DSolve[x y'[x]+2y[x]==Sin[x], y[x], x]

DSolve[{y'[x]== (1/((E^(y[x]))-x)), y[1]==0}, y[x], x]

DSolve[x y'[x] == (Sqrt[1-((y[x])^2)]), y[x], x]

DSolve[y'[x] == ((x-(E^(-x)))/(y[x]+(E^(y[x])))), y[x], x]

DSolve[{x+y[x] (E^(-x))y'[x] == 0, y[0]==1}, y[x], x]

DSolve[y'[x]== ((a y[x]+b)/(c x+d)), y[x], x]

DSolve[y'[x] == -((a x + b y[x])/(b x + c y[x])), y[x], x]

DSolve[0 == (E^x)Sin[y[x]]+3y[x]+(3(x+y[x])+(E^x)Cos[y[x]])y'[x], y[x], x]