Question 683952
dy/dx= xy/2lny


dy= xy/2lny*dx


2ln(y)/y*dy= x*dx


int(2ln(y)/y*dy)= int(x*dx)


2*int(ln(y)/y*dy)= int(x*dx)


2*((1/2)*ln(|y|)^2)= (1/2)x^2 + C


ln(|y|)^2= (1/2)x^2 + C


ln(|y|)= sqrt( (1/2)x^2 + C )


ln(|y|) = sqrt( (1/2)x^2 + C )


|y| = e^(sqrt( (1/2)x^2 + C ))


y = +-e^(sqrt( (1/2)x^2 + C ))