\[ y'(x)=\csc (x) \left (x^4 \log (2 x)-2 x^2 y(x) \log (2 x)+y(x)^2 \log (2 x)-\log (2 x)+2 x \sin (x)\right ) \] ✗ Mathematica : cpu = 300.01 (sec), leaf count = 0 , timed out
$Aborted
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve(diff(y(x),x) = (2*x*sin(x)-ln(2*x)+ln(2*x)*x^4-2*ln(2*x)*x^2*y(x)+ln(2*x)*y(x)^2)/sin(x),y(x))