin{aligned} & (\cos 2 x+\sin 2 x) \frac{d^2 y}{d x^2}+(4 \sin 2 x) \frac{d y}{d x} -4(\sin 2 x-\cos 2 x) y=0 \end{aligned} $$

$$ \begin{aligned} & (\cos 2 x-\sin 2 x) \frac{d^2 y}{d x^2}+(4 \sin 2 x) \frac{d y}{d x} +4(\sin 2 x+\cos 2 x) y=0 \end{aligned} $$

$$ \begin{aligned} & (\sin 2 x-\cos 2 x) \frac{d^2 y}{d x^2}-(4 \sin 2 x) \frac{d y}{d x} -4(\sin 2 x+\cos 2 x) y=0 \end{aligned} $$