(i) Find the solution of the Hill's equation for weak focusing represented as n . u\" + 2u = 0 1n general form. Assume n and p are constants. p (ii) Explain the physical meaning of the constants of integration. (iii) Assuming that the initial conditions are 14(50): uo and u'(so) = uf, the solution of Hill's equation can be written as J; ugp . J; (S _ so) u(s)=uocos 7(SSO) + J; 8111 ? Demonstrate that it satises the Hill's equation