Toronto Math Forum
MAT2442019F => MAT244Lectures & Home Assignments => Chapter 7 => Topic started by: chohahur on November 14, 2019, 09:29:33 PM

hi, I am confused about finding the p value somehow in the higher order equations. is the p supposed to be the coefficient of the second term, or the coefficient of the second highest term?
for example, if we have an equation y'''  10y' +6y = 5e^(9t), is the p value suppose to be 10 or what? thanks

according to the Abel rule, the value of p is always going to be the coefficient of (n1)th derivative term(as n=>the highest time of derivative , under the assumption that the coefficient of the highest term =1. while the coefficient of the second term is not important.
in this question, we can see the equation as y'''  0y'' + 10y' +6y = 5e^(9t), therefore the value of p = 0 from 0y''.