Marks: --/1 Select all values of m for which y = e mx is a solution of y \'\' -

Question

Marks: --/1 Select all values of m for which y = emxis a solution of
y'' - 5y' + 6y = 0. Choose at least one answer. a. -2
b. 1
c. 3
d. -1
e. 2
f. 5
g. -3
h. 4 Marks: --/1 Select all values of m for which y = emxis a solution of
y'' - 5y' + 6y = 0. Choose at least one answer. a. -2
b. 1
c. 3
d. -1
e. 2
f. 5
g. -3
h. 4 Select all values of m for which y = emxis a solution of
y'' - 5y' + 6y = 0. Choose at least one answer. a. -2
b. 1
c. 3
d. -1
e. 2
f. 5
g. -3
h. 4 Choose at least one answer. a. -2
b. 1
c. 3
d. -1
e. 2
f. 5
g. -3
h. 4

Explanation / Answer

y'' - 5y' + 6y = 0

characteristic eq. is

m^2 - 5m + 6= 0

m = 3, 2

so, y = e^3x

y = e^2x

options: c, e

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