1(a) Find dy/dx, if y= ∫ [x^1/2,0] sin(t^2) dt
(b)Find a continuous non-zero function f on real numbers such
that [f(x)]^2= ∫ [x,0] f(t)sin(t)/(3+cost) dt
(Note: A function f on real numbers is non-zero if it is not everywhere zero).
2.(1+e^x)dy/dx+(e^x)y=-e^-x
3.dy/dx=(2x^2-xy+y^2)/x^2