1. The problem statement, all variables and given/known data Hi, basically I have a boundary value problem and just want to check that my general solution is correct. x'''' + 16x = 0 2. Relevant equations 3. The attempt at a solution I'm pretty sure you make a characteristic equation which would be m4 + 16 = 0. Solving this I get m to be √2 +- √2 i and -√2 +- √2 i. I therefore get my general solution to be: Ae(√2t)cos(√2t) + Be(-√2t)cos(√2t) + Ce(-√2t)sin(√2t) + De(√2t)sin(√2t) Is this correct or am I on totally the wrong track? I just want to make sure this is correct before applying the initial and boundary coniditions. Thanks.