[2" Solvethedifferential equation "],[xy+2y=x^(2)log x]

Solve the following differential equation: xy log((x)/(y))dx+{y^(2)-x^(2)log((x)/(y))}=0

Verify that x^(2)=2y^(2)log y is a solution of the differential equation (x^(2)+y^(2))(dy)/(dx)-xy=0.

The solution of the differential equation (dy)/(dx)=(x^(2)+xy+y^(2))/(x^(2)), is tan^(-1)((x)/(y))^(2)=log y+Ctan^(-1)((y)/(x))=log x+Ctan^(-1)((x)/(y))=log x+Ctan^(-1)((y)/(x))=log y+C

Show that y =a cos (log x)+b sin (logx),x le 0 is a soluton of the differential equation x^(2)y''+xy'+y=0

x^2+y^2=log(xy)

Solve the system of equations log_2y=log_4(xy-2),log_9x^2+log_3(x-y)=1 .

Solve the system of equations log_2y=log_4(xy-2),log_9x^2+log_3(x-y)=1 .

Solve the system of equations log_2y=log_4(xy-2),log_9x^2+log_3(x-y)=1 .

derivative of x^(2)+y^(2)=log(xy)