Question

Consider the differential equation dy/dx=(1/2)ycos(x), for which the solution is y=f(x). Let f(0)=2.
Which of the following statement(s) about the graph of f(x) are true?(can be more than 1 answer)
1.f(x) has a vertical tangent when y=0.
2.f(x) has a horizantal tangent when x=(pi/2)
3.the slope of f(x) at the point (0,2) is 1.


the particular solution is
a.f(x)=x+2
b.f(x)=2e^((-1/2)sinx)
c.(fx)=sqrroot(sin(x)+4)
d.f(x)=2e^((1/2)sin(x))