1) Solve each of the following differential equations.
a)16y"-8y'+y=0
b) (d^4y)/(dx^4)-13((d^2y)/(dx^2))+36y=0
2) use Variation of Parameters to solve y"+16y=(1/3)csc4t
3) use undetermined coefficients to solve
y"-5y'+4y=3e^(3t)-5e^(2t) with y'(0)=-1 and y(0)=1
4) Explain why the product (A+B)(A-B) not equal A^2-B^2 fro two
NXN matrices A and B. what is the product of (A+B)(A-B)?