Consider the following ODE:
y"= - 4y
where y is the dependent variable which is a function of the independent variable x.
The general solution for this ODE is: y = c1cos(2x + c2sin(2x)
where c1 and c2 are constants.
Find the particular solution for the Initial Value Problem (IVP) defined by these initial conditions:
y(0) = 1 and y'(0) = 3