- #1
cemar.
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y'' - 8y' + 16 = 0 ; y(0) = 4 ; y'(0) = 9
this should be not too bad but I am stuck in the same place.
m^2 - 8m + 16
m1 = m2 = 4
y = C1e^(mx) + C2(e^(mx))
sub in y(0) = 4
4 = C1 + C2
C1 = 4-C2
y' = mC1e^(mx) + mC2e^(mx)
sub in y'(0) = 9
9 = mC1 + mC2
C1 = 4 - C2 (from above), m=4
9 = 4(4-C2) + 4C2
9 = 16 - 4C2 + 4C2
9 = 16
In this case would there just be no solution or am i missing something?!?
Thank you!
this should be not too bad but I am stuck in the same place.
m^2 - 8m + 16
m1 = m2 = 4
y = C1e^(mx) + C2(e^(mx))
sub in y(0) = 4
4 = C1 + C2
C1 = 4-C2
y' = mC1e^(mx) + mC2e^(mx)
sub in y'(0) = 9
9 = mC1 + mC2
C1 = 4 - C2 (from above), m=4
9 = 4(4-C2) + 4C2
9 = 16 - 4C2 + 4C2
9 = 16
In this case would there just be no solution or am i missing something?!?
Thank you!