Solve the given equations (See textbook page 29, items 21 and 22).
(a) y^(')=(xy+y^(2))/(x^(2));
(b) y^(')=-(x^(2)+y^(2))/(2xy);
(c) (dx)/(dt)=(x^(2)+t\sqrt(t^(2)+x^(2)))/(tx);
(d) y^(')=(y(lny-lnx+1))/(x)
(e) y^(')=\sqrt(x+y)-1;
(f) y^(')=(x-y+5)^(2).