1.2 - Solve the following ordinary differential equations, and specify how many and what kind of boundary conditions are needed. Identify dependent and independent variables.

a)

b)

c)

1.3 - Solve the following O.D.E

a)

y(0) = 2, y(0) = -5

b) (Find the general solution

1.4 - Show the solution to the following differential equation:

y(0) = 1, y() = 0

is

where

dr r 0 = - dr d ( y" - 24 8y = ce" +4 = 2.c y' = = 1 1+2 2 y' + 4y' + 5y = 8 + 8 0=x h 26+ fix + = d = 0 + dr2 2 dr 2 er fe(x) = ere de