Solve the differential equation dy/dx=y^(1/2), y(0)=0, 0<=x<=2?

Question

Solve the differential equation dy/dx=y^(1/2), y(0)=0, 0<=x<=2 using ode45 and
dfield. What happens if y(0) = epsilon
(a very small number such as 10^(-8) ) is used as the
initial condition? Why? Provide the solution and two plots; one from ode45 and
one from dfield.

Answer 1

Well, it's easy to solve -- 2/3 y^(3/2) -- but it sounds like your homework is to use a couple of specific programs, and we can't do that for you.