Asked by Mathematics
For what values of r does the function
y = erx
Satisfy the equation
y'' + 5y' + 6y = 0?
y = erx
Satisfy the equation
y'' + 5y' + 6y = 0?
Answers
Answered by
Damon
do you mean y = e^rx ?
r^2 e^rx + 5 r e^rx + 6 e^rx = 0
r%2 + 5 r + 6 = 0
(r+3)(r+2) = 0
r = -3 or -2
r^2 e^rx + 5 r e^rx + 6 e^rx = 0
r%2 + 5 r + 6 = 0
(r+3)(r+2) = 0
r = -3 or -2
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