Find y: \(\displaystyle{y}{''}-{9}{y}'+{14}{y}={0}\)

cleffavw8 2022-03-24 Answered
Find y:
y9y+14y=0
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Answers (1)

yaum3xg1
Answered 2022-03-25 Author has 12 answers
Given,
y9y+14y=0
This is a second order linear ordinary differential equation.
(D29D+14)y=0
Auxiliary equation:
m29m+14=0
(m7)(m2)=0
m=2 or m=7
Thus
y=c1r2x+c2e7x
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