1. The problem statement, all variables and given/known data A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the equilibrium position, and the resulting motion takes place in a medium offering a damping force numerically equal to 7/8 times the instantaneous velocity. Use the Laplace transform to find the equation of motion x(t). (Use g = 32 ft/s2 for the acceleration due to gravity.) 2. Relevant equations my''+(beta)y'+ky=0 m=4/32=1/8 beta=7/8 k=4/2=2 3. The attempt at a solution 1/8y''+7/8y'+2y=0, y(0)=-18, y'(0)=0 I know the answer which is: -1/10e^(-7t/2)[7√(15)sin(√(15)t/2)+15cos(√(15)t/2)] https://www.webassign.net/latexImages/5/f/f1c0fb013b3d1d7c4fddd1209a1d60.gif but my awnser came out to be: http://www4c.wolframalpha.com/Calculate/MSP/MSP104701e9a70abfi51f43a000045edi0bi5e950fi2?MSPStoreType=image/gif&s=14&w=373.&h=45 [Broken]. which makes me fell like my y'(0) is incorrect. I would think that y'(0) would be a valid initial condition but the problem seem to not state anymore about velocity.