Consider the differential equation x3y''' + 12x2y'' + 25xy' - 25y = 0; x, x-5, x-5ln(x), (0, infinity) Find Wronskian W(x, x-5, x-5ln(x))     not = 0 for 0 < x < infinity

What are the roots of the characteristic polynomial for the differential equation y" + 4y' – 5y = 0? O 4 + 5i and 4 - 5i -4/5 and 5/4 O and 1 -5 and 1 4 and -5

A and B can do a piece of work in 12 days; B and C can do it in 15 days while C and A can finish it in 20 days. In how many days will A,B,C finish it, working togeteher? In hpw many days will each one of them finish it, working alone?

Show that the ordinary differential equation x’=(at+bx+m)/(ct+dx+n) a,b,c,d,m,n ∈ R, can always be reduced in the form x’=(at+bx)/(ct+dx )if ad-bc ≠0 ad-bc=0