DSolve[(x^2)((y[x])^3)+x(1+((y[x])^2))y'[x]==0, y[x], x]

DSolve[1+((x/(y[x]))-Sin[y[x]])y'[x]==0, y[x], x]

DSolve[((x^2)+3x y+(y^2))-(x^2)y'==0 /. {y' -> y'[x], y->y[x]}, y[x], x]

DSolve[y'==((2y-x+5)/(2x-y-4)) /. {y' -> y'[x], y->y[x]}, y[x], x]

DSolve[{y'==((y^3)/(1-2x (y^2))) /. {y' -> y'[x], y->y[x]}, y[0]==1}, y[x], x]

DSolve[{y'==(((x^2)-1)/((y^2)+1)) /. {y' -> y'[x], y->y[x]}, y[-1]==1}, y[x], x]

DSolve[y'==((2y+(Sqrt[(x^2)-(y^2)]))/(2x)) /. {y' -> y'[x], y->y[x]}, y[x], x]

DSolve[0==(Cos[2y]-Sin[x])-2Tan[x]Sin[2y]y' /. {y' -> y'[x], y->y[x]}, y[x], x]

DSolve[(x^2)y'+2x y-(y^3)==0 /. {y' -> y'[x], y->y[x]}, y[x], x]