Question

differential equations question
Find a box with center x = 0, y = 0 to which Picard’s theorem applies, verifying also continuity of f(x, y) and fy(x, y)
in the box, for the equation
y′= x(x + y + 1)^(1/2), y(0) = 0.

Answer 1

http://en.wikipedia.org/wiki/Picard%E2%80%93Lindel%C3%B6f_theorem