can you help with that, step by step
Hello, saihat!
Solve the initial value problem: .
We conjecture that: .
The equation becomes: .
Divide by
So we have two solutions: .
Form a linear combination of the two solutions: .
We know the first two values of the sequence:
. .
Add [1] and [2]: .
Substitute into [2]: .
Hence: .
Therefore: .