1. The problem statement, all variables and given/known data 64y''+144y'=0 y1(0)=1 y'1(0)=0 and y2(0)=0 and y'2(0)=1 2. Relevant equations y1=c1*e^(r1*t) + c2*e^(r2*t) 3. The attempt at a solution I start by finding the characteristic equation: 64r^2+144r=0 r1=-9/4 and r2=0 y1=c1e(r1*t) + c2e(r2*t) so I get y1=c1e^(-9/4 *t) + c2e^(0*t) e^(0*t) = 1 will always = 0, which gives y1=c1e^(-9/4 *t) + c2(1) so I suppose I am asking if I started this wrong or if not, because I need y'1. With these values I would have: y'1=(-9/4)c1e^(-9/4 *t) + 0(c2) ?? because the derivative of 1 is zero Is this correct or have I gone about the problem in the wrong way?