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**Find the solution of y"=-k^2*y , y(0)=1 y'(0)=0?**

## Homework Statement

Find the solution of y"=-k^2*y , y(0)=1 y'(0)=0?

## Homework Equations

y"=-k^2*y , y(0)=1 y'(0)=0?

## The Attempt at a Solution

I've been stuck on this problem for a while but I can't seem to get it. I used the method of making it into a characteristic equation, but I got +/- ki for R but that doesn't seem to work. Thanks in advance for your help!