y'' - y' = e^x
a) solve using undetermined coefficient
b) solve using variation of parameters
a)
auxiliary eq: r^2 - r = 0, r = 0, 1
yc(x) = C1e^x + C2
yp(x) = xAe^x
I figured out y' and y'' and plugged it in and solved for A to get A = 1 and
y(x) = C1e^x + C2 + xe^x.
am i doing this right?
can someone help me get started on VAP
ho
a) solve using undetermined coefficient
b) solve using variation of parameters
a)
auxiliary eq: r^2 - r = 0, r = 0, 1
yc(x) = C1e^x + C2
yp(x) = xAe^x
I figured out y' and y'' and plugged it in and solved for A to get A = 1 and
y(x) = C1e^x + C2 + xe^x.
am i doing this right?
can someone help me get started on VAP
ho