Question

Solve the DE using method of undetermined coefficients y"'-6y"+11y'-6y=2xe^-x

Answer 1

hi you can start with finding you Yc
y"'-6y"+11y'-6y=2xe^-x
y"'-6y"+11y'-6y=0
m^3 -6m^2 +11m -6=0
m=1,2,3 therefore
Yc=C1e^x +C2 e^2x +C3 e^3x
now find Yp by using
Yp=(Ax+B)e^-x
Yp'=___?
Yp''=____?
Yp'''=_____?
then sub them to the original equation

Answer 2

@ briangtt