Question

Solve the IVP: y''-y=0, y(0)=1, y'(0)=2. Find y(1)

Answer 1

Do you know the general solution to this equation?
y'' - y = 0?

Once you do, just like in the previous problem, you then apply the initial conditions

Answer 2

One form of the general solution is

y(x) = C1.exp(x) + C2.exp(-x)