List of top Mathematics Questions on homogeneous differential equation asked in AP EAPCET

The general solution of the differential equation \[ y(2x+y)\,dx=x(x+y)\,dy \] is

If \[ \cos\frac{y}{x}=A\log x+C \] is the general solution of \[ \left(x\sin\frac{y}{x}\right)dy=\left(y\sin\frac{y}{x}-x\right)dx, \] then \(A=\)