a)
Find the second order linear equation which has y1=-e^(6t) - 8e^(-3t) and y2= 2e^(-3t+5)
b)Find the second order linear which has y= -37 pi te^(-11t) as one of it's solutions.
I'm thinking I have to recreate the characteristic polynomial, but not sure how to deal with the -8e^(-3t) in y1 and the (-3t+5) from y2 .
Find the second order linear equation which has y1=-e^(6t) - 8e^(-3t) and y2= 2e^(-3t+5)
b)Find the second order linear which has y= -37 pi te^(-11t) as one of it's solutions.
I'm thinking I have to recreate the characteristic polynomial, but not sure how to deal with the -8e^(-3t) in y1 and the (-3t+5) from y2 .